94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and object 2 m3naz4lqw j7.5il(hm; k-4 rcyubg 7bfalls freely for 8.0 secwbh qi-. m;3b lc74ujk4l7gnrmz5( ayonds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest ar5:anhect 1 k1nd uniformly accelerates to a final speed of 20.0 m/s inc1r ha5t1e k:n a time of 15.0 s. How far does the car travel during this time?

  94.03: A ball is throkzdmwsdb . 6t:r 006njwn off a high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial ve0rk. w msn0t:j6zd6 bdlocity of the ball?

  95.27: A rocket near thf* l;8rr es)jae surface of the earth is accelerating vertically upward at flrs *j;8)are $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body6tfhy-uk so pd;h/igxs9z +-8 is found to be moving downwards at 27 m/s at one instant. If it contin/ts-8kxhyh-6i9 +;foguzs p d ues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and a74ie :q9t cwj.hg gj,bccelerates at $0.80\;m/s^2$ for 10 s. It then continues at constant velocity. Twenty seconds (20 s) after it began to move, the car has:

  96.17: A ball which is dropped from the top of a building strikes the ground us6g7ja(rz7 fwith a speed of 30 m/s. Assume air resistance can be ignored. The height of the build6 77ragzus (jfing is approximately:

  97.09: At a certain time, an object in free fall has velocity 4.0 m/h;caj+/b: iw/0 x wjpzs in the upward direction. What is the approximate velocity of the object one sez/0j:wab+iwx cphj ;/cond later?

  98.14: How long must 56w c paqon.n/a $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is found to be moving downward at 18 m/ 2m/:nf)9kgol 3puhh ds. If it continueshk p:nglm29)3ofh/ ud to fall, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.0h3 c(bn 5,ms;m hcw9b j()d6i:jvvhzz0 s until reaching the ground. What was the height above the ground from which the object was rev cmc 3)(,vhsh:wjdn6 9jhi zzbm5b(;leased?

  11.06: A ball of mass =0.100 kg is launched strao6)5ld xvhic*ight upward so that it rises to a maximum height of 12.0 m above the launch poi6*c l)v xhod5int. Ignore air resistance. When the ball reaches its maximum height, which one of the following choices best represents the magnitude of the net force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.100 kg is launched straight upward so 6( m+ykujk5dek:by qo8),y f fthat it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how muchuk bdfy) fo y5(ke:y8j6k +,mq time does it take the ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclined plane has speed 0.40 m/s aus; umer:i2v:i6 7totwo seconds after it begin6v iuo;rteiu:: 7ms2 as to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from th-jgv:-2 vfdw gjb7up (e top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top 2dv-jwugbgv -fp(7: j of the tower 2.0 s later. Assume g is $10 \; m/s^2$. How far below the top of the tower does coin I pass coin II?

  02.04: If a ball is thrown directly upwards with twice the initial speed of w *des(4jpi;n another, how much higher will it be at ( ein;*jw4dps its apex?

  02.30: A box falls to the ground from a delivery tru0 58ohx;cfeoi7 tmi:q ck traveling at 30 m/s. After hitting the road, it slidesqhoxti 87 io0:m;fe c5 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s near t5l lvcb+tan b 728ep4vhe surface of the earth. After two seconds what would be the direc725a+ebn4 vcpvl8 l tbtion of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thr xxr+t+a (xshb4 pi,5zown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each zxr5 ,x sb4x ++pahit(stone. Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upward with identical linear m6oy +0qa4bisp l-sic 2omentum. Object 1 has mass M and reaches a maximum height H above the ipca - +q0lsi 26y4boslaunch point. If object 2 has mass 2M, what is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bounc1,zxvst1 ce ek (6la;7yrk /mbes on the ground as shown. After each bounce, the ball reaches one-half the height of the bounce before it. If the time the raxvmy6;7cltzk 1 e,( b1esk/ ball was in the air between the first and second bounce was 1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a p*ina .ho+ +ckc2 7hpsh )ep 9+ oa4h8fkngyl5projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initiala y cghoaps2he+hchonflkk+. ip 59+pn47 *8) angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collisioan8qmb*,r4 ted-/ u xun of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. Wit4d n* rutm8/ aq,e-bxuh what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing abouj hnbet3r tn,45m;,ab t the height of a parking garage. One student suggested that to determine the height of the garage, they simply had to drop tennis balls from the top3,jr ntmt behan;,54b and time the fall of the tennis balls. If the time for the ball to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving :k05yc 0 /e:p soqyqukalong a straight line. Its initial position is x0 = -5 meters an0:5ocykq usp e0yk:q/d it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down the plcwg*r+t;t e)-galq /m hy1 9xhane of the page) but is constrained to exactly follow each of the frictionless pathways shown. Rank these three paths from shortest to longest in terms of the amount of time (T) necessary for t*tx9c- qgt rmhy1+ehwal/g; )he object to be released from rest at point A and travel to point B. Assume that in changing direction that there is no loss of energy and that it takes negligible time.

