94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and obzo08)ejba xp, m3v/ewject 2 falls freely for 8.0 seconds. Compmzbea 0v w ,3)pe/xj8oared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speeuyv bfmukd +px)6ep6u. s)w;cm k+89 wd of 20.0 m/s in a time of 15.0 s. How far does the car travel during this +);suv bykdx m9w+kem 6 u8c p6p.)fuwtime?

  94.03: A ball is thrown off a high cliff with no horizontal f8v q1 -0d9ktmv9h/e6 wbdt3)p ujx icvelocity. It lands 6.0 s later with a velocity o9e9d txpuiv kv/-6qwd 08tjb)h1m3 fcf 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the su/;df :f /ax-* ijcme7 fijx+mgrface of the earth is accelerating vertically upward at m ix:/ j* x;+/g -fajfe7mcfdi$10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling botvo5qh81 7nnvkiz 99 vdy is found to be moving downwards at 27 m/s at one instant. If it continues to fall, one secovnzi 9to7h kvq n958v1nd later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and acceler3vo0 aq:v f71twdi( arates 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 4m31zm* n 3w7kke0ssfk tr7tmstrikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximsnwkk tsm37f k70*3 ztrmme41ately:

  97.09: At a certain tib5xy:4,kr+szb o 0zscme, an object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one second laterxz,bkbr c0yszos +54 :?

  98.14: How long must qm (;c ymf-m)tcugo9i 6kz;4xa $2.5\;m/s^2$ 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/s. ;(wjkk8h3dk3wlb5p bIf it continues to fall,; wbhpkk5 lkb (j3d8w3 two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely g,iadiq9 qu,ecf(j9 cd)/a-7 dpfv,d for 4.00 s until reaching the ground. What was the height above the ground from wq/a qciu d)cpvd9d 7af9( ,,gf,iej- dhich the object was released?

  11.06: A ball of mass =0.100 kg w ( mkto)ow /+8ks7bjv4yed o+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 the magnitude of the net force (kb4tjd/so8 m+wowve)y 7o+ kacting 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 that it rbr +uvt 3(2xolk0d8nyises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does it take the bavk2n(ry x bdu8o l30+tll to reach the maximum height from its launch?

  98.31: An object sliding down an inclined plane has speed 0.40 q54f p(q eki(om/s two seconds after it begins to slide. Approximate45ifp( q(kqeo ly how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of u jxv:0:dh jtmw( 6hm:a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial vm:wx:hd hum 0 (6j:tjspeed) 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 twice the ini ri-d,lenqt /*2py;kbtial speed of another, how much higher will it be a-ibetrq d*n,/ ylkp 2;t its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 o)cba,q 4k ig-m/s. After hitting the road, it slides 45 meters to rest. Ho)-b4 k aqo,icgw long does it take the box to come to rest?

  03.29: An object is thrown0vv: g8ps ,/ko/ oqwkl upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be thso /:gw /0kokp, vvq8le direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass jt;+ttp ) xz)ikdpp.,(1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diaktd j,zipt) p.;) px+tgram 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 straighpd5)7toa2c udb. - qp,1qtlqht upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch poinoc. q7,p5bqtqa-d 1pht)lu2dt. 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 zg2 :6 s,m+mjvr ypeu/as shown. After each bounce, 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 bounce 62jvr:y mmp, /u+gzes 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 f e 3a +:nq/piwldet7dyt//(jfall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was (ewy jea/i/ f7d l+:3tqn /dptthe projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The colahl+u6mhynbp 7(:f *tov h-5plision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With whmpb6vhp( flth-a: +*57huo nyat speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a t:cp+ s)v5xdr k4baj5 parking garage. One student suggested that to determine the height of thedrp bajs4tv:5k)c+x5 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 to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving al7eaa7 s-ifp 7aong a straight line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acce 7- paa7asfi7eleration, respectively, are

  04.38: A small point-like object is pulled downwards bylo4+:w-u b g1c5dkkl1f ru;egjs6(hx gravity (down the plane of the paghrg-:kj51xew uu+ (slgo1dk;clb4f 6 e) 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 loss of energy and that it takes negligible time.

