94.01: Starting from rest, rtf:.j) hmruf.o1x 1zobject 1 falls freely for 4.0 seconds, and object 2 falls fretxz.j. mr1 uhof :)1rfely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to g13kx qtw/4m u9 zy9era final speed of 20.0 m/s in a time of 15.0 s. How far doe qz g3ywu1exr /m49tk9s the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. Imoa+7 4t 8fznut lands 6.0 s later with azfu 4a7 +tonm8 velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating verti3br,i8 *xix. uh jsr9pcally upward at b 3ir*pxjx ,riush98 .$10m/s^2$. 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 m5;t8tdjf 5k5 ifs,ttt,bgw o3 oving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving w ,dtk wttgs35ftoib558 ,f;jt ith a downward velocity closest to:

  95.39: A car starts from 0b ;hzh6r* jlyrest and accelerates 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 dropped from the tb:ald+ f9qdw58;k qrqop of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the bui58frb:dq q kqw9 +l;adlding is approximately:

  97.09: At a certain time, an object in free fall ha6ml c +(9cbyu esu3sk7s velocity 4.0 m/s in the upward direction. What is the approximate velocity of the obje sm 7c3 y9(+bs6ulkuecct one second later?

  98.14: How long must(c creucahl .n40 j. b.gcq+l- a $2.5m/s^2$ 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 at 18 m/sf8.vwfll+ 3d/vk jk. t. If it continues to fall, two seconds later the obfd t v.l/j+k3 8wvf.klject would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.00 s untj -vqu;dx/de 8il reaching th ;e8qvd xu-j/de ground. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upw-ke24tf)gn7k:hn m.d ,gnpx nard 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 represents the magnitude o) ehfk4gm:npn7dtg,2.n nk-xf 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 hgd us2 :w0ddxd,pv*/o )i efzmjn85 8launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does it take the ball to reach t d0ji,hp)ms gn2xdw85 fz8du o:e/*vd he maximum height from its launch?

  98.31: An object sliding down an inclined plane has sp owxw3xgz882nbz9.n+9p dm2l 6ldhi beed 0.40 m/s two seconds after it begins to sl lnlhizz 6d xm9g.+wobw 3d9x2b2 n88pide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upwarj450ju m,mvvtw9olgd/fk-3d d from the top 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 lamvvdk9lj0w/3f ju-t,g o 4dm 5ter. 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 twicxk1 11(ux6 /ldcyb rwv rpv;,ue the initial speed of another,uby6kd x (vvu;/,rx1pclw11 r how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck trave2)jd)tj-wtif zap px( i..f ly-nsb90ling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long doz-f n xbtis) f-9(2tj.jyld)0 aippw.es it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/,tdkf8cvadfb n*u/ ) :s near the surface of the earth. After two seconds what would be the direction of b,*k :)a/tfnfd 8 vducthe displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) aran lv:y61))fwacb 9hl e thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagramfanlv9l)6 w)cyba 1: h 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 ut z;d(oh+8 3-l-gspy c2of*/gfqly egpward 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, what is its maximum attained height above the lye2 *tdfg/g;hg8pfl o 3 -q+l -(zocysaunch point in terms of H ?

  04.28: A rubber ball bounceaef (vc-j .e)xs on the ground as 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 first and second bounce was 1 second, what would be the time between the second and third v)j.x( -efeacbounce?

  16.21: At 1.94 s after launch, a projectile in free fas g-aypb(n-z8sf1 qz .ll achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch frozab snq1- - p8zgsy.f(m the horizontal?

  05.02: A pebble is dropp c,1wsr2ng,x t* q+qzbed 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 did the pebble hit the ground? Ignore air *+rwt2zc q x1bn,,sq gresistance.

  06.03: Three students were arguing about the height of a p tuin.m 9qu gnzpxgqvh-a99 i59 wd*.w1. hwm+arking 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 m9*hha.dt1 ..x+5gqg99wpuivw qm n zi9wun- the parking garage?

