what should the initial speed have been to just make the putt?
Trouble 1
$\cdot$ Referring to FlGuRE $2-27,$ you walk from your home to the library,
then to the park. (a) What is the distance traveled? (b) What is
your displacement?
Nathan S.
Numerade Educator
Trouble 2
$\cdot$ In Figure $ii-27,$ y'all walk from the park to your friend's house,
so back to your house. What are your (a) altitude traveled, and
(b) displacement?
Nathan Southward.
Numerade Educator
Problem iii
$\cdot$ The two tennis players shown in Figure $2-28$ walk to the net to
congratulate i some other. (a) Notice the distance traveled and the
displacement of player A. (b) Echo for player B.
Nathan S.
Numerade Educator
Trouble 4
The golfer in FIGURE $2-29$ sinks the ball in ii putts, every bit shown. What are (a) the distance traveled past the brawl, and (b) the deportation of the brawl?
Nathan S.
Numerade Educator
Trouble v
$\cdot$ A jogger runs on the track shown in FlouRE $2-30 .$ Neglecting the curvature of the corners, (a) what are the altitude traveled and the deportation in running from point A to point $\mathrm{B}$ (b) Detect the altitude and displacement for a consummate circuit of the track.
Nathan Southward.
Numerade Educator
Problem 6
$\because$ Predict/Calculate A child ridesa pony on a circular track whose
radius is five.25 $\mathrm{1000}$ (a) Find the altitude traveled and the displacement later on the kid has gone halfway around the track. (b) Does
the distance traveled increase, decrease, or stay the same when the child completes one excursion of the track? Explain. (c) Does the
displacement increment, decrease, or stay the same when the child
completes one circuit of the rails? Explain. (d) Discover the distance
and displacement after a complete excursion of the rails.
Lisa T.
Numerade Educator
Trouble 7
CE Predict/Explain You lot drive your car in a straight line at
15 $\mathrm{m} / \mathrm{s}$ for 10 kilometers, and so at 25 $\mathrm{m} / \mathrm{due south}$ for another 10 kilometers.
(a) Is your average speed for the unabridged trip greater than, less than,or equal to 20 $\mathrm{m} / \mathrm{due south}$ (b) Cull the best caption from among
the following:
1. More than time is spent at 15 $\mathrm{yard} / \mathrm{southward}$ than at 25 $\mathrm{m} / \mathrm{s}$ .
I. The boilerplate of 15 $\mathrm{g} / \mathrm{due south}$ and 25 $\mathrm{yard} / \mathrm{s}$ is 20 $\mathrm{m} / \mathrm{south}$ .
Ii. Less time is spent at xv $\mathrm{g} / \mathrm{s}$ than at 25 $\mathrm{m} / \mathrm{southward}$ .
Nathan S.
Numerade Educator
Problem 8
CE Predict/Explain Y'all drive your in a straight line at
15 $\mathrm{m} / \mathrm{s}$ for 10 minutes, then at 25 $\mathrm{m} / \mathrm{south}$ another 10 minutes.
(a) Is your average speed for the entire trip greater than, less than,
or equal to 20 $\mathrm{m} / \mathrm{s} ?$ (b) Choose the best caption from among
the following:
one. More than time is required to drive at fifteen $\mathrm{yard} / \mathrm{s}$ than at 25 $\mathrm{yard} / \mathrm{s}$ .
II. Less altitude is covered at 25 $\mathrm{chiliad} / \mathrm{south}$ than at 15 $\mathrm{m} / \mathrm{southward}$ .
III. Equal time is spent at 15 $\mathrm{m} / \mathrm{southward}$ and 25 $\mathrm{m} / \mathrm{s}$ .
William D.
Numerade Educator
Problem nine
$\cdot$ Usain Bolt of Jamaica set a world record in 2009 for the 200 -
meter dash with a time of 19.19 seconds. What was his average
speed? Requite your answer in meters per 2nd and miles per
hour.
William D.
Numerade Educator
Trouble 10
$\cdot$ Bio Kangaroos have been clocked at speeds of 65 $\mathrm{km} / \mathrm{h}$ . (a) How
far can a kangaroo hop in 3.two minutes at this speed? (b) How much
time volition information technology take a kangaroo to hop 0.25 $\mathrm{km}$ at this speed?
Caitlyn A.
Numerade Educator
Problem 11
$\cdot$ Condom Ducks A severe storm on January $10,1992,$ caused a
cargo ship near the Aleutian Islands to spill $29,000$ rubber ducks
and other bath toys into the bounding main. Ten months after hundreds
of condom ducks began to appear along the shoreline near sitka,
Alaska, roughly 1600 miles away. What was the approximate average speed of the ocean current that carried the ducks to shore in
(a) $\mathrm{m} / \mathrm{s}$ and $(\mathrm{b}) \mathrm{mi} / \mathrm{h}$ ? (Prophylactic ducks from the same spill began to
announced on the coast of Maine in July $2003 . )$
Nathan S.
Numerade Educator
Trouble 12
$\cdot$ Radio waves travel at the speed of light, approximately $186,000$
miles per second. How much fourth dimension does information technology take for a radio message
to travel from Earth to the Moon and back? (Meet the within back
cover for the necessary information.)
Nathan S.
Numerade Educator
Problem 13
$\cdot$ It was a night and stormy night, when suddenly you saw a flash
of lightning. Six and a half seconds later you heard the thunder.
Given that the speed of audio in air is about $340 \mathrm{thou} / \mathrm{s},$ how far
away was the lightning bolt? ( fignore the travel time for the flash
of light.)
Hugh R.
Numerade Educator
Problem 14
$\cdot$ BIO Nervus Impulses The human nervous system tin propagate
nerve impulses at near $10^{ii} \mathrm{m} / \mathrm{s}$ . Estimate the time it takes for a
nerve impulse to travel two $\mathrm{g}$ from your toes to your brain.
William D.
Numerade Educator
Problem 15
$\considering$ A finch rides on the back of a Galapagos tortoise, which walks
at the stately pace of 0.060 $\mathrm{m} / \mathrm{southward}$ . Afterwards one.5 minutes the finch tires of
the tortoise'southward dull pace, and takes flying in the same direction for
another 1.five minutes at eleven $\mathrm{one thousand} / \mathrm{s} .$ What was the boilerplate speed of the
finch for this three.0 -minute interval?
Mohammad A.
Numerade Educator
Problem 16
$. .$ You jog at 9.1 $\mathrm{km} / \mathrm{h}$ for v.0 $\mathrm{km}$ , then you spring into a car and
drive an boosted 13 $\mathrm{km}$ . With what average speed must you
drive your auto if your average speed for the entire 18 $\mathrm{km}$ is to be
25 $\mathrm{km} / \mathrm{h}$ ?
Nathan S.
