94.01: Starting from rest, object 1 falls freely re0b74c 1bt.rylh 4p k7 fclv6for 4.0 seconds, and object 2 falls fre re44p b h0fkcr7b.lc y7t1v6lely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from restn*kg/x lgc9zcdk8yv5hj,s q;8 jt 42z and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during this t2xzdgtg,*h nvlsc yzk/jj8c594; k8qime?

  94.03: A ball is thrown off a high clifforvgf1e(co7s2+ kg 4gl(j2v p with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was tojpg e72v(sfk 4l(1 og2c+rg vhe initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vert6sdpik 8r1q2mv((q oxically upward 6qrs8omdx p2k 1 v(qi(at $10\;m/s^2$. 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 m/s at o(kpsvs *-d qp7*woz-hne instant. If it continue(- *p qvowd-7s*pzsh ks to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accelerdzy sfg1i 2o)a e,q,d:ates 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 d 9j-dq1b5lwpbuilding strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is a wd9plbq5j-1 dpproximately:

  97.09: At a certain time, an object in free fall i rmeubckwh+ :4j9gekr6)i l 87c3)gfhas velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one s)w+kig):cgb4ih79 rlc k8fj6m3 eeurecond later?

  98.14: How long must a z9dw1x)t ytow:7yq rg-nzz/y--4uky $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely fallin r/3undtv; vv1tua5 l2g object is found to be moving downward at 18 m/s. If it continues to fall, two seconds later r2utv;1 /d3vt 5ualnvthe object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4vx.3kuiw . (ie.00 s until reaching the ground. What was the height above the g .3iuw i.vx(ekround from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward 8r1 vt kti2i3lso 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 bestt1irk 28 t3ilv 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 stu) 1:-q cm.e*ady elxbraight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does it take the ball to reach the maximum-.qeb)alxcd y *1:emu height from its launch?

  98.31: An object sliding down an inclined planehfo/)jpr0tal d1e 1f4k )wk+g has speed 0.40 m/s two seconds after it betfd)4ajgeo1+fr0p w/l1k kh)gins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is throwntq-,f ng x/*af2j8xk n upward from the top of a 100-m tower with a speed of 15 m/s. Coin II *2 gj n tqxk/ff8,x-nais dropped (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 twice the initial speed of anotm:p+bv b 2iw(hher, how much higher will it be at its awmh: bvpi +2b(pex?

  02.30: A box falls to t fvj4;p8m6k vfhe ground from a delivery truck traveling at 30 m/s. After hitting th4p;v8fm k jf6ve road, it slides 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/09m s oj0df 1akwh/,rfs near the surface of the earth. After two seconds what would be the direction of the displac1/ 0f afs9,wd0hjkro mement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown verti5mnow9i,q 5y*xm/qf tcally upward with different velocities (1v, 2v& 3v respectively). The diagram indicq5w5t,m/xoq *y9 i nmfates 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 wih du(t67etvcb7u x6ibaz .1y.th identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. Ix.(7t1 au 6z 7ui tevhbb.yc6df 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. akk8x1f x,2znAfter each bounce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the aix2k fxkn1za8, r 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 projectile in fk*j9r n+rmjk 2ree fall achieved its minimum speed during flim r* kj2j+9knrght. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. Th thd2 +2xgfxrxh +x7d)e collision of the pebble with t +2x rxhtxfd2hg+7d)xhe ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguinmb80)eb0+ka; gnu : dr 1butumg about 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 top and bbuu+;b)n1r0mut gk0 m:d8aetime 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 along fjct ujnac .e pd3hz(h (e 4sp8/-8s)ra 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 accelerationdj88fuh .pne(ze 4 s-(htp) cs3 /jcra, respectively, are

  04.38: A small point-like object is pulled d7g2a kp4;u. a3 5nn+qvri t j0ie*igigownwards by 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 q5e.0k7vnna4+i i;iguit3ar2jg *gp 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 la.4elspad(m k 5f)py+ug4 fkd 7ter another rock, twice as massive as a5ulp4 k 7).yed( g4d sp+kmffthe first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comes top up-3y)dop2 w rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially moving at 1 m/s. Hpwd )po-y2pu3ow far does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s a53d -a(;hhi, dxhj ttllong 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(hj3x;dt-ha, ldht 5i 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 1-xt j0e5bi:lm 1uuwnstraight line with a constant acceleration o:le jnb 51wx1ui -m0tuf 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 resistance zj yp z en;0r c/:yldr/k(9os8from a height h above the ground. If the b(zzrl/sp /8nrj 0co:ye y;d9kall falls the first 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 acce38jlo2qt qy7 alerate to the right. At time t=0,the objects are 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 yqq83 jol7a t2to that traveled by Object 1?

  12.26: An object is thrown hori-gxr *c5jjklvwf/ /h74rn m4 bzontally 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? Inc* /kxj4mvlb47f r/ -grjw h5gnore air resistance.

  13.10: An object is thrown straight upwavg0398( c5w ygj2 e7zh7ja h gvwrtam(rd. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs cohh3g (c5 j7egavtwvw2m gra7(8j9zy0uld 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 does the o.e( ra3zwqu9-dw(xt q bject fall during the firaq t9-.qwudxr 3z((ewst 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a fognd 63 u/a6vjlzx **bl :b4ttime of 12.0 s. What was the l/bn4*u:ajx3zod 6* tfg lv6binitial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniform il) gx1 4q2wd1vhqkw7ly accelerates to a speed of 7.60 m/s in a time of1v2gqkx )qw hldw4 i17 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five secondsdmv-,ye* 2 v qyc9dfl(xeprm:: .ewi. 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. Whiv.9.m*vyrdq:,e-w xy lim:2c eefd(p ch one of 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 a 3myqab6r)uzmt;+)opsbwo* r t;p: b0t 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 followiqp r)a 6 3b :;t+wtz)uob ;0mpyo*srbmng 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 starting wi91kjybkf bj,0fvn . au:q/+kg th 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 upwardpqf q;sg:3l-(ma:i sf while in free fall. Which one of the following choices best represents the direction of the object’s acceleration during its flighf 3;mqsiaf( g-lqp:s :t?

  13.26: An object moving only to the right complef ;72w4mcgetluw6hrxck -; ebr7g 3o,tes 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 secondsgo6kc7hxfc3g2e ;m;lw rb-7e,t4rwu . What constant acceleration must the object have during the 8.0 seconds of stage II?

  15.32: An object moving along a line cet79 *pbia*b5rc6i w wompletes a 20.0 second trip with an average speed of 10.0 m/s in two stages. Duringct56rb*p a eii*w9wb 7 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 of a high cliff, a small rock is dropped fo, r dxc2kvra-c7h.x. rom 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 fa.odcrva.r7kxx h-c, 2 llen 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 races with a robot. The rob81*o/. m xyix7ecjv4u6wqpjl:/d ivsot accelerates :mdv 4xqvux co6p*1i.l7wy/j/se ij 8at $8.50\;m/s^2$ 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 u k*y5 obck me--2fodn+pward. 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 posi2o c--ko fdn*k5 +ymbetion that is one-half of the maximum height it obtains during its flight?