  05.07: A snail is moving along a straight line. Its initial position is xrhjh9j j ib7,tb;v*4ychv0* x0 = -5 meters and it is moving away from the origin and slowing,yrv0v*hcj7j *tbhh jib x 94; 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 gravity (down the planecld/ ,u:y/g9dp u o6eo of the page) but is constrained to exactly follow each of the frictionless pathways shown. Rank these three paths from shortest to long,dl :6 duyu/oc 9oep/gest 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 97v yivc; hguv 40azdp;dky/ +the top of a tall tower. Half a second later another rock, twice as massv d+zdv;0pi4 ck 9yy7;gu avh/ive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart c2qmunque+f3 . omes to rest aft+ q2u3fm uqn.eer 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 coming to rest?

  07.11: A cart is inis.jz uf(b 9mw6z; m1latially 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 l( azub s1w69jf.m; mztrack, 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 constant accelt:6exgpout;1 mmr 599a m p ko1oi*mu4eroo1 x:ap ugm rkme *169motti9p; 45muation of 2$.5m/s^2$. How much time does it take for the dog to run a distance of $10m$?

  10.29: A ball initially at rest falls without air (ya8el8j: fevz8oij 7resistance from a height h above the ground. If the ball falls the first distance 0.5h in a j7e8zfyla vo88: e ji(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 the right. At ry xt 29c9hoefx 7(73..* sxrkryultptime 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 .fo*r ksy92yl. htp 37x7xeur(cxrt 9is 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 hemof 25 iaorp0 k,a6v*q4b po9night H above the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of the following choices best rea 5 ok2ia460b,vornfq opmp9*presents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upwamw cd:8zx5iu 5rd. The object remains in free fall until it rw uc z:5m58xideturns to its initial launch point. Which one of the following graphs could represent the velocity of the object as a function of time during its flight?

  14.03: An object is dropped into freeb+s4o*2nksuix 6* hq ure:nk0 xr0 )eu fall. Through how many meters does the object fall during the first 3.00 sen6urs sb2*xuonu )xq 0*e04e+ kihr :kconds of flight?

  15.02: A box uniformly slides 7.50 m to h u n5ptifka 4nkr0bgey94wp 60vn8(,rest across a flat surface in a time of 12.0 s. What was the initial speed of the box when it start y0tieb9,fpk5wvkua8 p 6r0g nn4(hn4ed its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 5hp3k8tt1h 5z xw,lo gm/s in a time of 3.00 s. Through what distance does the cart move in this time3lk 8thhow15gtzp x 5,?

  14.16: A toy car initially moves to the right at 6 r5z2oz )rgzo0 26nbw wy.dq2e0.0 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 tim)ozyq. owbrw 2 d620gerzz2n5e 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/s. Five seccj nh6 )fj)d8ionds later, the car is hd86 )ij)jf ncmoving 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 acceleration of the car during the five second motion?

  14.33: An object moves with constant acceleration starto k.qcmt.ih7.0ljuwx2un v 7;ing with velocity $v_0=5.00m/s$ 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 w 7 *mbl/cxjqg3:fj -y80y -becig wz5chile in free fall. Which one of the following choices best rep z-70me3qbgyxby : 5 glc*j- wcicfj/8resents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 cpi. ol t(k;tw,5zfi) second trip in two stages, I 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 fow t)5cf,.(iziolktp;r 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 z 6i mztdzw 95mu-.g.zline completes a 20.0 second trip 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 right for 12.0 secondtgzmdziu- 56z.wm. z9 s. 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 ofed8x59wyfnr + a high cliff, a small rock is dropped from rest. A ball is launched straight downward with an idnye + fw589rxnitial 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 ah.r* hdz +dcn 7uke9;j robot. The robot accelerates at+9rec7hn* hkdzd;u.j $8.50m/s^2$ 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 upward. The vertical position of t/z-es16w zub *igru w1he ball 0.7w6bu/zwi11 *g- rue zs0 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 vertical position that is one-half of the maximum height it obtains during its flight?