94.01: Starting from rest, object 1 falls freely fo5zwyc*t h e 3j .2viuavbm*/u)r 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to o )jibcau3 z* 2m.*hvtywuve5/ bject 1, object 2 falls:

  94.02: A car starts from rest a5fag5d wifl7,nd uniformly accelerates to a final speed of 20.0 m/s in a time of f d5 ,l7ia5fgw15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with nor-dq x 5tax)(cd-/o sg horizontal velocity. It lands 6.0 s later with a velocity of 40 t/(sg-xo-cdad)5 qxr m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating v0va6f j+d xt;sertically upward at dj0xs t;fa6+ v$10\;m/s^2$. 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 m3 chbqr,5+ yegi59b+/ +appmbmq z+js /s at one instant. If it continues to fall, one second later the object would be moving wi yc53r+bq+ ,z /jb+eah+s m 59ppqgibmth a downward velocity closest to:

  95.39: A car starts from rest and accele(9fas cn36wq+:(b aw9up*hk*jrxob k6 a cw(grates 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 gryjnr5 199lotyound with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximately: 9yor5ln1t9yj

  97.09: At a certain time, s pm0 d)xt4+m7.qszvczaf6+ dan object in free fall has velocity 4.0 m/s in the upward direction. What is the approxifq.zdm s)++ a6msxvd0tz 74cpmate velocity of the object one second later?

  98.14: How long must a kf6tf yg2v+ q;3+mqo 2zgvd a7o;gxn9$2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely fallinbvvw; dlq+4- pg object is found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object would be moving dv wv+ ;qpb4l-with a speed of

  17.02: A small object is released from rest and falls freely for 4.00 s until rey)dv ::g dklt2aching t vldtk2d:: y)ghe ground. What was the height above the ground from which the object was released?

  11.06: A ball of masanl/+s3o 0op ls =0.100 kg is launched straight upward so that it rises to a maximum height of 12.0 m onp soll3+/0a 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 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 that i-hxxl3 2pjg5 bt rises to a maximum height of 12.0xg2hjl- 3pxb5 m above 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 speed0g-nl/skwvtlbo83 6wd ba5.e 0.40 m/s two seconds after it begins to slide. Approximatelwlbg a vsoeldwn5t k8b3 /.6-0y how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the to6n6qf v odxilv0 m:46dp of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the tq :v66d6fl0x ndvi4omop 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 throw8t2* jxbsw13 b vjm6 wguc07fwn directly upwards with twice the initial speed of another, hb0xwbj gw*3 1wcts7m uj 2vf68ow much higher will it be at its apex?

  02.30: A box falls to the ground from a delibuoy9: pm05v1* urr uea7s6wmvery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box tmrr* o bm17peyv:u65aus wu 09o come to rest?

  03.29: An object is thrown upwards with a vel2lm1dckgq7 dx8d e t9/qh6 iy:ocity of 30 m/s near the surface of the earth. After two seconds what woul/lmthek:ddigd x2 7yq189qc6 d be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown verticall -ax3;3i jgdyb2guw4e52hnnky upward with different velocities (1v, 2v& 3v respectively). Tnu i b5ay2e;d4hkn3-23 jxw gghe 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 objectscbm cx2 k9; no3mt(*qh are launched straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch poinmnb h t(9qo2cckx *;3mt. 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 bouks;-1ue 51dssoa 1kv ds:b 8ek0e4dzynce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the air betu48zdkosde151v:b s-es1;d ka k yse0 ween 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 projectile in free fall achieved itszk, zt38v9)v6hmk2 mo rkv/ vt minimum speed during flight. If that minimum speed was 15.0 m/s, what was the prz) tk2vm o kh/z9ktv8 vr,v63mojectile’s initial angle of launch from the horizontal?

  05.02: A pebble is droppelr+u 0+gnj l4md from a high vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resis rl 4jug++0nlmtance.