Numerade Educator
Problem 17
A dog runs back and forth between its two owners, who are walking toward one another (Figure 2-31). The canis familiaris starts running when the owners are $viii.2 \mathrm{~m}$ apart. If the canis familiaris runs with a speed of $2.7 \mathrm{~m} / \mathrm{south},$ and the owners each walk with a speed of $ane.3 \mathrm{~m} / \mathrm{s},$ how far has the dog traveled when the owners run across?
Nathan Southward.
Numerade Educator
Problem 18
Bio Predict/Calculate Blood flows through a major avenue at
1.0 $\mathrm{m} / \mathrm{s}$ for $0.fifty \mathrm{south},$ then at 0.threescore $\mathrm{one thousand} / \mathrm{s}$ for some other 0.fifty south through
a smaller artery. (a) Is the boilerplate speed of the blood $0.80 \mathrm{m} / \mathrm{s},$
greater than $0.80 \mathrm{1000} / \mathrm{s},$ or less than 0.fourscore $\mathrm{grand} / \mathrm{s} ?$ Explain. (b) Verify
your answer to part (a) past calculating the boilerplate speed.
Nathan Due south.
Numerade Educator
Problem 19
B1O Predict/Calculate Claret flows through a major artery at
1.0 $\mathrm{m} / \mathrm{due south}$ over a distance of $0.fifty \mathrm{1000},$ then at 0.lx $\mathrm{m} / \mathrm{s}$ for another
0.l $\mathrm{grand}$ through a smaller artery. (a) Is the average speed of the
blood $0.80 \mathrm{m} / \mathrm{s},$ greater than $0.80 \mathrm{k} / \mathrm{s},$ or less than 0.80 $\mathrm{m} / \mathrm{s}$ ?
Explain. (b) Verify your respond to role (a) by calculating the boilerplate speed.
Nathan S.
Numerade Educator
Problem xx
In heavy rush-hour traffic you drive in a straight line at 12 $\mathrm{m} / \mathrm{s}$
for i.five minutes, and then you accept to stop for 3.v minutes, and finally
you drive at 15 $\mathrm{m} / \mathrm{s}$ for another two.5 minutes. (a) Plot a position-
versus-fourth dimension graph for this motion. Your plot should extend from
Nathan South.
Numerade Educator
Problem 21
Predict/Calculate An expectant father paces back and forth,
producing the position-versus-time graph shown in HGURE $ii-32$
Without performing a calculation, signal whether the father'southward
velocity is positive, negative, or nil on each of the post-obit seg-
ments of the graph: (a) $\mathrm{A},$ (b) $\mathrm{B},$ (c) $\mathrm{C}$ , and (d) D. Calculate the
numerical value of the father's velocity for the segments (e) A, (f) B,
(g)C, and (h) $\mathrm{D}$ , and bear witness that your results verify your answers to
parts $(a)-(d)$
Nathan S.
Numerade Educator
Problem 22
The position of a particle equally a function of time is given by
$x=(-5 \mathrm{m} / \mathrm{s}) t+\left(iii \mathrm{chiliad} / \mathrm{s}^{ii}\right) t^{2}$ (a) Plot $10$ versus $t$ for $t=0$ to $t=2 \mathrm{due south}$ .
(b) Notice the average velocity of the particle from $t=0$ to $t=i \mathrm{due south}$ .
(c) Find the average speed from $t=0$ to $t=1 \mathrm{s}$ .
Nathan South.
Numerade Educator
Problem 23
$\cdots$ The position of a particle as a function of time is given by
$ten=(6 \mathrm{m} / \mathrm{s}) t+\left(-2 \mathrm{k} / \mathrm{s}^{2}\right) t^{ii}$ (a) Plot $x$ versus $t$ for $t=0$ to $t=2 \mathrm{s}$ .
(b) Find the boilerplate velocity of the particle from $t=0$ to $t=i \mathrm{s}$ .
(c) Find the average speed from $t=0$ to $t=ane \mathrm{south}$ .
Nathan S.
Numerade Educator
Trouble 24
Predict/Summate A tennis actor moves back and forth along
the baseline while waiting for her opponent to serve, producing
the position-versus-fourth dimension graph shown in FlGuRE $2-33 .$ (a) Without
performing a adding, indicate on which of the segments of
the graph, $A, B,$ or $C,$ the player has the greatest speed. Calcu-
late the histrion's speed for (b) segment $A,$ (c) segment B, and (d)
segment $C,$ and show that your results verify your answers to
office (a).
Nathan Due south.
Numerade Educator
Problem 25
On your nuptials solar day you leave for the church 30.0 minutes
before the ceremony is to brainstorm, which should be enough of fourth dimension
since the church is simply 10.0 miles away. On the style, even so, you
have to make an unanticipated stop for construction work on the
route. As a result, your average speed for the starting time 15 minutes is only
5.0 $\mathrm{mi} / \mathrm{h}$ . What average speed do you demand for the rest of the trip
to get you to the church on fourth dimension?
Nathan S.
Numerade Educator
Problem 26
$\cdot$ CE The position-versus-time plot of a gunkhole positioning itself side by side
to a dock is shown in FlGURE $2-34$ . Rank the six points indicated in
the plot in society of increasing value of the velocity $5,$ starting with
the most negative. Indicate a tie with an equal sign.
Nathan Southward.
Numerade Educator
Problem 27
The position of a particle every bit a role of time is given by
$x=(two.0 \mathrm{m} / \mathrm{due south}) t+\left(-3.0 \mathrm{m} / \mathrm{south}^{3}\correct) t^{3}$ . (a) Plot $x$ versus $t$ for time from
$t=0$ to $t=1.0 \mathrm{south}$ . (b) Find the boilerplate velocity of the particle
from $t=0.35 \mathrm{s}$ to $t=0.45 \mathrm{s}$ . (c) Discover the average velocity from
$t=0.39$ s to $t=0.41 \mathrm{due south}$ . (d) Practice you lot expect the instantaneous
velocity at $t=0.40 \mathrm{s}$ to exist closer to $0.54 \mathrm{m} / \mathrm{s}, 0.56 \mathrm{1000} / \mathrm{south},$ or
0.58 $\mathrm{m} / \mathrm{s} ?$ Explain.
Guilherme B.
Numerade Educator
Problem 28
The position of a particle as a function of time is given by
$x=(ii.0 \mathrm{m} / \mathrm{southward}) t+\left(-3.0 \mathrm{m} / \mathrm{south}^{iii}\right) t^{3}$ . (a) Plot $x$ versus $t$ for time from
$t=0$ to $t=1.0 \mathrm{s}$ . (b) Observe the boilerplate velocity of the particle
from $t=0.35$ s to $t=0.45 \mathrm{south}$ . (c) Find the average velocity from
$t=0.39 \mathrm{s}$ to $t=0.41 \mathrm{s}$ . (d) Practice y'all await the instantaneous
velocity at $t=0.40 \mathrm{s}$ to exist closer to $0.54 \mathrm{grand} / \mathrm{s}, 0.56 \mathrm{grand} / \mathrm{due south},$ or
0.58 $\mathrm{m} / \mathrm{s} ?$ Explain.
