94.01: Starting from rest, object 1 falls freely for 4.0 81wwnjz-god gs+qd/hj+)g * z seconds, and object 2 falls fgd1own- +)dj jqzh+g 8*sgzw/ reely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and shg:sj3; b 8ull 26oxcuniformly 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 timj h3b 2x sc:6lgl8;usoe?

  94.03: A ball is thrown off ak km 3d9zwt/ji(j8q5lfc7/ 4 d7 quhoh high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocitywz hu4o mct(87jjkq/ik9h3 /dfl5d7q of the ball?

  95.27: A rocket near the surface of the earth is accelj15 zjpwdw6g x 0n*-nyhfk-f0 erating vertically upward 1hf*w nx05zp k-yw06gnj-j df 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 dox ywk w; k3b7jx2g+:hqwnwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a dow w kxkyjwhb;q7x3+ :2gnward velocity closest to:

  95.39: A car starts fromn-zj1:s ukit : 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 amwhb+r+ 7 jl(u;+ut:8teld s a building strikes the ground with a speed of 30 m/s. Assume air resistance cantw uebt++mru8 la:j7l+hd (;s be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has velocitkrpx7 )8e-srvy 4.0 m/s in the upward direction. What is the approximate velocity of the objec)p7k8-verrx s t one second later?

  98.14: How long must ab*ea9awn-gn 2 $2.5\;m/s^2$ 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 doauw8,h,um2w80cjj j ng:al2txm )3tjwnward at 18 m/s. If it continues to fall, two secondt :w2,,lah)ja0mt8u jj8ujw32x c mgns later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for wq mp7w+x/b+47(etkc(pi ma b 4.00 s until reaching the ground. What was the height above the ground from which the object w+bp xi (p q(7e+am4mw t/w7bckas released?

  11.06: A ball of mass =0.100 kg is launched straight upward so that it rises5w; :;vvwhats6mi/hs eq2zj 3 to a maximum height of 12.0 m above the launch point. Ignore air resistance. When the ball reaches its maximum height, ; s2vj:ihz;tvs/a w3w5hm6 eqwhich 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 mas).5./6yumdq/ ra lqft ep)muks =0.100 kg is launched straight 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 height from its m/du y qp a5euf)q/)6.tm.rlklaunch?

  98.31: An object sliding down an is78-aj y7beg ynclined plane has speed 0.40 m/s two seconds after it beginsay j 7bgs8y7-e to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top ja1 :r n ;ll uwz6(3b9c/eklebof 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 latebc ek/1:(e alnlj 9zu6b3wlr; r. 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 ano; bpc o-wb4:fmtrp 1bo3)/ fd:n8yf jkther, how much highe:4p-8b b:) jt/wkmdynfbc1o f o; f3prr will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/st q4oo6mc9lyv)vmv( b .qs4w-. After hitting the road, it slides 45 mtmcoyv464 .9svm-q )( q lvowbeters 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/s near the su+m 5mo,v 7kgzf42mlo tyv 7d6brface of the earth. After two seconds what would be tg+ot b dymklm74v72m, zofv56he direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are tk1q3a( xgbme2 hrown 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. Assume air resist(mbgx 3ke21aq ance is negligible.

  10.25: Two point objects are launched straight upward with v;+: k,akpe6 (vsaid yidentical linear momentum. Object 1 has mass M and reach, sk 6v:;a+ydepi(vka es 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 thu3rm 6ow.s) bte ground as shown. After each bounce, the ball reaches one-half the height of3wo)mt. 6 brus 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 la3l i qqphz- 6ykz23xb/unch, a projectile in free fall achieved its minimum speed during fligh3yql-ihzq62z /xbp 3kt. 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 cax;zb1ka71kqpkw ml 1 rx):2a high vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds afte;1b) pxm1acrk wq1 27kxk al:zr the pebble 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 mciqhxp-a8:36k(bkk garage. One student suggested that to (i c pm- bxa3qk8:k6khdetermine 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 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initial position is x0 + o+xh461qge9ac zj nw7h c,ai= -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs j 9 hc,g 6haeoax17iz4+q +cwnof the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down the pla tfx1 7h5d sxpjn fz fuhm9,93bxr)s(7 i7etz8ne 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 ouznhfd1 m9tx sxb7z3j (p)fitsxf9785, e7 hrf energy and that it takes negligible time.

