94.01: Starting from rest, object 1 falls freely for 4.0 secondwa an;nqxrq7,p 9o 3(xmt/ay3s, and object 2 fallaa9atwx m qn / 3yp7,o;qn(rx3s freely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly ai+lc8htny w 9*ccelerates to a final speed of 20.0 m/s in a time of 15w+ ntiy9l8h*c.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It lands 3peg(*1/wcjq/h xjsj hq6jtv 9i+gd66.0 s later with a velocity of 40 m/s. What was the initial velocity of the *vg66g/13 (sc 9jtxijhejp j/hqq wd +ball?

  95.27: A rocket near the surface of the eavj mn5zp1wanf * )6)lerth is accelerating vertically upward at paj5z v16n w*fml)e )n$10\;m/s^2$. 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 nxl pa* 3xi6;4s(ljna 27 m/s at one instant. If it continues to fall, one sec 6i;n pl*a(x3n4aslxj ond later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest andz)7lv8r mj s0d 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 e1pgr 7h ccwk4,+k h,ldropped from the top of a building strikes the ground with a speed+lkr1h7w4eh, ,cckp g of 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 free8tr-.b((vbiqjk. nl e fall has velocity 4.0 m/s in the upwar-e8( ( lkqtrjb.v in.bd direction. What is the approximate velocity of the object one second later?

  98.14: How long must a btr3qqc d: j)7$2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling obje-q o qjulw9i jxbbxynsnj+oj082,9); ct is found to be moving downward at 18 m/s. If it continues to fall, two seconds later tqxs- )yijj,uj;+80 o 9obl2wxjqnnb9 he object would be moving with a speed of

  17.02: A small object is released from rest and falls :3 -cipdr 60pfqu 5to 5ytht :5ocddn0freely for 4.00 s until reaching the ground. What was the heighp :5diu 0cq pt-5ot3o:tf6 nddr0ch5yt above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so that it ri4t9w 6gjfb /wdr .pdh22sn0dqx a)a9qses to a maximum height of 12.0 m above the launch pohra2g0 qwdf6n t49d wdqj9/2x)a.p s bint. 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 lahnd *i:clmjft cv8*-zruw, * (unched 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 do(l fv:8i,d nuc*m jhwt*rc- *zes 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 second ln985 f(s7cdx 7mvxups after it begins to sli xu7f79pncvdl x(m85sde. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tou;7mbx hcs4k+wer with a speed of 15 m/s. Coin II i+hxc k4 smb;7us dropped (zero initial 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 with twice the initial speed of0t1fzjo-fy 6iuz4 nw+ another, how much higher will itz-f+w no ytjf 6z4i10u be at its apex?

  02.30: A box falls to the ground from a :k e)ojm naq3u;(:p frdelivery truck traveling at 30 m/s. After hitting theep) rkf :u q:njm;3(ao road, it slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards withi)-7 pg j /wf;+ . 0puksadmfobn8efd: a velocity of 30 m/s near the surface of the earth. After two -db:i fpf;e/a+0ku o8 n) .fs7dpgmjwseconds 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 t0640 jfis de:qb ,xa uyh8s;iohrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass aniisu e4ob;yqfj0 as:h80dx6 ,d 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 identical linear 4bu1emwy qu o9idn ,56momentum. 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 hei od1 yi,m69n4euuw 5bqght above the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. Af: ti*tjnj( x2rqte3:iter 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 st(t 23tjjiqx* inr:e:econd, 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 mi/vvsc4 *6dsakc/ah(n nimum speed during flight. If that ac6( s/kd*4ac ns/vvh minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is drop) 6l5at gu/wg6a 1bfphped from a high vertical cliff. The collision of the pebble with the ground belg agbf56l p/twa)u6h1ow 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 ph68j3h jp(iqh 4uudu.pm m3) qarking 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 t63hh8hm pjuuj(p)4dq iq.mu3he 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 injt ;auh* b4q-e2wztoo3aw-* r5s nen2uok8z)itial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs ofnq582u et-ezoor2z3t4hna **wk;osuw ab) j- the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down tz41uu6 prze cd m,l)8the plane of the page) but is constraine)8td ,pu c4zmlu1rz6ed 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 v9hk ifg6;5uk,14jz3u h; zef;vuyo s top of a tall tower. Half a second later another rock, twice as massive as the first, is dropped. Ignoring air f5k4ku6ou hfuz;z ;yh;,i 9 jsev3v1 gresistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comes 4ra z.6 +ji7k0ar lwl *3wh ykfy7cwa1h7g7ykto rest after traveling 1 m. The experiment is repeated on the same track, but now theahkalw yl+ 707wcg14*y akw776 .jizyf r3 rhk cart is initially moving at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0ccf (79 ldwckv 6hur92.5 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 before coming to reshu7 crc c(69 92wkfvldt?