Nathan Southward.
Numerade Educator
Trouble 29
CE Predict/Explicate On two occasions you lot accelerate uniformly
from remainder along an on-rampin social club to mergeinto interstate traffic
at 65 $\mathrm{mi} / \mathrm{h}$ . On-ramp $\mathrm{A}$ is 200 $\mathrm{mlong}$ and on-ramp $\mathrm{B}$ is 400 $\mathrm{mlong.}$
(a) Is your acceleration along on-ramp A greater than, less than,
or equal to your acceleration along ramp $\mathrm{B}$ ? (b) Choose the best
caption from amongst the post-obit:
1. Theshorter dispatch distance on ramp A requires a greater
dispatch.
Two. In each case, yous start from rest and have the same final speed.
Iii. The greater distance traveled on ramp B requires a greater air-conditioning-
celeration.
Nathan South.
Numerade Educator
Problem 30
$\cdot \mathrm{A} 747$ airliner reaches its takeoff speed of 156 $\mathrm{mi} / \mathrm{h}$ in 35.2 $\mathrm{south}$ .
What is the magnitude of its boilerplate dispatch?
Nathan Southward.
Numerade Educator
Trouble 31
At the starting gun, a runner accelerates at 1.9 $\mathrm{1000} / \mathrm{southward}^{two}$ for five.2 $\mathrm{south}$ . The runner'south acceleration is zero for the rest of the race. What is the
speed of the runner (a) at $t=2.0 \mathrm{s},$ and (b) at the end of the race?
Nathan S.
Numerade Educator
Problem 32
$\cdot$ A jet makes a landing traveling due east with a speed of 70.6 $\mathrm{chiliad} / \mathrm{s}$ .
If the jet comes to rest in 13.0 $\mathrm{s}$ , what are the magnitude and direction of its average dispatch?
Nathan S.
Numerade Educator
Problem 33
$\cdot$ A car is traveling due north at 23.6 $\mathrm{thousand} / \mathrm{southward}$ . Find the velocity of
the car after 7.ten $\mathrm{s}$ if its acceleration is (a) 1.30 $\mathrm{m} / \mathrm{s}^{2}$ north,
or $(\mathrm{b}) i.xv \mathrm{m} / \mathrm{s}^{2}$ due southward.
Nathan S.
Numerade Educator
Problem 34
A motorcycle moves co-ordinate to the velocity-versus-fourth dimension
graph shown in FloukE $2-35 .$ Detect the average acceleration of the
motorcycle during each of the following segments of the motion:
(a) $\mathrm{A},$ (b) $\mathrm{B},$ and (c) $\mathrm{C}$ .
Nathan Due south.
Numerade Educator
Problem 35
A person on horseback moves co-ordinate to the velocity-versus-
time graph shown in FIGURE $2-36$ . Observe the displacement of the person
son for each of the following segments of the motility: (a) A, (b) B,
and (c) $\mathrm{C}$ .
Nathan S.
Numerade Educator
Problem 36
Running with an initial velocity of $+9.2 \mathrm{k} / \mathrm{due south},$ a horse has an
average acceleration of $-1.81 \mathrm{m} / \mathrm{s}^{2}$ . How much fourth dimension does information technology take
for the horse to subtract its velocity to $+v.5 \mathrm{k} / \mathrm{s} ?$
Nathan S.
Numerade Educator
Problem 37
Predict/Calculate Assume that the brakes in your car create a
abiding deceleration of iv.2 $\mathrm{m} / \mathrm{s}^{2}$ regardless of how fast you are
driving. If you double your driving speed from xviii $\mathrm{g} / \mathrm{due south}$ to $36 \mathrm{chiliad} / \mathrm{s},$
(a) does the fourth dimension required to come to a terminate increment by a factor of
two or a factor of four? Explain. Verify your respond to part (a) by
calculating the stopping times for initial speeds of (b) 18 $\mathrm{grand} / \mathrm{s}$ and
(c) 36 $\mathrm{one thousand} / \mathrm{s} .$
Nathan Southward.
Numerade Educator
Problem 38
\cdots As a train accelerates away from a station, information technology reaches a speed of
4.seven $\mathrm{k} / \mathrm{s}$ in 5.0 $\mathrm{southward}$ due south. If the train's dispatch remains constant, what
is its speed later an boosted 5.0 s has elapsed?
Nathan S.
Numerade Educator
Problem 39
A particle has an acceleration of $+6.24 \mathrm{~m} / \mathrm{s}^{ii}$ for $0.450 \mathrm{~due south}$. At the finish of this time the particle'due south velocity is $+ix.31 \mathrm{~one thousand} / \mathrm{s}$. What was the particle'southward initial velocity?
Nathan Southward.
Numerade Educator
Problem twoscore
$\cdot$ Landing with a speed of $71.4 \mathrm{m} / \mathrm{s},$ and traveling due south, a
jet comes to rest in 949 $\mathrm{thousand}$ . Assuming the jet slows with constant
acceleration, find the magnitude and management of its dispatch.
Nathan S.
Numerade Educator
Problem 41
$\cdot$ When you meet a traffic light turn red, you apply the brakes until
y'all come to a end. If your initial speed was $18 \mathrm{chiliad} / \mathrm{s},$ and you were
heading due west, what was your average velocity during braking?
Assume constant deceleration.
Nathan Southward.
Numerade Educator
Problem 42
CE $*$ A ball is released at the point $x=2 \mathrm{m}$ on an inclined airplane
with a nonzero initial velocity. After being released, the ball moves
with constant acceleration. The acceleration and initial velocity
of the ball are described past 1 of the post-obit four cases: case
$1, a>0, v_{0}>0 ;$ case $2, a>0, v_{0}<0 ;$ example $3, a<0, v_{0}>0 ;$ case
Nathan S.
Numerade Educator
Problem 43
... Starting from rest, a boat increases its speed to iv.82 $\mathrm{m} / \mathrm{s}$ with
abiding acceleration. (a) What is the boat's average speed? (b) If
it takes the boat 4.77 due south to reach this speed, how far has it traveled?
Nathan S.
