94.01: Starting from rest, object 1 falls freely for 4.;bkepy0pv3 6e0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, object 2 bk6pv e0p e;y3falls:

  94.02: A car starts from rest and gp( 65me bc9:g7bedwjuniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the 7 p6b ggbejcdwe 95(:mcar travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal vec 58bk:/rn6 gjxnh57kp)fprklocity. It lands 6.0 s later with a velocity of 40 m/s. What was the ini5bkjnp /p86x):gh r7n5kr k fctial velocity of the ball?

  95.27: A rocket near the surface of the earth is acceleratin;y mc6fpbae-a72 xk.zg vertically upward kf -y6pazbc;mx7 a 2.eat $10\;m/s^2$. 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 :fc4.oq in8rf/s at one instant. If it continues to fall, one second later the object would be movo fi4rc fnq:.8ing with a downward velocity closest to:

  95.39: A car starts from rest and a oviviw6 rl6p- eklzcg5a2, 29ccelerates 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 drop*a-g 2 .ejd4 (kr-rvmrncqyv/ped from the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can bkgv2v- e4* /y-cdqj mrr a.rn(e ignored. The height of the building is approximately:

  97.09: At a certain time, yy*9g egr 9y(qc+p lk(an object in free fall has velocity 4.0 m/s in the upward direction. What is theyep+yglqc gr*9(( y9 k approximate velocity of the object one second later?

  98.14: How long must ae(b8qf)+on la-ls jz44shye0-q x: lta 0c;o g $2.5\;m/s^2$ 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 downward at 18 m/s. If it c 1mzqs u;-6nujh 4n:eyontinues to fall, two sesmnn u:jy 46zequ1 -;hconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls free p)q6j rb ld7i6bc1gl3 vb580ykoegz,ly for 4.00 s until reaching the ground. What was the height above the ground from which the object wabgrbld)o7eyg 610bqjp, 5 kv 8il3zc6s released?

  11.06: A ball of mass =0jxh a6- : wu(8iwgn-ek.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. When the ball reaches its maximum height, which one of the following choices best rw-:w xan8-j6 ie gh(kuepresents 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 it ris*. zrvskbut xq5 (ur*lvo) st3b022t +whzk/ wes 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 stor st txq z).0*v2( kw bvbku/5uz+r*w3h 2lits launch?

  98.31: An object sliding down an inclined plane has speed 0.40 m/s two seconds c de-m j3 nvu82ej;c5ubil;e a/qn:q1 after i 1;;q je2b-/um qd38ecvnnajceu5i :lt begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upwardns 0*+ t 8bs8qftpnv13c bu8zgj*lt 8q from the top of a 100-m tower with a speed of 15 m/s. Coin II is drgnv18t 8clb 80s+zptt jb nfquq **3s8opped (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 speedvhh(j2s9k)f +l b/kdg of another, how much higher will it be at it9h g)ksl f+h(j2 v/bkds apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 c8( m scvk+v(sm/s. After hitting the road, it slides 45 meters to rest.(8sc svv (kmc+ How long does it take the box to come to rest?

  03.29: An object is thrown upwards witlha.x)m nt( tw 24n-v*ziel* dh a velocity of 30 m/s near the surface of the earth. After two seconds whah inw t4lvdl nxt-(mza**. e2)t would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m , lfi.ef,j)lqlqd929gzl wmjz 31g: h& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass al2i)z ,:q.91q 9jzlgl, dffj3hm ewlgnd 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 with identic9 xusv9ffv n74al linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has massf nxv9 fsuv974 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 eac t w/+ryp5 mgy k5rk.om38od*xe9t *dch bounce, the ball reaches one-half the height of the bounce bkmxo3t9tr*8k+m 5p/yd ry c.*eg5owd efore 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 free2jvrnx . uru5+33 glko ifc)9lad9(th fall achieved its minimum speed during flight. If that minimum speed was 15.0 d3r2 o) 3kvu.u xl+n9 (fialjhgc r59tm/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a h2/ +juldxk9uv ,:uw4fo6niu , /7sqbjl4slroigh vertical cliff. The collision of the pebble with the ground belbu:u sjjloo,6f4snrdlk7, u/q9 iu /w 4x v2l+ow 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 arguing abz8mu4 3.qpvp,q8 vips out 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 time the fall of the tennis balls. If the time for the ball to faz q3iu.4v8qspm,pp 8vll was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straigh5t)g6 y; r l9w;fdypmnt line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate ;gfm wytpy6);lrd9 5 nsystem, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like objqnehd-) p v2j4v9l.h (i6iuqf )z 0fdfect is pulled downwards 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 ) e6dqp qf.n0hzv-vifu)ji49(2 fd lh 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 tkblgr ;u kvcmad f 4s()6e*)r8h4y, pihe top of a tall tower. Half a second later another rock, twice as massive as the first, is ua)pldm(ek)r*6cv b kys 4 ,f; rihg84dropped. Ignoring air resistance,

