94.01: Starting from rest, object 1 7qc8 .j3mv.tko:nn x dfalls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, object 2:.3ct v nmjn8xo7dq .k falls:

  94.02: A car starts from rest and unifor b(c6 kvrm*u: 2gecdc3mly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How fv(c36c :c kd*r2bmgeu ar does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no hoe(mh3ra 0fbarwy+efn 8-bt.0rizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of the bal.yh0e8wfanmr(a ber - +f0b 3tl?

  95.27: A rocket near the surface of the earth is acceleratinmv*pgjn:ed1u g*. 9rpg vertically upward at g de rn*gp9p*u:jv.m1$10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body i0jct9 4 .fyv2uc5gw j8ntku p-s found to be moving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving 4 jcpn05vy8wu.2-j kt f9 gtcuwith a downward velocity closest to:

  95.39: A car starts from rest and accelerates as9p vs ++nd i9ivd/d3nb3uvo+ t $0.80\;m/s^2$ 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 frolu/ f-bs ,(qgum the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The he(f q u/-lgsbu,ight of the building is approximately:

  97.09: At a certain time, an object inr io0d 7kb di.j.ln22g free fall has velocity 4.0 m/s in the upward direction. What is the 2 bi70 g.dkirdn2jo. lapproximate velocity of the object one second later?

  98.14: How long must a ou qt+ww89i s6nbqkznc:- 2c7vi+x7 f $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely fall5qc;r b:lq00,vwmrjx ing object is found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object would be mlvc; j50x mr:rb0 wqq,oving with a speed of

  17.02: A small object is released from rest and falls freely for 4 4(t 6nv :iyr;-6xszz1mff qfr.00 s until reaching the ground. What was the height above the ground from which the object rr m -ys; n6f6ftv41:qz(ixfz was released?

  11.06: A ball of mass =0.100 kg is launchetv(2 vn4m i7we )1sf yd8vb-tcd straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore ay w84 b7fn( i2tet m-s1)vvvcdir resistance. When the ball reaches its maximum height, which 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 mass =0.100 kg is launchede-n4l-vt zcstt9ddll7m1.5 x straight upward so that it rises to a maximum height of 12.0 m above the launch po4 d1 -7nz-tlsvd. c5ttelx 9mlint. 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 an inclined plane has speed 0.40 m/s two seco5y xctk/q: p6mw1qj9v)t/v y bnds after5 wjc:t6vbq9m 1yx/pk/yv qt) it begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of 1x:d;kqh xb i4a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero inix:1 dhi xk;b4qtial 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 w)lt8n z pkr/(tith twice the initial speed of another, how much higher will it be at its apex(nl)z kt/trp 8?

  02.30: A box falls to b xtq+6k)o i8la*3n gu-6a)o4gzykc)lzw (dbthe ground from a delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come to restab6gy bk+gkn 38la)l)-)z( twox 4icuqd6o*z ?

  03.29: An object is thrown upwards with a velocity of 30 mhudx2 q()qco 9)fyc 3u/s near the surface of the earth.o3cx u92cd)yqfu) (qh After two seconds what 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 vertical +o; loto:,dshly upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rank from high to low t+o, sd;o l:ohthe maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upward with identical linear 6(cil v 2dkkum8any- )g ynx22momentum. Object 1 has mass M and reaches a maximum hedxy 2cmvi- 2lu a y6k8ngn)2(kight 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 as shown. After each /i8u2 fitlbhf b)5t g2bounce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the air between the first and u2l2f8tbihgfb i/t5)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 achieved its min 9pvlj,gjj35c)d6 zt uimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the hol,cj 5j6p)j93vzg u dtrizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of the pyvw-s1: p0 kxcebble with the grounc10w ys-xp: kvd 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 were arguing about the height of a parking gaz-cxdo*jsbpx0w pl ,b: ira;c+qg,19rage. One student suggested t-ab*:cg,;xpr o9ix z,w0 d pjcls+1bqhat 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 fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initsfpbnhb ,2u*9ial 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, initial pb, shu9n*f 2bvelocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards ;4xbg ymmxsxz0ljf3n fzx82 :iw)dz o31 ;y/vby gravity (down the plane of the pl)j4x82y3g;bm;0x zsz w3fd:z y xiom fn/vx1age) 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 of energy and that it takes negligible time.

