94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and object 2/u9 x2 p,zcbm3sha zer0b 3t1y)pj) k(m 1cmmc falls freely for 8.0 seconds. Compared to jr,e b/ 3u39mzp1zb p(x kctch0mams1 ymc) )2object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed of 20.0 +8gnb pqf4j-f+7b 3sd:gvrd u m/s in a time of 15.0 s. How far does the car travel duris+ 3v gp4brddf:bnj+7qg8-uf ng this time?

  94.03: A ball is thrownsu dml 69e3r0v off a high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of td6 3sev9mru0 lhe ball?

  95.27: A rocket near the surface oi56ne--grc*hwo;- p .a dmclwf the earth is accelerating vertically upward aldcw; rpi-ea* mch.g6 5o-w-n t $10m/s^2$. 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(u0 n5eze4y4 i)w*pd fck0xksoving downwards at 27 m/s at one instant. If it continues to fall, one second later the ucpi5k*ndz e0)wx0 e( 4y sf4kobject would be moving with a downward velocity closest to:

  95.39: A car starts from rest and acceleram 6y yte4x3 n ga-:kpoj,;no-qtes at $0.80m/s^2$ 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 dr 7cv7c-oph17orrcb 9 sopped from the top of a building strikes the ground with a speed ofcboor-v7cph s r 97c71 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall ha);q .yiair,z*rti g 8ws velocity 4.0 m/s in the upwardqir*w, .gy ;iit)azr 8 direction. What is the approximate velocity of the object one second later?

  98.14: How long must (c4j5ex : rlfwk)voue/ hz +7wso,q2qa $2.5m/s^2$ 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 ns;ed :ca mp6s7+g kl(at 18 m/s. If it continues to fall, two seconds latndgl7s ;s:ka pm(+ce6 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 a6x jruoh,.x8 until reaching the ground. What was the height above the ground from which the object was rel86 ,aj.xhro xueased?

  11.06: A ball of mass =0.100 kg is lak(9( t xa-lbw 23oaxmnlaql 30unched 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 represe02-3m9x lo(w(ln3l aaqkabt xnts 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 rep,: tx c9qtl0) k5.dl7tdhnuises to a maximum height of 12.0 m above0.tkh, tpq): c9dxu7lt en5dl 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 9obg e 8c ci*nk(f)f)xan inclined plane has speed 0.40 m/s two seconds after (fg c)8*kcn)foi bx e9it begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the tof2lkdq( 94jlx m7iz;po8 c3ej p 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 latk;9omjl(d783q4 cpex fizj l2er. Assume g is $10m/s^2$. 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 ini0ays z8poa 8v5y3u*hvtial speed of another, how much higher wilz0 88v hapau3vyy*s5 ol it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling a5 u3qq3oixb k0t 30 m/s. After hitting the road, it slides 45 metuik053xq3b qo ers 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 s5+r. qq6fva 4 eg4bblourface of the earth. After two seconds what would 4bl56+v qbfor.agqe4be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (esn9;7bp327zv xp rvz1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rank xv;9e32nrp7pbszv z7 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 identical linear mo )7pu6lb3 a+r,5ifzyqdxq k,umentum. Object 1 has mass M and reaches a maximum height H above the launch point. If objex+ ,y ziafku )brupd53,q7l6qct 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 as shown. After each bounce, thg4f mo c/.z51uky;;xrrs i8 pke ball reaches one-half the height of the bounce fc y/r81kokspz umgr54; i;.x 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 j+l(s zo7 )a-ob vx4tvin free fall achieved its minimum speed during flight. If that minimum speed was 15.0vs)xa4 (tb vz-j7ol+o m/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision 8 wpt-kh 0b 6bj*rvzhn i.jo:4of the pebble zn4: 86.tih-wbpj j ovrk0b*hwith the ground below 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 were3ci; ) wn+cr d*-fnexm arguing about 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 balx md;fcrc wn3* -+nie)l 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 = -5 gjv) vn+lm9)r4 cbo(ff 8wjh)meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respecbrh)g)4w)mvjf8(jn l c 9vo f+tively, are

  04.38: A small point-like object is pulled downwards by gravity (down tm j) j 1jv.zknk/rc;+xq wptkmy vr;t37-4l+o he 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 i4+rxvz1/c l-;+myjqvk n ktjkm;.7)rpt j 3 ows no loss of energy and that it takes negligible time.