  06.13: A rock is dropped from the top of a tall tower. Half a se6i)g cc-j+- .pbdmmntauod,9 cond later another rock, twicen,m.oa)tu +p g-dd9i j6cb m-c as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 mi8ns q+;10cwfc f ys,v.+b ciu/s along a track. The cart comes to rest after traveling 1 m. The8n;.fu0 y+sqvciwcs 1,c+ bfi experiment is repeated on the same track, but now the cart is initially moving at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initially movq - *ay;kayyxm+31 j:k c(;y5rennopo ing at 0.5 m/s along a track. The cart comes to rest after tra;yekp jk ryanoom + :a*x c51yy3-(nq;veling 1 m. The experiment is repeated on the same track, but now the cart is initially moving at 1 m/s. How far does the cart travel before coming to rest?

  08.03: A dog starts fromp v+w4z.x2xu e)dh qu* rest and runs in a straight line with a constant acceleration of 2h4)x xd*u2vzwe+u .qp$.5\;m/s^2$. How much time does it take for the dog to run a distance of $10\;m$?

  10.29: A ball initially at rest falls without air resistance from a height h abfbs/,ld zq;) cove the ground. If the ball falls the first fc l;,s/ bqzd)distance 0.5h in a time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At tbc iof: xp nd3-ds73zp.xdz+di)q: 1 sime t=0,the objects are at the same initial position.oc+ -xipi.q:ps )xdn7sdd 1: 3zdfzb 3 Object 1 has initial speed twice that of Object 2; Object 1 has one-half the acceleration of Object 2. After some time T, the velocity of the two objects is the same. What is the ratio of the distance traveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is thrown horizontally with speed ls (-a pf1 v0,9jzlhwt10.0 m/s from a height H above the ground. wz-vpl,1s jtafh0 9(lThe object reaches the ground with a speed of 20.0 m/s. Which one of the following choices best represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in free fall da:973w9yf0 :pdzxq 1lntqfv until it returns to ityl3xfw at:fvq7z99 n1 qdd:p0s initial launch point. Which one of the following graphs could represent the velocity of the object as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how many meters d- j(tfb;e kl6q fh02gyoes the object fall during the first 3.00 seconds yh6(ltk ;geqj ffb- 20of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surfacy od,tom7sz ti 8746on; ska7ie in a time of 12.0 s. What was the initial speed of the box when it startediz8ds n ,t i74oso67aktmoy;7 its slide?

  14.07: Starting from rest, a car.d 0y*r us, szqg2hmw6t uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distagd02, rz6ysu q* hwms.nce does the cart move in this time?

  14.16: A toy car initi fs f*rvkzw83; ls5p6bally moves to the right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The total displacement of the car during this time is 10.0 cm to the left of where it started. Which one of the following choices best represents the magnitude of the average velocity of the car during the *vs;l6sfpbw8 3k f z5rfive second motion?

  14.17: A toy car initiall48t9rfrdrki+r uiwz :nv4 le y6;h -f(y moves to the right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The total displacement of the car during this time is 10.0 cm to the left of where it started. Which one of the following choices best represents rkl;64re 4hznr9rfiuf idwtyv8 + -: (the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with constant acceleration starting wit va aqax0 qmu,r7 s 72v4)u2-f-ardyvkh velocity $v_0 = 5.00\;m/s$ and ending with a velocity of $v = -1.00\;m/s$ in a time of 3.00 s. For this motion, what is the average speed associated with the object?

  15.05: An object initially is moving upward while v ck;e2jq:fw ,ovp6ytmx3 r7-in free fall. Which one of the following choices best represents the di 3crptvvf ,762;ekmy-:ox wq jrection of the object’s acceleration during its flight?

  13.26: An object moving only to the right compm yu / jzwckg./68 kho*gy,:hrletes a 20.0 second trip in two stages, I and II. The average speed of the entire trip is 10.0 m/s. For stage I, the object moves with a constaokgh8/k/hz y,:mgw 6yj.rc*u nt velocity of 6.0 m/s for 12.0 seconds. What constant acceleration must the object have during the 8.0 seconds of stage II?

  15.32: An object moving along a linivvrl,/,bd / li0kxo:e completes a 20.0 second trip with an average speed of 10.0 m/s in two stages. During stage 1, the object moves with a constant velocity of 6.0 m/s to the right for 12.0o,:kl,// vdl xvi rb0i seconds. What constant magnitude acceleration directed to the left must the object have during the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from uot: 6z e:zqe/rest. A ball is launched straight downward with an initial speed of 36 m/s at a time 2.10 s after the rock was dropped. When the ball has fallen 28.0 m further than the initially dropped rock, what is the speed of the ball relative to the rotue/6 zqoe ::zck?

  16.36: On a straight road, a self-driv)uyli w;dg0o k i::rkt o+83fming car races with a robot. The robot accele i w:fi;gko3)0k rtl+8m yu:odrates at $8.50\;m/s^2$ until reaching its maximum constant speed of 15.0 m/s. The car accelerates at $5.60\;m/s^2$ until reaching its maximum constant speed of 25.0 m/s. The car and robot start from rest from the same location. What is the maximum distance that the robot leads the car during the race?

  17.44: A ball is launched verticpp0pn5*tqm f 0ally upward. The vertical position of the ball 0.70 s after release is the same as its vertical position 4.10 s after its release. At what time is the object first at a vertical position that is one-half of the maximum height it obtains during i0*np pf0qt p5mts flight?