  06.13: A rock is dropped from the top d8rbss4l 16k5 r vxs0qof a tall tower. Half a second later another rock, twice as massive as the fi 51d6s4q80bvkslrrsx rst, is dropped. Ignoring air resistance,

  06.18: A cart is initially m h2ozq7p.nv( x+joeg y., 241saudxnooving 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 ihq+yd.x. (7exg2vau, 1p znno jo4os 2s initially moving at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initially moving at ( t(dktjb-hl *n;b2jhw,w9m wet6 w(v 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 tn etj t ,wlt(bwk-w(hv69*b;hm(wjd2 he cart travel before coming to rest?

  08.03: A dog starts from rest an2 zyqhot 9k6u)d runs in a straight line with a constant acceleration of ou92t) kqhz6 y2$.5\;m/s^2$. 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 heightd/qm7*q y5v : p8bnxva h above the ground. If the ball falls the first distance 0.5h in a time t, how much time isp8ya*v7:v b/m qd5qnx required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate toxvd,gtcm 5 snh*4iu34 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 obj hdi5s44 ,x cu*3mtvgnects 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 ml yblafi5 6,/o/s from a height H above 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 objecto/,6 5fblilya’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object re .9 * 1nqd2ap::/ pcvomhhkteqmains in free fall until it returns to its initial launch point. Which one of the following graphs could representphto.c*h21 m/k9 : vqn:q dpae the velocity of the object as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how many mxxb(w-4.qog (aqs2z jeters does the object fall during the first 3.00 seconds of flight?.w-sq(4 (aojgz2 xbxq

  15.02: A box uniformly slides 7.50 m to rest acr f1 uj(cvr qb43(o ajdqwx:/5xoss a flat surface in a time of 12.0 s. What was the initial speed odr5/(xwxuba ocj4 f 31j q:qv(f the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a r4f * a2ga(m:s4 k kqbw.cznu3speed of 7.60 m/s in a tink*c.:zfqu4sr ab2 w4g m a(3kme of 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car init 4flqhf2apg q;u7qy:r4:qoaq61utg ) ially moves to the right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. f2 q) ghoqp7u6g f;q44u :r1qty:q aalThe 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 during the five second motion?

  14.17: A toy car initially moves to thvv;i0t(y haot 9k67c p. jrceoup7-b2e 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.ph9; t7upa7e6tyj(v.2o obiv 0rck-c 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-pf.*52 /jlixh ,ml f y1d9c. kzxrnatant 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 whilsz)tm- dwr2xwjd:7- s e in free fall. Which one of the following choices best represents the direction of the object’s acceleration durin dd:s s2jw)wt-7m x-zrg its flight?

  13.26: An object moving only to the right co5 so gl7tkt(l*mpletes a 20.0 second trip in two stages, I and II. The average speed of the entire trip is 10.tlso(t* 5k7g l0 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 line completes a 20.0 second trip with w :rku4,onv++ q .myx(dt4ngpan 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 seconds .pqo+ (v+u4 n,xm:n4 kwydgrtof stage 2?

  13.33: At the top of a high cliff, ssv-lz 1sby r*k+r-jy3 2nu0d a small rock is dropped from rest. A ball is launched straight downward with a yb3-s2 yu+rlr0s s*-dzn k1vjn 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. The robot acc4 f vfotg/ ma)ohb/e.sf 75kq.eqfbt)/km 4vso../o7 g h f5fealerates 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 vertjog(t30 9mama;f 5j )nldu+ yaically upward. The vertical position of the ball 0.70 s after release is the same as its vertical position 4.10 s afty5 lod) t0jamg;aj(mu3+ f an9er 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?