94.01: Starting from rest, object 1 falls freely for 4.0 sec.(avk8vib2fii,.f .u lz r5lfonds, and object 2 falls freely for 8.0 seconds. Compared to object 1, object2lk.(fb8v r, i 5zuv.iaiffl. 2 falls:

  94.02: A car starts from reoad-2oir xe*7 st and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. H io*7xoa -dr2eow far does the car travel during this time?

  94.03: A ball is thrown off oml;j46qzt7mq5 t( sva high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the inq 7o ;t s(mj5qm6t4vlzitial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically upwpem.j 8u:b(il0so( x kard atke. um8pbjol :s x(i(0 $10\;m/s^2$. 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 do(thmes:p8dh44d. , +tfwb rlownwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward velocity closest+sth(lfhpe4mwtr d,4o:b .d 8 to:

  95.39: A car starts from rest and accelerat1hdmf jb q81f1es 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 wtha :hnn5aec- z7d(/zith a speed of 30 m/s. Ast-z(nhea c: z5d n7ah/sume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has vela*73yb, m 2cfk-lkundocity 4.0 m/s in the upward direction. Wh7*dul 3byk2fk a, mnc-at is the approximate velocity of the object one second later?

  98.14: How long must xu 5eby,lxa3j kw.23jyx; x*o a $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object )wjgt3z be(7iis found to be moving downward at 18 m/s. If it continues to fall, two seconds lategwb) i z3j7t(er the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.00 s untilxbl/ic8le ik;:zub457jk 5 ru reaching the ground. What was the height above the ground from which the object el85 l 7rkuz;bbcuik4j5:ix / was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so th,+ du,b kuv qfe hzyl67e)6. ht:/gxzxat 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 represents the magnitude of the net z6/:)h,ut7 gvxq, .uxbhezyd 6 flke+force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =(ppen-;kz ,5juez gc*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. App(;epgp ue5z,-kjz c*n roximately 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.l(03 t rmx,aon (2ec yjlby(e040 m/s two seconds after it begins to slide. Approximately ho ( ab0nj3ye,e(cm0(otlr x2lyw far does it travel in three seconds?

  98.40: Coin I is thrown upwh.d+ tdy /m -r*syp:otard from the top of a 100-m tower with a speed of 15 m/s. Coin II is dym/h-ro.sdtpt + dy:*ropped (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 ;h)* pb:qxia*nuag 1sanother, how much high*pus*iag; :bxan1h)q er will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 33s ;adppomk i9;,o5 fpu+isie9f5 2uo0 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come to rpoi+ p2ifi3m9f ;oo eudk,p a; su59s5est?

  03.29: An object is thrown upwards with a velocity of 30q*7jgf-u fv mnmmhx u2.*u:)d m/s near the surface of the earth. After two seconds 7m:hgdmuu.j 2 f)*mn-vqx f*uwhat would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vh0( xpy (vb:eeh4zl9hertically upward with different velocities (1v, 2v& 3v respectiv94:z ( pvhlh xb(eeh0yely). 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 laun+tx six; ;y eq.ib40rgched straight upward 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, whatby0xrxt iq ;si +;4ge. 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 bounce, theo*g.c etn2vje p z-/,q/)ibnw ball reaches one-half the height on*2ce . j-b /)epqvz ,/wtnoigf 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 tyxoa5o98 cuh 6t8)ibtk +,hpachieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the horiz yo8ott) 8xp96,i cbk5+ huthaontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of tbsbkpt /aky;)vk,ix j2vn6(k **yx3ghe pebble with the ground below is seen 1.50 seconds after the );/py*bv kg k 3yxjvnx2s k(,kt6*iba pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing abutt:+qyx7pi( ghf2*wi uvqs,d 0y 2(cout the height of a parking garage. One student suggested that to determine the height of the garage, they simpp si2vy((f +:,qutg wu qhd*yc0ti2x7 ly 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 posit wz * 0zmcx*0.ale y-ksanwznx0x.7-d ion is x0 = -5 meters and it is moving away from the originynl xc0waz-x - z * szn.wd.a7e*00xkm and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by grayrid*p3q.b 1/eie lp; vity (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 ati e;3.yrpdb1/iq p*el 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 dropped from the )g 7w/dncts2t top of a tall tower. Half a second later another rock, twice as m72/d )tcnwtgs assive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 3c2qp3k rhi-h 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 at 1 m/s. How far does the cart travel before comk3hh ciqp3 r2-ing to rest?

  07.11: A cart is initially moving at 0.5 m/s along z(a.pkrkmce r0c3u+ 5a track. The cart comes to rest after traveling 1 m. The experike+0mr p5u.c3ka zc(rment 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 straight line with a constanp zi+adpp3n34v .r8kdt acceleratidirv n4kap3p8.3d p+z on 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 h f8 3mrap03pbe s7x.tltng dqvn)ts8(9qe 3 8zabove thb3 seg(n809 px88 elqs)ztm3nr. p7t atvdfq3 e 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 accelerate to t o)zd .sczaxux23d /t/m n24yzhe right. At time t=0,the objects are at the same initial position. Object 1 has initsd)nm2c.o4uaxz 3 y tdz/z2 x/ial 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 wi 5 fptmo.ky j sph78wa9mw0x01th 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 ths0kxf w twojp.hmy7 m 9p05a18e following choices best represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straightmz q5gg ke0jh 6w:l0k- upward. The object remains in free fall until it returns to its initial launch point. Which one of the folloh5qk jk- l0meg6wgz0 :wing 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 wkyx)b9z5/a n how many meters does the object fall during the firs9n xbyak5/wz )t 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flatf7l,5 xsy)ro5.-bse gw 5tf;kri mg2f surface in a time of 12.0 s. What was the initial e; 55 ).75lo s2grg ftxmwsyk-,biffrspeed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerate1)b.vs jg*d sns oj--fs to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart mond f .)sj gbjv-o1-ss*ve in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five lb1l 75g(bvfs 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 vel( fl5gv7ls 1bbocity of the car during the five second motion?

  14.17: A toy car initially moves tbspm 1z1nhd99tlaxpki ; g: 4;o the right 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 cho i9:kx ;pshmbt4d ;zgalnp1 91ices 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 wit/kl:2 o *-cma1j2fe9u fxvtl by+im 6gh 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 wha+ 5j0 tk g;(v9ulrqt7e4t/ojfoct7 eile in free fall. Which one of the following choices best represents the direction of the object’s acceleratiogjte0orl e jt 5/7o7t(ut ckvf+qa;94 n during its flight?

  13.26: An object moving only to the right completes a 20.0 second triwbu j38kp5v9q.onf g1 nz6, +vxsaa-vp in two stages, I and II. The average speed of the entire trip is 10.0 m/s. Fgp 1 ,9s 8nvv6xf5q naov+-wk.3azbu jor 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 line completes a 20.0 second trip with anwuq0 hbmj6 deav o9s:-qf 93//hh g ;h5kkq,qu average speed of 10.0 m/s in two;ubhjgqe0ho-a su :969h5d k/fkhv3 mq,qw/q 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 seconds of stage 2?

  13.33: At the top of a high cliff, a small rock is dwkh5 /gy49do uropped from 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 fallen 28.0 m further than the initially dropped rock, what is the speed of the ball rew5o4 g/9duy khlative to the rock?

  16.36: On a straight road, a self-drc :oi .u2czpw3 +x /sq,(mtrmsiving car races with a robot. The robot acceler: ,cc zu3s2 m+o/x.pti(qswm rates 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 va djyum7- ti+6ertically upward. The vertical position of the ball 0.70 s after release is7-u mt6d ay+ji 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?