Numerade Educator
Problem 44
The position of a automobile every bit a role of time is given past
$10=(l \mathrm{m})+(-5.0 \mathrm{m} / \mathrm{s}) t+\left(-10 \mathrm{k} / \mathrm{s}^{2}\right) t^{2}$ . (a) What are the ini-
tial position, initial velocity, and acceleration of the car? (b) Plot $ten$
versus $t$ for $t=0$ to $t=2.0 \mathrm{s}$ . (c) What altitude does the car travel
during the first 1.0 $\mathrm{s} ?$ (d) What is the average velocity of the car
between $t=i.0 \mathrm{s}$ and $t=two.0 \mathrm{s} ?$
Nathan South.
Numerade Educator
Problem 45
The position of a ball as a part of time is given by
$ten=(five.0 \mathrm{m} / \mathrm{s}) t+\left(-10 \mathrm{chiliad} / \mathrm{south}^{ii}\right) t^{2} .$ (a) What are the initial position,
initial velocity, and dispatch of the ball? (b) Plot $x$ versus $t$ for
$t=0$ to $t=2.0 \mathrm{s}$ (c) Find the boilerplate velocity of the ball from
$t=0$ to $t=1.0 \mathrm{due south}$ (d) Discover the boilerplate speed of the ball between
$t=1.0 \mathrm{s}$ and $t=2.0 \mathrm{s} .$
Nathan S.
Numerade Educator
Problem 46
A chetah can advance from rest to 25.0 $\mathrm{m} / \mathrm{s}$ in six.22 $\mathrm{s}$ .
Assuming constant acceleration, (a) how far has the cheetah run in
this time? (b) After sprinting for merely 3.11 $\mathrm{s}$ , is the cheetah'south speed
$12.five \mathrm{m} / \mathrm{s},$ greater than $12.5 \mathrm{m} / \mathrm{south},$ or less than 12.5 $\mathrm{thousand} / \mathrm{s} ?$ Explain.
(c) What is the cheetah'southward average speed for the first three.eleven due south of its
sprint? For the second 3.xi s of its sprint? (d) Summate the distance
covered by the cheetah in the kickoff iii.11 due south and the second 3.11 s.
Nathan S.
Numerade Educator
Problem 47
$\because$ A sled slides from residuum downwardly an icy slope. Measurements taken
from a video bear witness that the distance from the starting point to the
sled at various times is as follows:
(a) Plot the position of the sled versus time. (b) From your plot,
make up one's mind the approximate average speed of the sled from
$t=0.25$ s to $t=1.3 \mathrm{south}$ . (c) Determine the gauge accelera-
tion of the sled, assuming it to be constant.
Nathan S.
Numerade Educator
Problem 48
$\cdot$ A kid slides downward a hill on a toboggan with an dispatch of
1.6 $\mathrm{m} / \mathrm{s}^{two} .$ If she starts at rest, how far has she traveled in (a) $ane.0 \mathrm{s},$
(b) $2.0 \mathrm{s},$ and $(\mathrm{c}) three.0 \mathrm{s?}$
Nathan S.
Numerade Educator
Trouble 49
The Detonator On a ride called the Detonator at Worlds of Fun in
Kansas Urban center, passengers advance straight downward from remainder to
45 $\mathrm{mi} / \mathrm{h}$ in 2.2 seconds. What is the average acceleration of the
passengers on this ride?
Nathan Southward.
Numerade Educator
Problem fifty
Jules Verne In his novel From the Earth to the Moon (1865), Jules
Verne describes a spaceship that is blasted out of a cannon, called
the Columbiad, with a speed of $12,000$ yards/s. The Columbiad is
900 ft long, but function of information technology is packed with explosives, and then the space-
ship accelerates over a distance of only 700 $\mathrm{ft.}$ Judge the accel-
eration experienced by the occupants of the spaceship during
launch. Give your answer in $\mathrm{thousand} / \mathrm{s}^{two}$ . (Verne realized that the "travel-
ers would... encountera fierce recoil, " but he probably didn't
know that people generally lose consciousness if they experience
accelerations greater than about $7 k-lxx \mathrm{m} / \mathrm{s}^{2} )$
Nathan S.
Numerade Educator
Problem 51
$. .810$ Bacterial Move Approximately 0.i$\%$ of the bacteria in an
adult human's intestines are Escherichia coli. These bacteria have
been observed to movement with speeds upwardly to 15$\mu \mathrm{m} / \mathrm{s}$ and maximum
accelerations of 166$\mu \mathrm{m} / \mathrm{due south}^{2}$ . Suppose an $E$ . coli bacterium in your
intestines starts at rest and accelerates at 156$\mu \mathrm{m} / \mathrm{s}^{2}$ . How much
(a) time and (b) distance are required for the bacterium to reach a
speed of 12$\mu \mathrm{thousand} / \mathrm{s}$ ?
Nathan S.
Numerade Educator
Problem 52
Iwo cars drive on a straight highway. At fourth dimension $t=0,$ automobile 1 passes
mile marking 0 traveling due eastward with a speed of 20.0 $\mathrm{grand} / \mathrm{south} .$ At the
same time, automobile 2 is 1.0 km east of mile marking 0 traveling at 30.0 $\mathrm{m} / \mathrm{s}$
due west. Car i is speeding upwards with an acceleration of magnitude
$2.v \mathrm{m} / \mathrm{s}^{ii},$ and $\operatorname{motorcar} 2$ is slowing downwards with an dispatch of magazine-
nitude 3.2 $\mathrm{1000} / \mathrm{south}^{2}$ . (a) Write $10$ -versus-t equations of motion for both
cars, taking e as the positive direction. (b) At what time practise the
cars pass next to 1 another?
Nathan S.
Numerade Educator
Problem 53
A Meteorite Strikes On October $9,1992,$ a 27 -pound meteorite
struck a car in Peekskill, NY, leaving a dent 22 $\mathrm{cm}$ deep in the
trunk. If the meteorite struck the automobile with a speed of $130 \mathrm{1000} / \mathrm{south},$
what was the magnitude of its deceleration, assuming it to be
constant?
Nathan Due south.
Numerade Educator
Problem 54
$\because$ A rocket blasts off and moves straight upwardly from the launch
pad with abiding acceleration. Afterward ii.eight s the rocket is at a height
of 91 $\mathrm{k}$ . (a) What are the magnitude and direction of the rocket's
dispatch? (b) What is its speed at this time?
Nathan S.
Numerade Educator
Trouble 55
$. .$ Predict/Calculate You are driving through town at 12.0 $\mathrm{m} / \mathrm{southward}$
when suddenly a ball rolls out in front of you. Yous utilize the brakes
and brainstorm decelerating at three.v $\mathrm{m} / \mathrm{s}^{two}$ (a) How far practice you travel before
stopping? (b) When yous accept traveled only half the distance in
part (a), is your speed $6.0 \mathrm{m} / \mathrm{s},$ greater than $6.0 \mathrm{grand} / \mathrm{s},$ or less than
six.0 $\mathrm{yard} / \mathrm{s}$ (c) Find the speed of your automobile when yous accept traveled half
the distance in function (a).