  06.13: A rock is dropped from them5qg 2kux hjgfv38)nie55 3dy top of a tall tower. Half a second later another rock, twice as massive as the first, is dropped. Ignoring 55xu2kqf53yed n vi 3jgm8gh)air resistance,

  06.18: A cart is initially3 n9; twgsnbs3 moving at 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 now the cart is initially moving at 1 m/s. How far does the cwgn t3s 3sb9n;art travel before coming to rest?

  07.11: A cart is initiuf6 9fkcqor5)ally moving at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experimen5ockur96)f f qt 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 an8+o+5l puaa3cunnc0 vn /tqg/d runs in a straight line with a constant accelerannu 30 8gca+p/tv5la+ c/uqno tion of 2$.5m/s^2$. How much time does it take for the dog to run a distance of $10m$?

  10.29: A ball initially1 s,gd pzl/. uj-c:w0sbvi+co at rest falls without air resistance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the remaining d ,zsco:u-.wcvgl1+0/ji sbp distance of 0.5h?

  10.38: Two objects both move and uniformly +8 y6 1n:)dl a bjghfrg;(jxqlaccelerate 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 two objects is the same. What is j1x6nh lydr ;b) qafgj+l:8(gthe 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 yzk,dmch*y44 iwf( 84-xn lx n1 yq5z gm3gto9a height H above the ground. The object reaches the g4mq (cmi1,y y xn-nhg54d3 zw8k4fogzl* y9txround 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 tx 0u7ro* t+zcfhrown straight upward. 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 function of time during x utf+zo *0r7cits flight?

  14.03: An object is dropped into free fall. Th;wgz 12kl6afn2oqm7 xrough how many meters does the object fall during the first 3.00 seconds ona 21mqzo6kxg 7;wl2 ff flight?

  15.02: A box uniformly slides 7../ wvef)si) nvt- grbk1n)aa /50 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of the box when it //.sf bnkae) v-1)vgwnria)t started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speedao40hxvu v3r 4bt3/ p)y3emhb of 7.60 m/s in a time of 3.3v 3br43)xopmy0ea htub4/h v00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five seconds ;l qu2to3s ig6later, the car is moving at 40.0 cm/s to the left. The total disploq62u3 l t;sigacement 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 right at 60.0 cm q +k;zpe9l)x lexdi /zg423jc/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 repree/ p)jlek id4gq2;z cxz +9l3xsents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with constant acceleration starting with veloranf.7 . vz.excity $v_0=5.00m/s$ and ending with a velocity of $v=-1.00m/s$ 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 faei2odp--:dhp h gcr22ll. Which one of the following choices best represents the directio-h2pdr deg c2 p-:i2hon of the object’s acceleration during its flight?

  13.26: An object moving only to the right com) 2 cv:fiohpce(6c1 zgpletes a 20.0 second trip in two stages, I and II. The average speed of the entire trip is 10.0 occfcz p)26i g(h 1:vem/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 line completes a 20.0 second tr ) qo10/ke*t cluuykga.l.6cxip 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 right16. kt)o0 eklx al/c uycg.qu* 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 dropped from rest. A bw./sq:: aykdj1 m4xemm 6y,jnall 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 thw :s ,m:dmyx6 na.jk4eq1j/m ye speed of the ball relative to the rock?

  16.36: On a straight road, a self-driving car raz.(1x0gv yq3n vsj tcsxgc;h9 .gi9+z vis3n2ces with a robot. The robot accelerates x h2 y(qsc;+v i.1xg9v z03g.gtscivnnsjz39 at $8.50m/s^2$ until reaching its maximum constant speed of 15.0 m/s. The car accelerates at $5.60m/s^2$ 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 upw6m1 , rj wpfzzs,;nyjfe)6 do21ev-gsard. The vertical position of the ball 0.70 s after release is the same as its vertical position 4.10 s aft en, 6 1o6)mj,fv2yzsewf1; r-jdsg zper 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?