94.01: Starting from re9lldu1w+ i5o) dv t5 w,vgpv,hst, object 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 secondstgp vw9,l,o5vd hv + ldiw5u1). Compared to object 1, object 2 falls:

  94.02: A car starts from rgi;ybr+5pi nk,+eycm4d 7 l9x est 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 rik7p,4n9e gy+i d;+5c byxlm time?

  94.03: A ball is thrown off a high cliff with no horizontal velwh s30gex5e1 zocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity owz3 ghse 5e01xf the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically u)bw;ns82edk* ,:xj wp)ews qv pward atsw:qe) be8j2 n)wpwsd v,*kx ; $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is found 2j)pxj d25tyoto be moving downwards at 27 m/s at one instant. If it contin y22oj5x j)dtpues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts fa7-,vp1 mm xqrv4i rx:rom rest and accelerates 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 buh q9wz+r8 mw)in76g lxilding strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximl8n7+ hm)wi9wz xgr 6qately:

  97.09: At a certain time, an object in free fall has mr jrekb,qmj z*3wd y4tb94n qgq974, velocity 4.0 m/s in the upward direction. What is the approxj 7rnrz943b4g ,wdb*m9e4tm,kq yqq jimate velocity of the object one second later?

  98.14: How long must a/ 7ci7z cdkyn( $2.5\;m/s^2$ 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 b+ :(dr hkpo3lpqk3h f-e moving downward at 18 m/s. If it continues to fall, two seconds later the obko phqh+rp :3k3ld-f (ject would be moving with a speed of

  17.02: A small object is released frometz*r+t pasx 5w)a)06l do sj m+7c;mw rest and falls freely for 4.00 s until reaching th;c+ ad5w s)ta p7+jem 6z0o*x tsw)mrle ground. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so that it ris +yqt2,a-stnn es to a maximum height of 12.0 m above the launch point. Ignore air resistance. When the ball nq2t-, sya+ntreaches 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 qrqu.k,re h79 straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Apr7.uk9,reqhq proximately 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 hasuoj9 6aeuh7m: speed 0.40 m/s two seconds after9j6o ahuume:7 it begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from th.8d e tpytrj(/e top of a 100-m tower with a speed of 15 m/s.e(t/p8y r jt.d Coin II is 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 twi::nnw a,e*4vjtvdx; dce the initial speed of another, how much higher will it ;:dd *v4xntj vnaw,e: be at its apex?

  02.30: A box falls to the ground from a delivery truccgw khbq6g9g0 h 0m8k;k traveling at 30 m/s. After hitting the road, it slides 45 meters to restgk 0kmhg;b8q06h9cwg . 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 the surfac je +4kqpdu)4i1y:cvse of the earth. After two seconds what would be the diryk+1 pd vjsqe) :ci44uection of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different 9 60ol4os7+qo6 a mvi8zaiok0gb6zoy mass (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rank from high to low the maximum height of each stone. Assubai0ao 7q9k6voz6olz0ym 84 o6+gos ime air resistance is negligible.

  10.25: Two point objects are launched straight upward with i kimxfa7 esvl u4c*564dentical linear momentum. Object 1 has mass Mkx c4f*4m 7s6eil5va u and reaches a 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 (3kw0hv+ c hhv*hmuf *8v 8fftbounce, the ball reaches kv*03thcuhf hf h*(v88fmw+ v one-half the height of the bounce before it. If the time the 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 projectile in free fall achieved its mify y-qg gzny,m:ne)5 0nimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initialnm)-eyn gy0,5zg yf:q angle of launch from the horizontal?

  05.02: A pebble is dropped from a high verfu-h q(*de/ sttical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the -ue*ts(f/ qhd pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about th /4dm5kl 7 u5whrq*mrf37zpd je 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 d*j3md5rlr7hp 4ku7 fwmz5/ qball to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a str 6e/(cb f uvwfa w2g.a2kaoe03aight 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 acceleration, respectively,e23u 6va2wfbgaekw 0ao.fc/ ( are

  04.38: A small point-like object is pulled downwards by grav urha+l/66bch yy7 28gla*7geis3vkaity (down the plane a+h* a7yl/ 3i8cyba7heulgr6s g2v 6kof 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 loss of energy and that it takes negligible time.

  06.13: A rock is droq,jwn 35wt w28(dnq pfpped from the top of a tall tower. Half a second later another rock, twice as massive as the firsp,t3 n q( 82wjw5dwnqft, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along aph7hni e6ja u/5 do(.m track. The cart comes to rest after traveling 1 m. The experiment is repeatemndu i(6h oepa/h 75.jd 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 moving atz-,(k(uptmv f 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 movinp,(-fz uk( tvmg at 1 m/s. How far does the cart travel before coming to rest?

  08.03: A dog starts from rest and rungb ch7pj -9* nt3iyzcq fo+;8ea40ajas in a straight line with a constant acceleration of qbaic0gh-a tf 4y;+*jze3co9 jp78na 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 r+lgc;p aqg: .d;6fxuhest falls without air resistance from a height h above the ground. If the ball falls the first dist6 :;xgfup;hglaq+c . dance 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 acceleraq mp09h cd y)lj(+roav 3m09bgte to the right. At time t=0,dap+j99vm (o yql gbh r0c0m)3the 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 to that traveled by Object 1?

  12.26: An object is thrown horizontally with speed 10.0cl c/z6 r92zc1ik / nazv0:gcy m/s from a height H above the ground. The object reaches the ground with a sp v1:zg 6cc0 kia/nrl 2zy/czc9eed 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 falj0n.:ic-hrxit w/sk *l until it returns to its initial launch point. Which okrj.-*ctn/wh0: x si ine 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 (6vo ccs6wbs mg om;)i;2rmu.how many meters does the object fall during the first 3.0ubo;gims(;m rwcvm ) soc.26 60 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest acrossn+i xyq)t,r fx3xcz /g9lk;m - a flat surface in a time of 12.0 s. What was the initial spee/g frl3;9kxc ti+y, zm n-x)xqd of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to ujxy7e:vyp15f0f dam /z7 o-ea speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move in :y e uopxydf7 mz- v/70jfe5a1this time?

  14.16: A toy car initiq a* d)(hoea)fally moves to the right at 60.0 cm/s. Five seconds later, the car is *eoa)fh)(da qmoving 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 five second motion?

  14.17: A toy car initially moves to the right atpc 9e,: wxsd(cieg01 h 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 ch0p,g e1 c:hwsi9xd e(coices best represents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object movelbeh41- mk.c vs 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 free fallsjp rm 2gk8k37. Which one of the 8grk 2ps3jm7kfollowing choices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right comple sc;4nk9-ztws9 qx,+ic af vz8tes 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 zswqnaxc9;4t-i9z+ , cs v8kfa 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 trpes,cicf xu++:tl ,.vip with an average speed of 10.0 m/s in two stages. During stage 1, the object moves wiu c iv+,pt+lecx .:f,sth 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 frouz (fhu4* bnztp oob,:pq+ ;-dm 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 haup*+4fu ;p ,-(od bnbzh oqz:ts 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, a self-driving car races with a rf: uvrz 70yfa1n3el61:vdx *ogvcv/ robot. The robot acce1 fd rl /o uvnvyz3xv6e:0f *v7:arcg1lerates 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 verticallnhl4o yjbc(,bl5 /.xjy upward. The vertical position of the ball 0.70 s after relb4hj blx(/lno 5,ycj.ease 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 its flight?