94.01: Starting from rest, object 1 falls freely for 4.0 seconds, agr puba6 *lb *b(ptywe,1o34s nd object 2 falls freely for 81e*a3lgop6yw(* ,b b4r sptub.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final s /6wrk au-c;vqg ra,+ipeed of 20.0 m/s in a time of 15.0 s. How far does the car travel during this t ir;uarag vwqc6 k/-,+ime?

  94.03: A ball is thrown off a high cliff with no horizontal veloci pc:r)wsa0;)en h7 tlkty. It lands 6.0 s later with a velos)w0: ncl)eht ; a7rkpcity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the evvw tnz 4f6k 1igj l+:sk4l j)/gh-l-zarth is accelerating vertically upward hl-f k jzzt wg6v jls /44l1v:k-gni)+at $10\;m/s^2$. 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 i ck/ ui6 db,b8w0ems/xnstant. If it continues to fall, one second later the object would be moving with a downward velocity closex bswuk bcd ,m86//0iest to:

  95.39: A car starts from rest and accec q. k;/-ly,+kx3/ibhk iawxm lerates 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 ground w;dje2vsl laugqqf7i *rgsav 35 2.o-+ith a speed of 30 m/s. Assume air resistance can be ignored. The height of the75q;egl d i*q.3lv s2as +jrog 2vauf- building is approximately:

  97.09: At a certain time, an object in free fall ha0 1yis)hj6 ,cix;/ wyogg7ssas velocity 4.0 m/s in the upward directs1oaxs)g ,i;icj/7g6s hw 0 yyion. What is the approximate velocity of the object one second later?

  98.14: How long must a i) gevlnd s4v(vvur)6,p + q/m$2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is foundy3ih) a +d ay.7m06ah9jeo nzh to be moving downward at 18 m/s. If it continues to fall, two seconds later the object wonaia79 jh 0hzo ey.6 mahd3)y+uld be moving with a speed of

  17.02: A small object is released from rest and(vci 6e8 41iz,t g 2b(ukkykkk falls freely for 4.00 s until reaching the ground. What was the height ai4k2k ((bkzu6 c k1k it,ey8vgbove the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so that it risesek1sr (za5 /em to a maximum height of 12.0 m above the ls1ezr(e/mk5a aunch point. Ignore air 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 launched straight upiubmfy-1;6gqu evo,wk4bmx 2q5q;. rward 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 t.51mu 4o ,qbv6gwrf-keux;iq; mq 2byo reach the maximum height from its launch?

  98.31: An object sliding down an inclined plane ha2wosobo0xz*6a2 j6gjzwk30t s speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in three seconds?02bw gz6 zoo0jot2jas *6kwx3

  98.40: Coin I is thrown upward from the top of a 100-m tower wiao0k*j2*g ;2y sdj vxhth a speed of 15 m/s. Coin II is dropped (zero initial speed) from the to2s ;g0k ja**2hjyvd xop 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 upwards1aqc9j-asv 45.g1f t xztbts2e7 i.lo with twice the initial speed of another, how much higher will it be at its ape7 5gxt.-4 l tztfaiqsb.11csavjeo9 2x?

  02.30: A box falls to the ground from a delivery trqd-2r hcmrvp4l jo5xl* g 3bx/d ui+5:uck traveling at 30 m/s. After hitting the rjx +gu d5m:-xi2pl ro5 lh4dqb/r3c*voad, it slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards hor 78o(rdvuw8ew:8ao )r ti v a9/ed9with a velocity of 30 m/s near the surface of theie vv8hr8d dworeao(a 98):ur/9t7w o earth. After two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mt zk21z9tg1 0ay rmx,t/xpd p9ass (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. 9tyt,pkgr01xzxp 19da t 2mz/Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight up498iga. . xjs6p(did yrhqz( vward 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 h9 i(.v68zqrhdi p4as. xjgyd( eight above the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. Aft 7wmkh:v;b5bnl*:/ket lo4ppq/ae (a er 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 bou;meq plte vb* wk5 nab/p/:4ao(hk7l:nce?

