94.01: Starting from rest, object 1 falls free7ba 5(s bbn s8mdruq g:2c5;hnly for 4.0 seconds, and object 2 falls freely for 8.0 rns7gb25:5hq( n msu;bbacd8 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformtk8k8jdar /o,8-a-c 3 s cfmzupn t3g-ly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does thetft8k- ku8m ,pc/aga83-n djcz3o- sr car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velxoezls.7a 9k ;lhm:.t 9 cx.ehocity. It lands 6.0em l :c9sh;ea.h. xk7lo.9x tz s later with a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically /7 zy,u 5gmlplupward at 5my, ul /7glzp$10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is found to be moving downwards at 27 mv7u1 8 xrz0wwp5zrj;z/s at one instant. If it continues to fall, one second later the object would be mov 8ww;zrr pjz u50xz7v1ing with a downward velocity closest to:

  95.39: A car starts from rest and accelerates at yh/:hf1(a yugiu1)z (r,e rye$0.80\;m/s^2$ 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 wni-j(2 oh-lrof a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the bur ojhil2 w--(nilding is approximately:

  97.09: At a certain time,l1: du4yum l2uexnt++n59 app an object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velociutuu2p4edx5 a y :9lp+nnm +l1ty of the object one second later?

  98.14: How long must6;2uut p /chzwrh 8,ud 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 objen qohtnf. ge4t3v) )v+ct is found to be moving downward at 18 m/s. If it continues to fagev3hvt ).)tfq4 o+nn ll, 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 e7x8bsl +/bm p4.00 s until reaching the ground. What was the height m+lb bs ex7p/8above the ground from which the object was released?

  11.06: A ball of mass (fy+bj4,siczv7eymzp3- e p3=0.100 kg is launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. When the ball reaches its maximum height, which one of the following choices best represents ce-+biyp3m s 4ey,vf(zj7 p3zthe 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 laq 5vy).0amr utunched straight upward so that it rises to a maximum height of 12.0 m ar5yv.m u0) aqtbove the launch point. Ignore air resistance. Approximately how much 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 two secondsg,qhyd92 g,45vl .qa8rud oap after it begins tvo ,8 dyqp9q5ag arl, h4u.g2do slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upw nsm6zf63 h yrztkvc*/y s68d5ard from the top of a 100-m tower with a speed of 15 m/s. Coin II is droppes*ch 6s5 z6f386yvmrdtn kz/ yd (zero initial speed) from the top 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 td ow 2x-hvmx63n pd25cwice the initial speed of another, how much higher will it be at its apex? dpox22-h6v5mn 3cwx d

  02.30: A box falls to theou gy,i (gar85 ground from a delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to yi5gog8u (a ,rcome to rest?

  03.29: An object is thrown upwards with a v b(,+4qmz rtnlelocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity and acceleratiot +r(mlbzq,4n n?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown v jh7umevw9co6 +mec;pzw )a28 ertically upward with different velocities (1v, 2v& 3v respez;7)+ wou evpc6h mjw9ec28 amctively). The diagram indicates the mass and velocity of each 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 lineacggh 1 :fno3e1hz7oh3r momentum. Object 1 has mass M and reaches :o313 hzn 7hgg eoc1fha maximum height H above the launch 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 bounces on the ground as shown. After each bounce,y2lq mdrff*,g7 /t.ax the ball reaches one-half the height of the bounce before it. If the time the ball was in the air between the first and second bounfx2,y/* daqr.fgl t7mce was 1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achieved its minimum *hay71o+ t) cu,wpfge speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initia1 )ef,7p+t g *acuwyohl angle of launch from the horizontal?

  05.02: A pebble is dropped from a hig+hyt *068rtrl +il) fmnn o8+3pt ji xzntk8t(h vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after t +*tmt)z +0r ilnp8k+tl8tt6xyh3n8(f rionj he pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about t6.sgl y/ srf-yl(d q60/ apmt;myrd4mhe 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 top and time the fall of the tennis balls. If the time for the ball t 4s(qm gsaym/yly rpl0rd./ -m6ft; d6o fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. n*r xkf 37x/ ztune ,;4xf.ejtIts initial position is x0 = -5 meters and it is moving away from the origin and slowing euke37jfx*,/trx t n z.fx4n ;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 byl5b,8 fqv9os 2e- o/lgub*dgw gravity (down the plane 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 the object to be released from rest at point A and travel to point B. Assume that in changing direction that there is no los5 ,d/2ugvo sll9 g8w*- qbefobs of energy and that it takes negligible time.