  06.13: A rock is dropped from the top of a tall tower. Half a secon g n2k8ky((a4*dvsvxj3hd e t2d later another rock, twice as massie8*t4ndvk 3h jads x(vk2(g2y ve as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a tv nvq 7u +byco5kq48(vrack. The cart comes 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 far does the cart travel before cominu8(cn4y 7 5oqvvb vqk+g to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. The cart comes to re kizm3u48fz x9st after traveling 1 m. The experiment zku48ix fzm39 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 a straight line a6d /rk cr.7lkwith a constant accelerarl/a7d kr6 kc.tion of 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 air resistaof/jz cje:r7f h1tt8 :ua f1l1nce from a height h above the ground. If the ball falls the first distance 0.zat /1fj uht j:f8fe7:oc1 1lr5h in a time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move an:lpo :w n+c)ta9hgsa ;rmz0,md uniformly accelerate to the right. At time t=0,the objects are at the same initial position. Object 1 has initial speed twice mpa0lgw;+m n:9sz c a:th)o ,rthat 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 w2 3d5z7 oyj3enc4bngbh g8g+thrown horizontally with speed 10.0 m/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 the time of the object’s flight to the ground? Ignore yo3g bn873b4+ zhejwgcng25dair resistance.

  13.10: An object is thrown straight upward. The object remains in free falpgrm sv:6 )mrw;gcu4 t;*4 ojcl 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 time during it;gvrw m:c4 j) *t6 us4;rgmcops flight?

  14.03: An object is dropped into free fall. Through how many meters does the o11t: ewwyv/o y9uyq q.bjec:q9tyy1v eyqo/u w.w1 t fall during the first 3.00 seconds of flight?

  15.02: A box uniformly sli/-gfz7v p7,qwq9mha xdes 7.50 m to rest across a flat surface in a time of 12.0 s. Whw f79/p7z ,vhqgam -qxat was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart un82o01ojjahbe8wzyoog7nm( 6 iformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Throug0(z8b no2jo7o w emgoj16ay8hh what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 61./pzy- c5jf0f jwtnj*7e imdb1c l;i0.0 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 average5nw7 0df-cj / pmf* zb11iij ;ecy.ljt velocity of the car during the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. Five secondxif-)i w gss;-u9 ye0h9.ds vfs later, the car is moving at 40.0 cm/s to the left. The total displacement of the car du v-0 fu9sdfyhi.igs; xw9)e-s ring 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 with constant acceleration lbp+e9c b ddd27vye,m7ujw ( n14cx6y 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 isg )yykx5smk(qx8 y18ldyf7l1 moving upward while in free fall. Which one of the following choices best represents the dyy(slx7mg )1fx8 lyqk8d15yk irection of the object’s acceleration during its flight?

  13.26: An object moving oti2a( zf)fq2rnb537wzn( k nonly to the right completes 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 objec72b tkq3( 5n)(nrfif2z wzanot moves with a constant 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 line completes a 20.0 second tripdua8 mqygdu3)v- :s o) with an average speed of 10.0q 3 )y8)msov:-udagud m/s in two stages. During stage 1, the object moves with a constant velocity of 6.0 m/s to the right for 12.0 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 ofk4ry x+y6c 0txv2w.rb a high cliff, a small rock is dropped from 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 .rr byt4y6v+xc2 wxk0 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, a self-driving car )lked4e d-xn)races with a robot. The robot accelerates ae4 xl)-end) kdt $8.50\;m/s^2$ 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 vertical position 8;xllhi, ,ft c w*yxb(of the ball 0.70 s after release is the same as its vertical position 4.10 s after its r,8ytillcxx, b w fh;*(elease. At what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?