Nathan Southward.
Numerade Educator
Trouble 56
$\cdots$ Predict/Summate Y'all are driving through town at xvi $\mathrm{m} / \mathrm{s}$
when suddenly a motorcar backs out of a driveway in front end of you. You
apply the brakes and begin decelerating at 3.2 $\mathrm{m} / \mathrm{s}^{2}$ . (a) How much
time does it take to stop? (b) Afterwards braking half the time found in
part (a), is your speed $8.0 \mathrm{m} / \mathrm{south},$ greater than $8.0 \mathrm{chiliad} / \mathrm{s},$ or less than
8.0 $\mathrm{m} / \mathrm{south} ?$ (c) Notice your speed afterwards braking half the time found in
function (a).
Nathan S.
Numerade Educator
Trouble 57
... B1o Predict/Summate A Tongue's Acceleration When a cha-
meleon captures an insect, its tongue can extend 16 $\mathrm{cm}$ in 0.ten $\mathrm{s}$ .
(a) Discover the magnitude of the tongue'due south acceleration, assuming
it to be constant. (b) In the outset 0.050 s, does the tongue extend
$viii.0 \mathrm{cm},$ more than viii.0 $\mathrm{cm}$ , or less than viii.0 $\mathrm{cm} ?(\mathrm{c})$ Notice the exten-
sion of the tongue in the offset 0.050 $\mathrm{south}$ .
Nathan S.
Numerade Educator
Problem 58
Surviving a Large Deceleration On July $13,1977,$ while on a
test drive at Uk's Silverstone racetrack, the throttle on David
Purley's car stuck broad open. The resulting crash subjected Purley
to the greatest $^{4} g-$ force" ever survived past a human-he decelerated
from 173 $\mathrm{km} / \mathrm{h}$ to zero in a distance of merely well-nigh 0.66 $\mathrm{m} .$ Calculate the magnitude of the acceleration experienced by Purley
(assuming it to be constant), and express your answer in units of
the acceleration of gravity, $g=9.81 \mathrm{m} / \mathrm{s}^{ii} .$
Nathan S.
Numerade Educator
Trouble 59
A boat is cruising in a straight line at a constant speed of 2.6 $\mathrm{m} / \mathrm{southward}$
when it is shifted into neutral. After coasting 12 $\mathrm{one thousand}$ the engine is
engaged once again, and the boat resumes cruising at the reduced con-
stant speed of i.6 $\mathrm{k} / \mathrm{s}$ . Bold constant acceleration while
coasting, (a) how much fourth dimension did it accept for the boat to coast the
12 $\mathrm{m}$ ? (b) What was the boat's acceleration while it was coasting?
(c) What was the speed of the boat when it had coasted for 6.0 $\mathrm{thousand}$ ?
Explain.
Nathan Due south.
Numerade Educator
Problem 60
A model rocket rises with abiding acceleration to a top of
$four.2 \mathrm{chiliad},$ at which point its speed is 26.0 $\mathrm{g} / \mathrm{south}$ . (a) How much time
does information technology take for the rocket to reach this summit? (b) What was the magnitude of the rocket'due south acceleration? (c) Detect the top and
speed of the rocket 0.10 s after launch.
Nathan S.
Numerade Educator
Problem 61
The infamous chicken is dashing toward habitation plate with
a speed of 5.7 $\mathrm{thou} / \mathrm{south}$ when he decides to hit the dirt. The chicken
slides for ane.2 $\mathrm{s}$ , just reaching the plate every bit he stops (rubber, of course).
(a) What are the magnitude and direction of the chicken's acceleration? (b) How far did the chicken slide?
Nathan S.
Numerade Educator
Trouble 62
A bicyclist is finishing his repair of a flat tire when a friend rides
by with a constant speed of 3.v $\mathrm{m} / \mathrm{s}$ . 2 seconds later the bicyclist
hops on his bike and accelerates at two.four $\mathrm{m} / \mathrm{due south}^{ii}$ until he catches his friend. (a) How much fourth dimension does it have until he catches his friend?
(b) How far has he traveled in this time? (c) What is his speed
when he catches up?
Nathan South.
Numerade Educator
Problem 63
A car in stop-and-go traffic starts at rest, moves forward 22 $\mathrm{min}$
$8.0 \mathrm{s},$ then comes to rest again. The velocity-versus-time plot for this car is given in Effigy $2-37 .$ What distance does the car cover in
(a) the first 4.0 seconds of its motion and (b) the terminal two.0 seconds
of its motion? (c) What is the abiding speed $V$ that characterizes
the middle portion of its motion?
Nathan Due south.
Numerade Educator
Problem 64
A automobile and a truck are heading directly toward one another on
a direct and narrow street, only they avoid a caput-on standoff
by simultaneously applying their brakes at $t=0 .$ The resulting velocity-versus-time graphs are shown in $\mathrm{HGURE} 2-38$ . What is the
separation betwixt the motorcar and the truck when they take come to
rest, given that at $t=0$ the car is at $10=fifteen \mathrm{m}$ and the truck is at
$x=-35 \mathrm{one thousand} ?($ Note that this data determines which line in
the graph corresponds to which vehicle.)
Nathan S.
Numerade Educator
Trouble 65
Suppose you utilize videos to analyze the motility of penguins
as they slide from balance down three dissimilar frictionless ramps
$(\mathrm{A}, \mathrm{B}, \mathrm{C})$ and into the h2o. The distances they travel and the
times elapsed are recorded in the post-obit table:
(a) Find the magnitude of the penguin's dispatch for each
ramp. Assume the acceleration is uniform. (b) Determine the
inclination angle $\theta$ above horizontal for each ramp, assuming that
the accelerations for office (a) are in shut agreement with the formula, $a=yard \sin \theta .$ (We will derive this formula in Chapter five.)
Nathan S.
Numerade Educator
Trouble 66
At the edge of a roof you throw ball ane upwardly with an initial speed $v_{0} ;$ a moment later you throw ball two downwards with the same initial speed. The balls land at the same time. Which of the
following statements is true for the instant just before the balls striking
the footing? A. The speed of brawl 1 is greater than the speed of ball two; B. The speed of ball 1 is equal to the speed of ball $2 ; \mathrm{C}$ . The speed of ball one is less than the speed of brawl 2.
Suzanne Due west.
Numerade Educator
Trouble 67
A cliff diver drops from residue to the water below. How many seconds does it take for the diver to get from 0 to 60; that is, to get from 0 mph to 60 mph? (For comparison, information technology takes almost 3.5 due south to four.0 s for
a powerful car to go from 0 to sixty.)
Donald A.