  06.18: A cart is initially moving a z5tw bpxh( 7sxpa;7n18+m dcpt 0.5 m/s along a track. The cart comes to rest after traveling 1; 7+xz ( bw8ncxpd5mhptp1s7 a 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?

  07.11: A cart is initially moving at 0.5 m/s along a trackpq - 1 rb32mqtx4 x+n qyzxhikj5p1**a. The cart comes to rest after traveling 1 m. The experiment hzqmp+i3anq5 t *jxrx -1x 14q2* ybkpis 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 frb8jg/-jx:yx-;f4uy)wl7ndtbz , a xw om rest and runs in a straight line with a constant accele j8xta -;/w)gy4xu bjd,-bl n x:yfwz7ration 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 resistance from a height ptwnn) c a i3cdg3s,xtgka/)5kiw90)h above tx/)t3 sd, ap)g iniwa0tg3)knwckc 95he ground. If the ball 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 a*w:xp +pb(u:lo,sd pu.bohl 3ccelerate 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 tp,p xwdlhb*pul::ob uso (3+.wo 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 frm za+; ur+3lz 95vt 98np zsbm7djf4z0on3omqom a height H above the ground. The obo87zmn3mp ;o rz b5dz0+l43aqs nm9v+9tuf jzject 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? Ignore air resistance.

  13.10: An object is thrown straight upw sif 601rn+tdd/ y5jjward. The object remains in free fall until it returnsrty j1/5sw fj6id+n 0d to its initial launch point. Which 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 into freexgcecl 4mih:lg.cg42 x52 en, fall. Through how many meters does the object fall during the first 3.00 seconds of ,g4c 2 :menxlixc.gc5el g2h4 flight?

  15.02: A box uniformly slides 7.50 m to rest across63x(1gohio0 w-fijlz7sn 8 h.t 2howv a flat surface in a time of 12.0 s. What was the initial speed of the box when it startw s3gz w62jo18toni lh- xho v0.(ifh7ed its slide?

  14.07: Starting from rest, a cart uni 2ho u2pzj zujo vl 6,;dsgca:3(ns65bformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what d jljpu;og,bs3o u 6z 2(6shznv25:cadistance does the cart move in this time?

  14.16: A toy car initially moves( p 1sb 6nh2i;rnlkgg-msrsi2l q *7b5 to the right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The totarl (n1splsis57 bgnrk ;b-g 2qh m6*2il 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 righy+h*b fqes hgzy339*ct 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 y9q**ye3h+s gc 3 bfzhit 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 mzj 2 6js//piodw0zp /n 7cwj: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 fall. Which o;rd3fq ;q4cy q- uyp:g6y ew.one of the following choices best represents the direction of the object’s acceleration during its flight4y qqef r.y; cp3dq;y:o6guw- ?

  13.26: An object moving only to the right completesb g-esl g zrxt/0gncup5yd8 5o62um** a 20.0 second trip in two sta*tc zx * p0b6-ygr n5u8gm52ude/losgges, 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 8.0 seconds of stage II?

  15.32: An object moving along a o szt.:ruyc/ p2p4/m t;i2w ooline completes a 20.0 second 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 right for 12.0 seconds. What constant magnitude acceleration di zwpocu;i t sy.r4m/po2o/t2:rected 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 from rest. A ball is 3k6h0b+fkdy p,p ham/iwkd:b,u gp4 4 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 relgb4+bfmayphkwkp 0hid:pd/, 43 ,uk6ative to the rock?

  16.36: On a straight road, a selh ed (319ynt6iu u(l90)gfnlrtrs,bqf-driving car races with a robot. The robot accelerates a ,yi1b9rgd(e tq)fur lnu0h3(6nstl9t $8.50\;m/s^2$ 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 e :i atc6t8racm.sjg+p 2 c,juim.8c5upward. The vertical position of the ball 0.70 s after release i cm8aa.ccp,rjt m. eu8 tci:+5ji6g2ss 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?