  16.21: At 1.94 s after launch, a proj huvllq /919/9uxzdtbectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initiall1/u9hd9u qxztv b9/l angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The col46j4y y,prgbz)*n k ygr,z8mulision of the pebble with the grg,, *rrm8 gn4k yujz)6bp4y yzound 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 m1-b 7lx g:oaho7k) /frzqdvd:,1m pv 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 ball to fall was 1.4 secondg:7:/v, mz o v o prq7akfb-d)11xmlhds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initial position2cy4j: mfq+nfv )l1 te is x0 = -5 meters and it is movingmfl)v yeqt j2n:+c1f 4 away 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 bxfse+6q o b /9niz7:xtzptz rm 72x,v64c.yuny gravity (down the plane sx:vtx t,qc6 f nz. yob/u7z+6n9m e7xrp2i4 zof 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 is no loss of energy and that it takes negligible time.

  06.13: A rock is dropped from2pyy4 g53 , ibm6czanu the top of a tall tower. Half a second later another rock, twice as massive as the first, is droppu4b, mn6z2ygcp3ay 5ied. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s ym:ccfxm.gk0 ,bn5 e asih ,(/along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on thnfsy agkbc:e.xm,0 /( 5,h mice 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 initiall8j70lukndj ;vqurq6.y moving at 0.5 m/s along a track. The cart comes to rest after tr 8ud;q 06uv7jlkqn.j raveling 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?

  08.03: A dog starts from rest and runs int8b1/kmfhy ltqzg-n9:75j vg- o/qm w a straight line with a constant acceleratitj- 1/y 589g:t bzkwf/qq7mm ho-vglnon 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 rju69pglc3 u8 oesistance from a height h above the ground. If the ball falls the first distance 0.5guol63j8c9p u h in a 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 time *7nbgc+ wq0byb64pfx t=0,the objects aqf *0bp+g b7w 4xnby6cre 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 the ratio of the distance traveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is 6piav(.agl)aw16bp az)x ,j qthrown horizontally with speed 10.0 m/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 o6 vzxaiaa,w (q)g 1lp 6)ja.pbbject’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains2 lfns;p xai ;m:9v1o,khhcw t8n9oc* in free fall until c ,9i9;snkcfa tn oxh2pv 8wm:1hol; *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 its flight?

  14.03: An object is dropped into free fall. Through how 4r:wwriqh, /vbv4cs+ many meters does the object fall during the first 3.00 seconds o riv+h, cb 4s/q:4wrvwf flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a timsykv3wexqq7 t,wv* 39 e of 12.0 s. What was the initial speed of the box when it stavsq*9q, wk3ex3yt 7w vrted its slide?

  14.07: Starting from rest, a cart uniformly acceler )h760rhnkgo xates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart movh7g )o h0rnx6ke in this time?

  14.16: A toy car initially moves to the right at 60.0 cms- -;w8agqu3y r 9k cajvl*ii3/s. Five seconds later, the car is moving at 40.0 cm/s to thvrk9aqu3-j8*wg 3li s c;aiy-e 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 during the five second motion?

  14.17: A toy car initially moves to the rovt4mmtrl3 dlwk8 m(m2n ;/x3 ight at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. Th( tm3xmtkd 2;/wmr3n mv ol84le 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 e; jqyx ;sq17wstarting 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 wdvyyco ( +bq.np0 /n,jhile in free fall. Which one of the following choiqy n+pvdncj o(/0,b y.ces 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 ss;3mcm e q2d*lq*pt4 t0jr;mr econd 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 m2*mm tp; l3r 4q drt*0sjcqe;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 an averxyq l+o1h)v.f age speed of 10.0 m/s in two qfx1o+v.)y hlstages. 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 of stage 2?

  13.33: At the top of a high cliff, a small roc;r0imoegpu - 4k is dropped from rest. A ball is launched straight downward with an initial speed of 36 m/s at a time 2.i4mue-p o0r;g10 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-drx1 zejy9fc, m8iving car races with a robot. The robot accelerate9xzjfy81 cm ,es 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. ww9uut* awt+ 4o ,40n2hgwpu yThe vertical position of the ball 0.70 s after release is the same as itu+py4u*twwwg2 othu,9a0 4 nws 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?