Numerade Educator
Problem 68
For a flourish at the cease of her act, a juggler tosses a single brawl
loftier in the air. She catches the ball 3.two s later at the same height
from which it was thrown. What was the initial upwards speed of
the ball?
Nathan S.
Numerade Educator
Trouble 69
Soaring Shaun During the 2014 Olympic games, snowboarder
Shaun White rose vi.iv k vertically higher up the rim of the half-pipe.
With what speed did he launch from the rim?
Nathan S.
Numerade Educator
Problem 70
Gulls are often observed dropping clams and other shellfish
from a height to the rocks below, equally a means of opening the shells.
If a seagull drops a shell from residual at a peak of 17 k, how fast is
the beat moving when it hits the rocks?
Nathan Due south.
Numerade Educator
Problem 71
A volcano launches a lava bomb straight upward with an initial
speed of 28 g>s. Taking upward to be the positive direction, find
the speed and direction of motion of the lava flop (a) 2.0 seconds and (b) 3.0 seconds later it is launched.
Nathan S.
Numerade Educator
Trouble 72
The starting time active volcano observed exterior the Earth was discovered in 1979 on lo, one of the moons of Jupiter. The volcano was observed to be ejecting material to a height of about $3.00 \times 10^{5} \mathrm{m} .$ Given that the acceleration of gravity on lo is $one.80 \mathrm{m} / \mathrm{southward}^{ii},$ find the initial velocity of the ejected material.
Nathan S.
Numerade Educator
Problem 73
Here'southward something you can try at abode-an experiment to measure your reaction fourth dimension. Have a
friend hold a ruler by one end, letting the other end hang downwardly
vertically. At the lower end, hold your thumb and index finger on either side of the ruler, ready to grip it. Have your friend release the ruler without alert. Catch it as quickly as y'all
tin can. If you catch the ruler five.2 $\mathrm{cm}$ from the lower end, what is
your reaction time?
Nathan S.
Numerade Educator
Trouble 74
A carpenter on the roof of a building accidentally drops her hammer. As the hammer falls it passes two windows of equal height, as shown in FlGURE $2-39$ . (a) Is the increase in speed of the hammer as it drops past window 1 greater than, less than, or equal to the increase in speed as it drops past window 2$?$ (b) Choose the best explanation from among the following:
\begin{equation}\begin{array}{fifty}{\text { I. The greater speed at window } two \text { results in a greater increase in }} \\ {\text { speed. }} \\ {\text { Ii. Constant acceleration means the hammer speeds upwardly the }} \\ {\text { same amount for each window. }} \\ {\text { II. The hammer spends more fourth dimension dropping past window one. }}\stop{assortment}\cease{equation}
Nathan Due south.
Numerade Educator
Trouble 75
FIGURE 2-twoscore shows a five-versus-t plot for the hammer dropped by the carpenter in Problem $74 .$ Observe that the times when the hammer passes the two windows are indicated by
shaded areas. (a) Is the area of the shaded region respective to window i greater than, less than, or equal to the area of the shaded region corresponding to window two$?$ (b) Cull the best explanation from among the post-obit:
\begin{equation}\begin{array}{l}{\text { I. The shaded area for window } 2 \text { is higher than the shaded area }} \\ {\text { for window ane. }} \\ {\text { II. The windows are as tall. }} \\ {\text { Iii. The shaded area for window } one \text { is wider than the shaded expanse }} \\ {\text { for window ii. }}\end{array}
\terminate{equation}
Nathan Due south.
Numerade Educator
Problem 76
A brawl is thrown straight upward with an initial speed $v_{0}$ . When it reaches the top of its flying at height $h,$ a 2d ball is thrown straight upward with the same initial speed. Practise the balls
cross paths at top $\frac{i}{2} h,$ to a higher place $\frac{1}{two} h,$ or beneath $\frac{1}{2} h$ ?
Nathan S.
Numerade Educator
Problem 77
On a hot summer twenty-four hour period in the land of Washington while kayaking, I saw several swimmers jump from a railroad bridge into the Snohomish River below. The swimmers stepped off the bridge, and I estimated that they hit the h2o 1.five s later. (a) How high was the bridge? (b) How fast were the swimmers moving when they hit the water? (c) What would the swimmers' drop time be if the bridge were twice as high?
Nathan South.
Numerade Educator
Problem 78
The Usa's highest fountain of water is
located, appropriately enough, in Fountain Hills, Arizona. The
fountain rises to a meridian of 560 ft (5 feet higher than the Washington Monument). (a) What is the initial speed of the water? (b) How much time does it take for water to reach the top of the fountain?
Nathan S.
Numerade Educator
Problem 79
Wrongly called for a foul, an angry basketball actor throws the
ball straight downward to the floor. If the ball bounces straight upwards and
returns to the floor 3.2 s after outset hitting information technology, what was the ball's
greatest pinnacle higher up the flooring?
Nathan S.
Numerade Educator
Problem fourscore
To gloat a victory, a bullpen throws her glove direct upward
with an initial speed of half dozen.5 m>s. (a) How much fourth dimension does it have for
the glove to return to the bullpen? (b) How much time does it take
for the glove to achieve its maximum height?
Nathan S.
Numerade Educator
Trouble 81
Standing at the edge of a cliff xxx.v m high,
you drop a ball. Later, you throw a 2d ball downwardly with an
initial speed of 11.ii g>s. (a) Which ball has the greater increase in
speed when it reaches the base of operations of the cliff, or do both balls speed
up by the same amount? (b) Verify your answer to function (a) with a
adding
Nathan S.
Numerade Educator
Problem 82
Y'all shoot an arrow into the air. 2 seconds subsequently $(2.00$ s) the arrow has gone straight up to a peak of 30.0 $\mathrm{m}$ above its
launch signal. (a) What was the pointer's initial speed? (b) How
much time did it take for the arrow to first reach a height of 15.0 $\mathrm{m}$
above its launch point?
Nathan Southward.
Numerade Educator
Trouble 83
While riding on an elevator descending with a constant speed of $3.0 \mathrm{m} / \mathrm{s},$ you accidentally drop a book from under your arm. (a) How much fourth dimension does information technology take for the volume to reach the elevator flooring, i.two $\mathrm{k}$ beneath your arm? (b) What is the book's speed relative to you when it hits the elevator flooring?
Nathan S.
Numerade Educator
Problem 84
A hot-air balloon is descending at a rate of two.3 $\mathrm{m} / \mathrm{s}$ when a rider drops a camera. If the camera is 41 $\mathrm{1000}$ above the ground when information technology is dropped, (a) how much time does it have for the camera to reach the ground, and (b) what is its velocity but before information technology lands? Let up be the positive direction for this problem.
Donald A.