  06.03: Three students were arguing about the heighp-4ae3jq.8c vlzz4o- dbp e3 :wymiq. t 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 to fall was 1.4 sec338l dypz-i - :b4ov.ajzeqpq 4emwc. onds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initial position is xa2u(oq ;a cn,n0 = -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 accelerata;q 2(a n,counion, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down the plane z/by:ad0y 4 ymof the page) but is constrained to exactly follow each of the frictionless pathways shown.m4ayy bd:z/0 y 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 second later anoc(grc0m0 k*a0v**c 0;/(bthchzaib- f m lzxxther rock,hh(; vt0r*bfl0/cz cz- cxa(ba mxg0 k0m*ic* twice as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. .9hl eg:n d;ye *yq6auThe cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but n ;ya6 q e:hl9gue*ydn.ow 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 movr t(epb3ckqe.1 5 kt9king at 0.5 m/s along a track. 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 coming tob kk.t3e kq1p re5tc(9 rest?

  08.03: A dog starts from rest and runs in a straight line zpaowqs9 t/3 -with a constant accelera3s qt9ow/z-ap 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 a4dl46nx d1 gy.* p9i(v-rmkihuafbr4 ir resistance from a height h above the ground. If the ball falls the firng4p mhblky a ifv(19 .d*6du4-rir4x st 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 accell,o 9g6 ;oa25 bhi 0-4mjpyeezf/ly +p/u naywerate to the right. At time t=0,the objects ary-wph6a+ a// y np,ij2uo4g9b ezl l5f;yoem0e at the same initial position. 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 sh 3 5eyc0 axiujw63i5npeed 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 be5eihauyni jwc 033 5x6st represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown str/dqome bj-kz3a0b7o6 h(ke 9on.xw2 raight upward. The object remains in free fall until it returns to its initial launch point. Which-woe rmz6(n o7.a/eh03x2d9kqbkjb o 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 ilx u)hm8 9,-qf 4dqhffnto free fall. Through how many meters does the object fall , ulf ffdhh9x-8)4mqqduring the first 3.00 seconds of flight?

  15.02: A box uniformly ff*1 v g wgqqrr3 bs.*+g-hln),6ur uyslides 7.50 m to rest across a flat surface in a time of 12.0 s. What was the ing+w6 * v grfghr-3.*s1lbn,ufruqqy)itial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a spew(5 ikcrkblxr 1d:)e a otd -j35a68rhed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move in this tt bdcdia or-:elrh 31 (6rx5wa)58kkjime?

  14.16: A toy car inixpv r (bpk+r+5j zdz)8tially 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 of5(+ rjp +kdp)v xr8zbz the following choices best represents the magnitude of the average velocity of the car during the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cu/qds5 7hw ;ulm/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 starteud;h/s5 7lqw ud. 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 consta 7,ckl efpf2x*nt 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 free fall02 c+fnveo+v v7 9 y0sr*kgf)u ojf7*0 voytue. Which one of the following choices best represents the direction of the object’s acceleration du*f7) 07ugey+c9fys v 2ontu0verj vofk0 *vo+ring its flight?

  13.26: An object moving on7eck5zviy/. hly 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 object moves with a constant velocity of 6.0 m/s for 12.0 seconds. What constant acceleration must the object have during the z yh/ cv5ek.i78.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 secondt*oyxb7ot-:ui-b 7ll 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 r-b77 ylx-i tl:obuot* ight 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, as9)si3xlp k bww*rk(9*(zvic: c ;b ht 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 28.0 m further than the initially dropped rock, what is the speed of the ball relative to th9(wc;wxistvl9*s*3 hb zrpik)(:kb ce rock?

  16.36: On a straight road, a self-driving car races with a robot. The2xlhqkz s 8 4oosvt :sxh zw6wq,063y8 robot accelh kqxohot3sq08 :l66,4vw2z wyz8 s sxerates 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 laun2**c fw5,jt hqqs8lbfched vertically 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 tim2fscf jw*hb*tq8 ,lq5 e is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?