  08.03: A dog starts from rest and runs in a stra8bzc/9y:izg ./xi ugfight line with a constant acceleration of iy9.zigc//u: 8 bf zxg2$.5\;m/s^2$. How much time does it take for the dog to run a distance of $10\;m$?

  10.29: A ball initiallrq*l zo; j/ysqd2 3pk-y at rest falls without air resistance from a height h above the ground. If the ball falls the firslqyr*/-k3 dopj2 ;zs qt distance 0.5h in a time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects box+ x2 g,)grzdzth move and uniformly accelerate 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 the ratio of the distance traveled in this time T by Obgrg+,xzz) xd2 ject 2 to that traveled by Object 1?

  12.26: An object is thrown hy) ,5ln2ul epqorizontally 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 object’s flight to the groun ny2q,p5 lleu)d? Ignore air resistance.

  13.10: An object is thrown stra:gda1iwnq3 d 1ight upward. The object remains in free fall until it returns to its in:id a qgd3w11nitial 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 hobr2hm2rxzx)wi .9 7ypw many meters does the object fall during the first 3.y pzrw7hbxx29.mi2r) 00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surfae ej9ab +fvp98px.t1jce in a time of 12.0 s. What was the initial speed of the bo+vet1.bp x8jfj 99eapx when it started its slide?

  14.07: Starting from r6 v9 b98m.xzcxb9 byjfn8s f8yest, a cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 b.9cv bxsn jy99f 8b8m6x8zy fs. Through what distance does the cart move in this time?

  14.16: A toy car initiv rxs q/5i,r6yn1gv- rally moves 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 started. Which one of the following choices best represents the magnitude of the average velocity of the car during the five se5/rgv6irxq1- ny vsr ,cond motion?

  14.17: A toy car initially moves to the right y-4vm+ rxo6u,pi3w yxat 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 startedy4wx36r , u+ymi-vpox . 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 ( d 5r dj6ipjno7xt1y;er 3ph6starting 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 f 2e -vmehoctr56xsz1a(/n 7pgall. Which one of the following choices best represents gm rv 76(h5ep txzcn1-e a/os2the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 secj/y e5kwtaasa2a1wy7n; jb58 ond trip in two stages, I and II. The average speed of the entire trip/kew 8ynaaj21 b5yj5;s ataw7 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 seco5p/d. o,d.irbvvcgg;;x ,j4yh tx8b z nd 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 seconds. What constant magnitude accelerationb ..5d8b tvxg 4dr jhxgcpoy;/z;i,,v 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 fromyf o4 xb8b,ga6o)hl9l-v4b j wcrt6y *zox::c rest. A ball 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 thabc4x9t:8y4bf)jr*6 cz bwolavo hx6:-o, lygn 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 acq72*dmhoe,sm celerats o2eqm,h*md7 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 verti d eifixyh-8j:y40a(x5z7f/ .hb prg jcally upward. The vertical position 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 zdb/0faey:(x85.47x hgfrjyj i hpi- object first at a vertical position that is one-half of the maximum height it obtains during its flight?