94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and wnn2se3l2ue1 object 2 falls freely for u32le2wnse1n 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest5udi rvtjk*88 and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during thtr 88* kiuv5djis time?

  94.03: A ball is thrown off a high cliff e1-xr (i*8h7kz6m bntwzes3lwith no horizontal velocity. It lands 6.0 s later with a velocity *b l 63(z i-trwe 8x7hzm1nsekof 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near t3;5w+ nm8d+v hqx dpwche surface of the earth is accelerating vertically upward avc8wn x 5d+d qmhw3+;pt $10\;m/s^2$. 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/s at one,q 4nij;1;kl6 pv ib mvrkm6ptftexxc7 9(n-* instant. If it continues to fall, one second later the object would be moving with a downward velocity closest j k el*kibm;mc71v6np(vtix4 -n9p6r , ;tf xqto:

  95.39: A car starts from 9y80w / vyvc oc1jmc/z og+5xurest and 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 u(ir(l.1m(.gh 1p uzwyv+zgc of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximater +l(giuzcpu11h.( mw( vgy.z ly:

  97.09: At a certain time, an object in free fall has velocity 4.0 m/s in evf a/1d;d:muhb mi7+ the upward direction. Whaf/;mm :ad+1vu7ehd bit is the approximate velocity of the object one second later?

  98.14: How long must an2 gk3gtu48o ydy1c0 sb+w0ky $2.5\;m/s^2$ 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 etnwwq /co u 7pyi 7jo+g5:ej3e9. b;l18 m/s. If it continues to fall, two seconds later the object would be moving with a speed 9/un gw;cby7e.j:twq ilpoje3 o7+e5of

  17.02: A small object is released from rest and falls freely for 4.00 s untik:qkwz ax/iqj g 2.z**l reaching the ground. What was the height above the ground from which the object was relea 2.q* *zq:gwajxki kz/sed?

  11.06: A ball of mass =0.100 kg is launched straight upward so that it rise1 ym1f nhykod*d8 muk4)td/6ts to a maximum height of 12.0 m above the launch point. Ignore air resistance. When the ball reaches its tm fny/yk1k6m8 d4do*du ) ht1maximum 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 launched straight upward so th4w/iiuuxxilp 1yp; 9 1at it rises to a maximum height of 12.0 m above the launch point. Ignore air 1 iiiwpxp;u 1u/9x4yl 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 two9zc8wdm( ( pwz 4/ ce+gvf;jiv seconds after it be zdv/4fcz (ep iw+g(cm8 ;v9jwgins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with f2r1fdc3ys r4 a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s lar dcy34f 2s1frter. 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 ano ,4/b bgdv5- 7sgoxgufther, how much higher will is gxbv/u b-7 4g,fog5dt be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 36nmwda0b uta (f5(0e ho mn9e;0 m/s. After hitting the road, it slides 45 meta(5nu006m efwh;9 deaobnt (m ers to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity utmtjiklu; j(ylm9x ho) -+m.o72uip+b +dy8 of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity and acceleratdpui++umtlht; 7m8o ji klym + .29x)yjoub(-ion?
displacement velocity acceleration

  04.10: Three stones of different mass (1m9*ymolid :t.fh /hx o6, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram .ht oy modi:/l69f* hxindicates 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 with identican)lo jvk/d 66tl linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has mass 26tvdn6l )jo/k M, what is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as sho3y sagr9 6zei9wn. After each bounce, the ball reaches one-has36z9 ra9ge iylf the height of 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 achieved idar9 of43y0kan;e pa+ts minimum speed during flight.r dao+afyap4k e3n90; 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 dropped from a high vertical cs(g3w)yyaq a;f9s 7otliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pessa o;y(7wafgy t3q9) bble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the hei7n(qx /nfo*zq ght 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 fall was 1.4 seconds, approximately how tall is the parking garagqo7 (nnf /z*qxe?

  05.07: A snail is moving along a straight line. Its initial position is x0 = - wf41dj qhirlhzy*/..5 meters and it is moving awa1.w4yhfzqh l*ir./ jdy from the origin 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 bgnemd ,z/ p bdrc-,e35 6iv4 s9q3bcbty 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 rcgbn3 m bbve9, d/q564i es,t-drzp3 celeased 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 zo/ +*ropt +ud-cpao9 second later another rock, twice as massive as the first, is dropped. Ignoood-*z p/ 9o+c aur+ptring air resistance,

  06.18: A cart is initially nm v rw;x42nn 8h)0mfemoving 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 cart travel beh4xfe n)2 mnvrw;mn 08fore coming to rest?

  07.11: A cart is initially mov,kc ke yxukn c4;7amz*(j3ja -ing at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repc e4amcyu(- kkzn 3a*x;7jk ,jeated 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 li70uo j. m--pgotqb9r o7u(uo lne with a constant acceleration ofm lqu-(ooub -o9utr7.0 go7p j 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 resistancet-5vfin-kg 8u eo90xa6.bk f k from a height h above the ground. If the ball falls the first distance 0.5h in a time 6.gtf0o8 vbki5kf-9 aknx eu-t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformlv)+:8lqf4b6lyakw t t6iak7 ey accelerate to the right. At time t=0,the objects are at the same initial position. Object) kb4 l+elvky 6a7qf6tia w8:t 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 the ratio of the distance traveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is thro* hq 4llwh/8,eqly-aw*zbo o4wn horizontally with speed 10.0 m/s from a height H above the ground. The object reaches the*ez 4y4b8hw o w*,h ll-oalqq/ 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 upward. The object remains in freezs+ds,d, nkl9 fall until it returns to its initial launch point. Which one of the following graphs could represzdk,sl+ ,nd 9sent the velocity of the object as a function of time during its flight?

  14.03: An object is dropped into free fall.egih+hg ;nkoy ; /5i09kt3 gda Through how many meters does the object fd;g5nak 0yoh;hi9 +i3g/ketg all during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest ack2 uia8m7ek7j8 zuo cv)6m6nuross a flat surface in a time of 12.0 s. What was the initial speed of the box when it start uvkjn m 8i)ocek72auz86mu7 6ed its slide?

  14.07: Starting from rest, a cart uniformly--sp8k5 kbvpa accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through wh pv8p-kskab-5at distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 6 at)t:bnq4 i8r0.0 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. )4: at inb8trqWhich 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 u;4fn9 w8mlgxmoves to 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 starf98u;g m4 nlxwted. 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 q1zxr 5 3y-ekgconstant 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 fall. Which15 q bv,fhtf4h4bnz,cw;1vws one of the c1nv s,f4v4wh;tz,51wbbqf hfollowing choices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second tr-d lf7e:gfx3 cip in two stages, I :dge7lc3xff -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 line completes a 20.0 second trip with5stlo j9o* it9 an average speed of 10.0 m/s in two stages. During 5i99s oo*l tjtstage 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 droe b3wlctz/zue,v7p ce1 5q88 epped from rest. A ball is launched straight downward with an initial speed of 36 m/s at a 5e8t8bl, ezvqc e7pezw3 uc/1time 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- ,jel ),olrv6odriving car races with a robot. The robot acceol oe6j,r)l,vlerates 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 positio vcqj-dou*fu41 xw 5gbw/+wfi0ymdg,yis( ++n of the ball 0.70 s after release is the same as its vertical position 4.10 s after its release. At what time is the object first at a verti+ ofdsdgw-5 wf 4i+yuwmi( 0 b/*cu+vg1 xyqj,cal position that is one-half of the maximum height it obtains during its flight?