Numerade Educator
Problem 85
A model rocket blasts off and moves upwards with an acceleration of 12 $\mathrm{m} / \mathrm{southward}^{2}$ until it reaches a height of $29 \mathrm{thou},$ at which betoken its
engine shuts off and it continues its flying in free autumn. (a) What is
the maximum height attained by the rocket? (b) What is the speed
of the rocket merely before information technology hits the footing? ( c) What is the full
duration of the rocket'due south flying?
Nathan South.
Numerade Educator
Problem 86
The southern flying squirrel (Glaucomys volans) tin can reduce its free-fall acceleration by extending a furry membrane called a patagium and gliding through the air. FlGuRE $2-41$ shows the vertical position-versus-time plot of one squirrel's flight. Use the information given in the plot to determine the acceleration of the squirrel. Assume that its initial height is $x_{0}=4.0 \mathrm{thou},$ its initial vertical speed is $v_{0}=0,$ and the elapsed time is $t=one.ten \mathrm{southward} .$
Nathan South.
Numerade Educator
Trouble 87
A young woman at a carnival steps upwardly to the "high striker," a popular exam of strength where the contestant hits one terminate of a lever with a mallet, propelling a minor metal plug upward toward a bong. She gives the mallet a mighty swing and sends the plug to the superlative of the striker, where it rings the bell. FlGURE $ii-42$ shows the corresponding position-versus-fourth dimension plot for the plug. Using the information given in the plot, answer the following questions: (a) What is the boilerplate speed of the plug during its upward journey? (b) By how much does the speed of the plug decrease during its upwards journeying? (c) What is the initial speed of the plug? (Assume the plug is in free fall during its up motion,
with no furnishings of air resistance or friction.)
Nathan S.
Numerade Educator
Trouble 88
While sitting on a tree branch 10.0 m to a higher place the footing, yous driblet
a anecdote. When the anecdote has fallen 2.5 yard, you throw a second
chestnut direct down. What initial speed must you lot give the second
anecdote if they are both to reach the ground at the same fourth dimension?
Keshav S.
Numerade Educator
Problem 89
An astronaut on the Moon drops a rockstraight downward from
a elevation of 1.25 $\mathrm{1000}$ . If the acceleration of gravity on the Moon is
$ane.62 \mathrm{thou} / \mathrm{southward}^{ii},$ what is the speed of the stone only earlier it lands?
Nathan S.
Numerade Educator
Problem 90
An elevator in the Taipei 101 skyscraper can start from residue and accelerate to a maximum speed of 16 $\mathrm{thousand} / \mathrm{s}$ with a constant acceleration of 1.one $\mathrm{thousand} / \mathrm{south}^{2} .$ Through what altitude does the elevator
move as it accelerates to its maximum speed?
Nathan S.
Numerade Educator
Trouble 91
Geologists have learned of periods in the past when the Strait of Gibraltar closed off, and the Mediterranean Body of water dried out and become a desert. Later, when the strait reopened,
a massive saltwater waterfall was created. According to geologists,
the waterin this waterfall was supersonic; that is, it fell with speeds in excess of the speed of sound. Ignoring air resistance, what is the minimum pinnacle necessary to create a supersonic waterfall? (The
speed of sound may be taken to be 340 $\mathrm{m} / \mathrm{southward.} )$
Nathan S.
Numerade Educator
Problem 92
A juggler throws a brawl directly up into the air. If the brawl returns
to its original position in the juggler's hand in 0.98 due south, what was its
maximum peak in a higher place the juggler'south mitt?
Nathan Due south.
Numerade Educator
Problem 93
At the edge of a roof you drop ball A from rest, and at the same instant your friend throws ball B upward from the ground with an initial velocity of $v_{0}$ sufficient to reach your position on
the roof. What are the signs (positive or negative) of the velocity
and the dispatch of each brawl at a signal halfway between the
ground and the roof? Assume upward is the positive direction.
Nathan Due south.
Numerade Educator
Problem 94
Two balls start their motility at the same time, with ball A dropped from balance and ball B thrown upward with an initial speed $v_{0} .$ Which of the v plots shown in Figure $2-43$ corresponds to (a) brawl A and (b) ball B?
Nathan S.
Numerade Educator
Problem 95
Refer to the position-versus-time plot in FIGURE $two-44$ for the following questions: (a) Is the average speed for the time interval between points 1 and 2 greater than, less than, or equal to the average speed for the time interval between points 1 and iii$?$ Explain. (b) Is the average velocity for the time interval between points 2 and iv greater than, less than, or equal to the average velocity forthe fourth dimension interval between points 3 and 4 ? Explain.
Nathan Southward.
Numerade Educator
Trouble 96
NASA operates a 2.ii -second drop tower at the Glenn Enquiry Center in Cleveland, Ohio. At this facility, experimental packages are dropped from the top of the tower, on the viii th floor
of the building. During their 2.two seconds of free fall, the packages experience a microgravity surroundings similar to that of a spacecraft in orbit. (a) What is the drop altitude of a $2.2-$ s tower?
(b) How fast are the packages traveling when they hit the air numberless at the bottom of the tower? (c) If an experimental bundle comes to rest over a distance of 0.75 $\mathrm{m}$ upon hit the air numberless, what is the average stopping dispatch?
Nathan Southward.
Numerade Educator
Problem 97
The velocity-versus-time graph for an object moving in a directly line is given in FlGURE $2-45 .$ (a) What is the acceleration of this object? (b) If this object is at $x=12.0 \mathrm{m}$ at fourth dimension $t=0,$ what is its position at $t=1.00 \mathrm{s} ?$ (c) Assuming the dispatch of the
object remains constant, what is its position at $t=5.00 \mathrm{s?}$
Nathan South.
Numerade Educator
Problem 98
At the 18th greenish of the U.Southward. Open up yous need to brand a 23.five-ft putt to win the tournament. When you hit the ball, giving it an initial speed of $1.54 \mathrm{m} / \mathrm{south},$ information technology stops half-dozen.00 $\mathrm{ft}$ short of the hole. (a) Assuming the deceleration caused past the grass is constant,
what should the initial speed take been to just brand the putt?
(b) What initial speed do you need to make the remaining 6.00. ft putt?
Nathan Southward.
Numerade Educator
Problem 99
A glaucous-winged gull, ascending direct upward at $five.20 \mathrm{g} / \mathrm{s},$ drops a shell when information technology is 12.5 $\mathrm{m}$ above the footing. (a) What are the magnitude and direction of the shell's acceleration just afterward it is released? (b) Find the maximum height above the ground reached past the beat. (c) How much time does it take for the shell to attain the footing? (d) What is the speed of the vanquish only before it hits the ground?
Nathan S.
Numerade Educator
Problem 100
A dr., preparing to give a patient an injection, squirts a small amount of liquid direct upwards from a syringe. If the liquid emerges with a speed of $1.five \mathrm{m} / \mathrm{s},$ (a) how much fourth dimension does information technology accept for it to return to the level of the syringe? (b) What is the
maximum acme of the liquid above the syringe?