  06.13: A rock is dropped from the top j d(+qw9e e sod+1/m ulzrx1q6of a tall tower. Half a second later another rock, twice as mae +o9/uwdr1lq+ s(xq zd1j6messive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart z-8ffrqh7awlvb ; c7.5 r8npzcomes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially moving at 1 m/s. How fnb qr7f8- 8azpclh7rvw;zf 5. ar does the cart travel before coming to rest?

  07.11: A cart is initially moving aa:7gx *-nft:jk6p n + thbkh8jt 0.5 m/s along a track. The cart comes to rest after 8t:+pk6:-*7bjhxnknf h gjattraveling 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 from rest and runs in xk bm9j/j4;eyu- 9nzs a straight line with a constant acceleration ofy4k zbu-/sj;nxj m99e 2$.5\;m/s^2$. 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 ah.fwp/p cls-g)h 45 pkir resistance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much w4f .skp5 cglp/ )hph-time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the righ11 j+p aqufi)iama c34f4n k8rt. At time t=0,the objects are at the same initial position. Object 1 has initial speed twice that of Object 2; Object 1 h+k1ifa4u4 r a)j1ni q 3afpc8mas 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 10.0 v tri**4:sahq-vjpt ( bxr+v428kkdbm/s from a height H above the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of the following choices best represents b -+qi t4*2x:v b4arpjvdkr(v ksth8*the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thr2 mfvtijc8 go b:n)(a np6g(,lown straight upward. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object as a function of tim jfpgil(, 2(tangm ob6 )v8c:ne during its flight?

  14.03: An object is dropped into free il*(/nq(m4oiat4 yih fall. Through how many meters does the object fall during the 4ym l4ih((oit ia/qn *first 3.00 seconds of flight?

  15.02: A box uniformly slidcl d)tg e0ry5z5z a/v-es 7.50 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of the box when it starte/)d-50 zyvzglrc ea 5td its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of hd r7j1gfi/f 67.60 m/s in a time of 3.00 s. Through what distanjr /6 if1fghd7ce does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five seconds later,clf lvrfev 1u(,r)i2;7h f,-fx oj0hq 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 thlxchv fi-l(;h7ffr,ojeqv u1 2)0r, fe five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. Five seconds lat 91h6fm k0xt-f:uuja -mrxjc 9er, the car is moving at 40.0 cm/s to the left. 99h60xuu:jk m1crt mxfa j--fThe 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 acceleration of the car during the five second motion?

  14.33: An object moves ten k(zs4x ,a+with constant acceleration starting with 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 in fv(v7xhe:s spwy )m fs-r6do)0ree fall. Which one of the following choices best represents the direction of the object’s acceleraps)rs7(f0mxd:veoh6)v-ys wtion during its flight?

  13.26: An object moving only to the right completes a 20.0 second trip in twqyj yfa )5cm6ih15e8vr* htfz2p1 z.co stages, I and II. The average speed of the entire trip is 10.0 m/s. For stage I, the object moves with a constant velocity of 6.0 m/s for 12.0 seconds. What constant acceleration must the object have durih tqy 2i mc f* 865z5yf1ej)achpz1.rvng the 8.0 seconds of stage II?

  15.32: An object moving along a g xu7qksvs1j, f an)0-line 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 rgv u10k, jq7s-fsxa)night for 12.0 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 sm z;3 zfzui4br)all rock is dropped from rest. A ball is launched straight downward with an initial spi;zbz)f z4ru3eed 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 rock?

  16.36: On a straight road, .i/9rkkwod vo*mas.k;l8,i q a self-driving car races with a robot. The robot accelerates atriksd li8./oa kmk.,owqv ;9 * $8.50\;m/s^2$ 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 vertically upward. The verticalc;:q hkqvs2 *x 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 ih*vqq; x :ksc2s the object first at a vertical position that is one-half of the maximum height it obtains during its flight?