  06.13: A rock is dropped from the top of a tall tower. Half a second later2de79f + 8jcxqjsc7 m0 ,7pkfre.hors another rock, twice as massive as the first, is dropped. Ignoring air resistances79e f8er27q0mch ,co.r j +jk dfsxp7,

  06.18: A cart is initially moving at 0.53puy3 b 1d9kkhhog9ich7*k3a 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 aoby9k37k39 ah p1ihh*3 ukdcgt 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/sldd+ 24 ;gtd ;85irupdhzhut*l6+ dog along a track. The cart comes to rest af * l4 l6pd;td;g8+5dhd+ug2 dhzturioter 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 to rest?

  08.03: A dog starts from rest and runs in a straio - /9ga t;/ly tq.dztn2tnyuq/e* 2jehlt5h;ght line with a constant acceleration of 2oeqttz9nd y.ayq; 2nl tgut/h;5 / *h/lje2t-$.5\;m/s^2$. 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 from-5u 5fuodffhsdo/afw 0lu lm-41j r .6 a height h above the ground. If the ball falls the first distance 0.5h in a time tuld4 fo 61fr s-lu0-fwuajh/d f55.om, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the-p+07j z4o f uykh7qnw 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 Object7w q+pzjo7 0-k4fnhy u 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 10.0 m/s from a height807odqe1 zc mbljpl.4 H above the ground. The object reaches the ground with a sp.cj lz84b7o0mepl 1 qdeed 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 upwarh3rqsk xw,l1dmb qvof 9ji8jx+ 4h.h71 mwk.2d. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs could represe hl.q1+ik8,mr 2.jwf4xo wjh x 3dkb9mqvs1h7nt the velocity of the object as a function of time during its flight?

  14.03: An object is d5fa;rjyvu,k551 k;ooeay ( n yropped into free fall. Through how many meters does the object 5 1je(kfy;k ,u oaonyy55rva ;fall during the first 3.00 seconds of flight?

  15.02: A box uniformly s7rmbn7e e.a2 xdox+a0lides 7.50 m to rest across a flat surface in a time of 12.0 s. What was the initial spe2x7enad eo bam+ r.x07ed of the box when it started its slide?

  14.07: Starting from rest, a cart unifor n6vv m8kfkx4,mly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Throkfxm48v ,6 vnkugh what distance does the cart move in this time?

  14.16: A toy car initially moves to the rightgznyhs o; pmz.: lge9t+/dq6: 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 the following choices best represents the magnitude of the average velocity of the car durm/;p+:d oet:zzg.qy n6s gl9hing the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. Five seconds lat d2zx7g0p//g qy,;gu:rsz y9 jgc t5zyer, 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 lefts ;u2qc,0/zgyry zzpdg j: 5xy 9g/g7t 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 starting with venhn cf5l0 *ds.5e: xc3mpc6)jjf wek;locity $v_0 = 5.00\;m/s$ 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 fall. Which one of t 3,1cus jp74jv +d3ddilamt .the following choices best reprj 3 a 3 .tp,liv174dsmddcju+tesents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completesutd:1b;0p vpa2ukbj ; 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 12.0tv20p;udpaju b: k;1b 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 trip with a0 q4z8a65 a.hh ah7sthx8qys 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 object have during the 8.0 sz7q.x hq ahy84s56tsa8a0ahh econds of stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from rest. A baa-gmrq fx4 u/w2w1.o-ryie h+ll is launched straight do w2 hf/re +.qg-ua4owy1- rimxwnward 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 the rock?

  16.36: On a straight road, a self-driving car races with a robot. Tha o 3wb.m.lwcs.75am 8mrz.lfyr 68ije robot accelera8ybmwlarmio5 c a.f r 3ms.wlj.678. ztes 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 positionfgh)x 4:lneus,0* eza 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 position that is onefl, 0nux)es *:hz a4ge-half of the maximum height it obtains during its flight?