94.01: Starting from rest, object 1 fa wvjx: vlj+qz 0vy4bei6e g4-;lls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Comparedveljy0vi -4qvj gz : x;+4w6be to object 1, object 2 falls:

  94.02: A car starts 2;mnypl1n/gs)wjwy9u 0o f6wfrom rest and uniformly accelerates to a final speed of 20.0 m/s in a time of y ygmnu/9)npj6wl2;0 f 1swwo15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high clif29 i db+ -v2we)ht0dnetdv 9fbf with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial v d2 2hbb 0ttveenddfwi99-v+)elocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating verticanehc m7:c. 7sylly upward atc 7nc7ehsym.: $10\;m/s^2$. 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 m;ng; iiue) 4s)h2wmmsoving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward velocity m su) ;;i)m42nie wsghclosest to:

  95.39: A car starts fr6 hyleyx:5vn 0ji-uq o;:6n ipom 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 building strikes the ground w e3jg .at. akc*n)l5rp.n3drlith a speed of 30 m/srkanl gder. *5)lpt.ja.n3 3c. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, 2 ;eu 3on*:ncm u0cs8uq-w p9yx6t gyhan object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of thecnpuu2*qm;:yxwhs8un9y-360o ct g e object one second later?

  98.14: How long must a vn:h) u0z+ez y$2.5\;m/s^2$ 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 ca g9a f+o+v:zto be moving downward at 18 m/s. If it continues tv9ogcf: az++ ao fall, two seconds later the object would be moving with a speed of

  17.02: A small object is releaselhqg go: (b1i3d from rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the object was relea(qhi gg3 bo1:lsed?

  11.06: A ball of mass =0.100 kg is launched straight upward saiq u16pv) ts2r l;r9uo 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 t vr9l1 utupsr;qi62)ahe 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 straiggkzb;/ i11x2di u5tytht upward so that it rises to a maximum height ;x1t5tz2 bdy1kui/ ig of 12.0 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 speed 0.40 m//ttrx n5kf6;us two seconds after it bek 6;tfn u/r5xtgins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward fqne5l qrfm7j 5/ -f.fzrom the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s later. Assu.5j/ rn-qzmef 7lq5 ffme 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 initiaqj g()qk*hg. dv:vm v/l speed of another, how muv /gjv :*hkq()dqm. vgch higher will it be at its apex?

  02.30: A box falls to the k i x9 zs7oamh0evnc(aq/-8xjbl20u . 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 come to rest?saj b7 x00ez/u8 mqlkx(c .o-a hv92in

  03.29: An object is thrown u1w h / a:n4zq:vmfh;)jqm9cu upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity and acceleratu:9uqhz h:/mwc)a m41qvf; jnion?
displacement velocity acceleration

  04.10: Three stones of diffe f1foe6c u et- xd/ ik3og*2yo10twb8trent mass (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3xiwe8d0yb /e ooft tf1 k631 ou-*gtc2v respectively). 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 upwar( 7e1ifn4xa ll3 7sfxcd with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has mass 2M, what is its maximum attained helclxn e4af(i 13s 77fxight above the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as sho6 0bwpl /d-n;wlzm6na4mpfgz74-s yp wn. After each bounce, the ball reachmnaw-6/-p;mzfls 7dwbzly4p 0 g6p4nes 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,i jd( 1fbeux qk3x),i. a projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the prox1k .,idbjq i(ef 3x)ujectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of the pebbmg1nc+xz) ,msle with the ground below is seen 1.50 seconds after the c+ n1gxs mm),zpebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage. Onyug c5w;8.qu1vwg uk4 e 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 timcqw1;uwu8 v5 .g4ukgye for the ball to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its i z dmw,arg4 c-xjee/u79ow sr/)p3 mq+nitial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordrcu/)z4+7- g a9emw /qsd , eo3rxmjpwinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down t*cgvq::z.)gw x-3ve; auj x athe 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 loss of energy and that it takes negligible time.:aux-3awvjzg )v * :x .gectq;

  06.13: A rock is dropped from the top of a tall tower. Half a second later anomez(+ cb+nax0-.oi ful8q g;kther rock, twice as massive as the first, is dropped. Ignoring air resistance,+( mf0gu z;-klbiqa8o xcn+e.

  06.18: A cart is initially moving at 0.5 mye /a vm d .qc. inrpa3.6wj4x3+apu*u/s along a track. The cart comes to rest after traveling 1 m. The experimentx+i6n./.yud.jp 3ar vpq*au 4a wem3c 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?

  07.11: A cart is initially moving a -a kegbn1o:7ut 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 nobua-o1gn7ke :w 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 w)mlx 61e0 rhhpa o0ds+ith a constant acceleration r +l0epx) hadohs61m0 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 resista;2fhf trckwv+d,sl(01iqan3.pz p6 hnce from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much timea,( p0dcfstf2zh6lhwkr1 i;q v+p 3n. is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At time t=0,(u* iphdc9 s w82 al)w*dal(yfthe 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 t 2i* )*lu lf(cwddw(9ys pha8ahe 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 hor j oxesf:djc;0 z(01s-xd5g prizontally 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 ofdxdj j0es( pz-;c0 gfrx so:51 the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward.f7 :qj rz5wwo+r9wys53e8xr rq;h6g x 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 functw3:f+ygew5h r x8z6xs;wq oqrr59 7jrion of time during its flight?

  14.03: An object is dropped into free xi9z h: b.tz0bfall. Through how many meters does the object fall dub:z9 zb.hxi0t ring the first 3.00 seconds of flight?

  15.02: A box uniformlv: m7jf ivq5a*y slides 7.50 m to rest across a flat surface in a time of 12.0 s. What was the initial speem7*qf5j i:vav d of the box when it started its slide?

  14.07: Starting from rest, a cn gqc(w i6dp)(art uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the ca (nic(6qgp )wdrt move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm4q18 8t zfcglg0j:e dq/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 average velocity of the car duringjc0g18 d8 :flqzt4eqg the five second motion?

  14.17: A toy car initially moves to the righ,rakban ;me( i+4m)1noh v -ry+ -qdqet 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 of tho4qrbm+q +mra -hv1n(ei k-n, )e; adye 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 accc wx4zpla02 rt:uj+8rks4v/ jeleration 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 initiallyczvt(wv5) 3fo;4igj ue8p,qe is moving upward while in free fall. Which one of the following choices best represents the direction of the j vq),i5f(cw 4zeu;3oevg8 tpobject’s acceleration during its flight?

  13.26: An object moving only to the rightk4nnyo 1qh; n8ob/3b5gme; hs 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 second5 nhb /bshyo3g8 en;kqn4;mo 1s. 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 trip s x ys uvz-f+c772nfo.)b3qcs,xj )ajwith 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 right for 12.0 seconds. What constant magnitude acceleration directed to the left must the objebffscj3n+ 7u.o , s2 z)qjy)-vaxs xc7ct have during the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from re ivibk,)(u8mpqd/ z rdow/i ga)m19+est. 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, whi)am+/uewd bokd ipz ()/189iq mvgr, at is the speed of the ball relative to the rock?

  16.36: On a straight road, a self-driving cpcq,0q2sk-zg ar races with a robot. The robot accepz-cskg2,0qq lerates 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 vertically upward. The vertical position of the ;,iv evv6d4:bqlwjc8 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 position that is one-half of the maximum height it ovd4vwi86 ;eqcjv b,:lbtains during its flight?