Nathan S.
Numerade Educator
Trouble 101
A hot-air balloon has just lifted off and is rising at the abiding rate of 2.0 $\mathrm{grand} / \mathrm{s} .$ Of a sudden one of the passengers realizes she has
left her photographic camera on the ground. A friend picks it up and tosses it
straight up with an initial speed of xiii $\mathrm{m} / \mathrm{s}$ . If the passenger
is two.5 $\mathrm{one thousand}$ above her friend when the camera is tossed, how high is
she when the camera reaches her?
Nathan S.
Numerade Educator
Problem 102
Astronauts on a distant planet throw a rock straight upward and record its motion with a video camera. Afterward digitizing their video, they are able to produce the graph of height, $y$ ,versus time, $t,$ shown in FIGURE $2-46$ . (a) What is the acceleration of gravity on this planet? (b) What was the initial speed of the rock?
Suzanne W.
Numerade Educator
Trouble 103
Squids tin can move through the water using a grade of jet propulsion. Suppose a squid jets forward from
rest with abiding dispatch for 0.170 south, moving through a altitude of 0.179 $\mathrm{m} .$ The squid then turns off its jets and coasts to residuum with constant acceleration. The total time for this motion (from rest to residual) is $0.400 \mathrm{s},$ and the full altitude covered is 0.421 $\mathrm{m}$ .
What is the magnitude of the squid's acceleration during (a) the
time it is jetting and (b) the time it coasts to a finish?
Nathan South.
Numerade Educator
Problem 104
A brawl, dropped from residual, covers three-quarters of the distance to the ground in the terminal second of its autumn. (a) From what height was the brawl dropped? (b) What was the total time of fall?
Nathan S.
Numerade Educator
Problem 105
You drop a ski glove from a height $h$ onto fresh snow, and it sinks to a depth $d$ before coming to rest. (a) In terms of $chiliad$ and $h$ what is the speed of the glove when it reaches the snowfall? (b) What
are the magnitude and management of the glove's dispatch as it moves through the snow, assuming it to be constant? Give your respond in terms of $chiliad, h,$ and $d .$
Nathan South.
Numerade Educator
Problem 106
To find the height of an overhead power line, yous throw a ball straight upward. The brawl passes the line on the way upward after 0.75 s, and passes information technology once again on the way downward 1.five due south later it
was tossed. What are the height of the ability line and the initial speed of the ball?
Nathan S.
Numerade Educator
Problem 107
Sitting in a second-story apartment, a physicist notices a ball moving straight upward just exterior her window. The brawl is visible for 0.25 s as it moves a distance of 1.05 m from the lesser to
the elevation of the window.(a) How much time does it have earlier the ball reappears? (b) What is the greatest top of the ball above the top of the window?
Nathan S.
Numerade Educator
Trouble 108
How much fourth dimension did it accept for the lander to drop the concluding 4.30 $\mathrm{ft}$
to the Moon's surface?
\begin{equation}\begin{array}{ll}{\text { A. } 1.18 \mathrm{s}} & {\text { B. } i.37 \mathrm{southward}} \\ {\text { C. } ane.78 \mathrm{s}} & {\text { D. } two.36 \mathrm{s}}\end{array}\terminate{equation}
Nathan S.
Numerade Educator
Problem 109
What was the touch on speed of the lander when it touched
down? Requite your answer in feet per 2d (ft/s), the same units
used past the astronauts.
\brainstorm{equation}\brainstorm{array}{ll}{\text { A. } 2.41 \mathrm{ft} / \mathrm{s}} & {\text { B. } half dozen.78 \mathrm{ft} / \mathrm{s}} \\ {\text { C. } 9.95 \mathrm{ft} / \mathrm{due south}} & {\text { D. } 10.6 \mathrm{ft} / \mathrm{s}}\terminate{assortment}\terminate{equation}
Nathan S.
Numerade Educator
Problem 110
Which of the speed-versus-time plots in Effigy $ii-48$ (b) cor-
rectly represents the speed of the Apollo xv lander?
\begin{equation}A \quad B \quad C \quad D\end{equation}
Nathan S.
Numerade Educator
Problem 111
Suppose, instead of shutting off the engine, the astronauts
had increased its thrust, giving the lander a pocket-size, just constant,
up acceleration. Which speed-versus-time plot in Figure
$2-48$ (b) would depict this state of affairs?
\brainstorm{equation}A \quad B \quad C \quad D\end{equation}
Nathan S.
Numerade Educator
Problem 112
Referring to Example $2-17$ Suppose the speeder (red car) is traveling with a constant speed of $25 \mathrm{m} / \mathrm{s},$ and the maximum acceleration of the police car (blue car) is 3.8 $\mathrm{1000} / \mathrm{s}^{2}$ . If the constabulary auto is to commencement from rest and catch the speeder in 15 s or less, what is the maximum head-showtime distance the speeder can accept? Measure time from the moment the police force car starts.
Nathan Southward.
Numerade Educator
Problem 113
Referring to Instance $2-17$ The speeder passes the position of the constabulary motorcar with a constant speed of 15 $\mathrm{m} / \mathrm{s}$ . The police car immediately starts from residue and pursues the speeder with constant acceleration. What acceleration must the police force car have if information technology is
to catch the speeder in vii.0 $\mathrm{south} ?$ Measure time from the moment the police car starts.
Nathan Southward.
Numerade Educator
Problem 114
Predict/Calculate Referring to Example $2-21$ (a) In Example $2-21$ the bag of sand is released at 20.0 $\mathrm{m}$ and reaches a maximum acme of 22 $\mathrm{g}$ . If the pocketbook had been released at 30.0 $\mathrm{chiliad}$ instead, with everything else remaining the same, would its maximum height be $32 \mathrm{one thousand},$ greater than $32 \mathrm{chiliad},$ or less than 32 $\mathrm{m}$ ? (b) Find the speed of the pocketbook but earlier information technology lands when information technology is released from 30.0 $\mathrm{m} .$
Nathan Southward.
Numerade Educator
Problem 115
Referring to Case $2-21$ Suppose the airship is descending with a abiding speed of four.2 $\mathrm{one thousand} / \mathrm{s}$ when the pocketbook of sand comes loose at
a meridian of 35 $\mathrm{one thousand}$ . (a) What is the amount of fourth dimension the pocketbook is in the
air? (b) What is the speed of the bag when information technology is 15 $\mathrm{one thousand}$ higher up the
ground?
Nathan Southward.
Numerade Educator
Source: https://www.numerade.com/books/chapter/one-dimensional-kinematics/
Enregistrer un commentaire for "what should the initial speed have been to just make the putt?"