94.01: Starting fromu fq iheivt72z fhd t(pb:(-r4o)n/y 3 rest, object 1 falls freely for 4.0 seconds, and object 2 f: ( tqr/htz-of37 (yp uhenv)iidb2 4falls freely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts fn iv(.ui1tsppg4 :c*hrom rest and uniformly accelerates to a final speed of 20.0 m/ u(sit.vp*n h1c:ig4 ps in a time of 15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velonrh mz0 o(04zvcity. It lands 6.0 s later with a velov(mzr4 n00zhocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is acceleratia0tqy0kg1 hookl7*r ;ng vertically upward at *latkg yo0 k1o7;rqh0$10\;m/s^2$. 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 dow x;9d)p9 v(9kvkpdvs nnwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward v9sp v;d9x(p9kvv kn) delocity closest to:

  95.39: A car starts from rest r7ryj -qsz,04h oz +jvand 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 gyl7*+vnu;s r81*a ic*ouvjm xround with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is*+7mv1n*casroju vix8; lu*y approximately:

  97.09: At a certain time, an object/ yc6e/qf:k6 mnmfq;b in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocityqfe/6ym6mc q:/ ;bfkn of the object one second later?

  98.14: How long must a sg-6s;2xav idn9 r5o 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 fallil 0dcd1 w/wo35owd0dzng object is found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object would be movindl10ww o3dcod5 dwz0/g with a speed of

  17.02: A small object is releasen a(g:xa usf/)d from rest and falls freely for 4.00 s until reaching the ground. What was the height above a us/g:(a )nfxthe ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so th78lf2+x h-smlq5+m oaxgda - rat 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 o8m7 sx+ d2 q-fhm+-5grall axbest 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 straight upward so that it rises 0 lj*o ayast zmw(.+w 8:tt)piu2mp 7yto a maximum height of 12.0 m above the launch point. Ignot0 )y 8o*umiapmltp(7j . +s2y wtaz:wre 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 oq- g2wyl1: ome pn+)awo1oj2 inclined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in three 2wpoq:g+ myo ew 11nj-ooal)2seconds?

  98.40: Coin I is thrown upward from the top o56 n2zzd.sdum15 lk4rd b.gkvf 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 vul5zd.mn5s1d .b24 r k6gd kzlater. 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 up0 e/mbvwn i*opn6a xg 1k5q0f3wards with twice the initial speed of another, how much higher will aeb*i1nno3mf 6 /xqk vp0 gw50it be at its apex?

  02.30: A box falls to the ground from a delivery truck travelin4xlc0ix;ft + h1x vpj2g at 30 m/s. After hitting the r0;h xv+x1t4jfclxi 2p oad, it slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards +mpfec0(m sca-j 5f9 vwith a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacf-j(9cf0v5a s m+mcpeement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different ma o8 azyjraupy4y8j1isz6 )-*mss (1m, 2m& 3m) are thrown vertically upward with 6zz4 o81ajyjr-a)*us ipy ym8different 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 resistance is negligible.

  10.25: Two point objects are launched straight upward withyy+uco( )4+x*g (cv btcdelz, identical linear momentum. Object 1 has mass M an)e cbco, *cl tvu d+(y4(z+xgyd 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 alyzha :. kazwf)mj w,m4r7++ns shown. After each bounce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the air between the r)zwaw 4lhj+7myf:a +,.m kznfirst and second bounce was 1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launc ky5/1+biz9g 8lgbcsyh, a projectile in free fall achieved its minimum speed during flighg95lsb1c /g +zyyibk8t. 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 droppe;df wz:5k8z3m uut,ubd from a high vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed z,8zmf wuu;utb:dk5 3 did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height p.iazl y b2kp:1x k15yof 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 f5: 1.1zi p2xalkyyk pball 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 i(ty+kf:vmm/ vnitial 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, init/tf(m v:m+v ykial velocity and acceleration, respectively, are

  04.38: A small point-like ob,2q9 /.red s qoo:zldjject is pulled downwards by gravity (down the plane of the page) but is constrained to exactly follow each of the frictionless pat qdsedo q,j.o :2l/z9rhways 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 dropped from the top of a tall tower. Half a seco6cn q re(;tl39kjm*v nd4q dn:nd later another rock, twice as massive as the first, is dropped. Ignoring air resistanc:mn6 vd9rtjkn4q3(lc*; dn qee,

  06.18: A cart is initially movin4 7*fna 3wrvl3zd. ejrg at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experimre7 l34 .dan zwvrf3j*ent 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 track. The cart cof+z+(9hnjnk tk ,gam;mes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is n+(j,+ ta;zknfgk9 hminitially 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 li)xan d isg0/7w :bttr 4k(9oqsne with a constant acceleratio xwgrts7aq0 ntksd9b(i4o): /n 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 ab2qb5*z9m9or85 7oh dq jmxvfgove the ground. If the ball falls the first distance 0.5h in a time t, how much time is requifx9o d 7o 89qv b*5g5hm2qrzjmred to fall the remaining distance of 0.5h?

  10.38: Two objects both move and unifo0(vy bd flw ,p6.4esnfrmly accelerate 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 sf(,ydp 4.6 fsnlevbw0ome 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 height H (xmi*e v8twa3nb s+1tabove 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 of the object’s flight t1ib+ mtx3( *t awven8so the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in free fa3+,b e yapxix5ll until it returns to its initial launch point. Which one of the following graphs could represex x3,p+y ai5bent the velocity of the object as a function of time during its flight?

  14.03: An object is dropped into f0rml3n ; fg3ttree fall. Through how many meters does the object fall during the first 3.00 sltr mtnf; 303geconds of flight?

  15.02: A box uniformly slides 7.50 m xvrd.7 1we 7--dcv fdvto rest across a flat surface in a time of 12.0 s. What was the initial speed of the box when it starte7-d.wce7d -v vrfvd1xd its slide?

  14.07: Starting from rest, a cart uniformly a (qwsogdzu .rng,/a;r m;,r +vccelerates to a speed of 7.60 m/s in a tim,qarr.w vg+,nom;sz ;/r(duge of 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to th r1yy )(s9ij6/gqtruxz(xk oz);tc 3je 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 choices best represents the magnitude of the average velocity of the car duri )xzk)(j1 jgx3s/c; ou y6rtzrqyi(9tng the five second motion?

  14.17: A toy car init( i :u/ 4gydy3xwjpvmyaw2:9tially moves to the right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The tow 2ax(/u3yy9 :yp4g d:vwjitm tal 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 acceleration of the car during the five second motion?

  14.33: An object moves with const)o at5:p8ksk nk)9 vntant 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 falsk k g7o)iv/yfkj0m 4/l. Which one of the following choices best represents the direction of the object’s accelerat0k)/v7j s oimkf/k4gyion during its flight?

  13.26: An object moving onlys4s9te90o4t:3i vaqyji; ve e to the right 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 stag9 03jite s94 aeey4:toiq;vs ve 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 a*weycb e(a-r 2n 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 di2wea rcb(y* e-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 re4f-ifg 3s rhn2y j6u*nifis8) ui 8(bkst. 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 bal fh8 iinsru-f ys)b6j n4fi *28(igk3ul 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 se,mm(7oox*s; x2blsouk 00caio q.gl.j n+n+xlf-driving car races with a robot. The robot acceo*7,.s ml0kqco2x+j; uom (oxbsanl0nxi.+ g 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 pn2xdu yx89ec6osition of the ball 0.70 s after release is the same as its vertical position 4.10 s after it9x26n dxue yc8s 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?