94.01: Starting from rest, on0mri3-jo da:he 1pd7 3ay6we bject 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, obj:y ra6p1jom we a7i 33n-0hddeect 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a finfv 3 a;sb3ytwqd;; bt)al speed of 20.0 m/s in a time of 15fa qwbt3;)tbs; yd;v3.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity z;3kklpe3 x.9xd qkm3ha0f j7. It lands 6.0 s later with a velocity of 40 m/s. What was the initial vee3a lkf3qd0xh .z m pk973x;jklocity of the ball?

  95.27: A rocket near the surface of 5knbw( kmt v 9,xny,q3the earth is accelerating vertically upward av, 3bnk5yx w(,kq9 mntt $10\;m/s^2$. 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 ao9ox)u5t veat,7/lh x t 27 m/s at one instant. If it continues to fall, one second later the object would be moving witheut)v xo5 / ,7atol9xh a downward velocity closest to:

  95.39: A car starts from rlya0 );es,u+jbqln j3est 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 3+tbt,wdfm o:p dh +3w(zdz/c69jvq wfrom the top of a building strikes the ground with a speed of 30 m/s. Assu op:+fbtzjwd h36dc3mqwzw,d v+ t(9/me air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall*qnx4splb9.w has velocity 4.0 m/s in the upward direction. What is the approximate velocity of thbp * 4x.q9lwnse object one second later?

  98.14: How long mustxm,zaetj 29 8q a $2.5\;m/s^2$ 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 tof 5d2 )wblqbu4i/ gf+(naq+ve be moving downward at 18 m/s. If it continues to fall, two seconds later the object would be moving wb++bqq nd (2/a)vi 5luf4egf with a speed of

  17.02: A small object is released from sk /md30swr2brest and falls freely for 4.00 s until reaching the ground. What was the height abo/2wkdbrmss 30ve the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is+1 d;of7tt9v8dh-o j,b zhsa b launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air +-b;71jo asov,d hfdz h9t tb8resistance. 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 upward s m ff;e6xbq v prtbp*x3d537g2o that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately e5;btf*x gpbr3qm7v x3pd6 f2how 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 .vpskxo5w;c j bl9j)0m/s two seconds after it begins to slide. Approximately how far does b90jc5x k;wl.svp ) ojit travel in three seconds?

  98.40: Coin I is thrown ujm/ t-mk5qd3lpward from the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from thk/-d j qm53ltme 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 idr2flr; .4b5 iqi fu/unitial speed of another, how much higher will it be at its apex;iif5l 2d. uu brr4f/q?

  02.30: A box falls to the ground from a delivery truck i3hvqx kbp),2 traveling at 30 m/s. After hitting the road, it slides 45 meters to rest pqbihk),x23v . How long does it take the box to come to rest?

  03.29: An object is t5-/bur xnwh;u4. hcsghrown upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity nh gwu5.bc-ux;r/ s4hand acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are th*xat7 :g -;r0ooh r mbe,i2zck b:glq6rown vertically upward with different velocities (1v, 2v& o;06m -ogl:b2z ig qhbc,r7t x*k: aer3v respectively). The diagram 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 upward with4apod 5ih4-pv 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 launch point in termv4ipodap5h4 - s of H ?

  04.28: A rubber ball4c 8gy9un6ckc bounces on the ground as shown. After each bounce, the ball reaches one k4c9cuy68 gnc-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 bounce?

  16.21: At 1.94 s after launch, ay6i7z vs,. nvu projectile in free fall achieved its minimum speed during flight. If that minimum spees6i,v. vynz 7ud 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 cliff. The collision of01:-fw w rxcce 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? e01-c :xfw crwIgnore air resistance.

  06.03: Three students were arguing about the height of azq;b tor)k01m parking garage. One student suggested that to determine the height of the garage, they simply had to drop zo)qk0b ;t1rm 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 initial position is x0 = -58wlrc d-r*k o9 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial-w8cd*krl9o r velocity and acceleration, respectively, are

  04.38: A small point-like object is h6: hzehx3(uk8.kh gs pulled downwards by 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 r.gxhh8(6h3h:k szkeu eleased 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 second later anoth9 j0)qlkrn16 h xnuiqtxxsr652 5r f4xer6 hqri45ru0xkl1q n9x 2nsfrxxj 5 t)6 rock, twice as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a t*r msdb /o ea.)6 hrb:dmg6,zhrack. The cart comes to rest after traveling 1 m.6).o6rbdm gzs,:b*hh /e armd 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 initially moving at 0.5 m/s along a trac ow(3 g( nql;;. pqkj(ccuthj*k. 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 1j3 wl(pnujcg c;h;*o .qqt(k( 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 co3 homfht3gdr7,5ui 8g nstant acceleration of 3r,o3 5thmhug dgif872$.5\;m/s^2$. 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 h ya+9puw4voh04 o tcv.eight h above the ground. If the ball falls the first diut+h aoo9pv4cy . 0v4wstance 0.5h 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 t(mbct;+m:xwi 2bk5k+ 0ozp pbo 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, the2t 0m kw ippxcbbkb(m+z5+ ;o: 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 thrown horizontally wih+3 t tww.g.cith 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 t.ti3ww g th.+co the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in free f 8su)a3hpwfd dwek;-3 v 37fejall until it returns to its initial launch point. Which one of thee w- evsadf8 j;f7)pk3uw3 d3h 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. e0/t;t aikpimt d-n q72( es:hThrough how many meters does the object fall pt: te7 -mikieh 2(tnqd0a/s;during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surfl8(a7b 2yficu ace in a time of 12.0 s. What was the i78 aul2fb icy(nitial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a vk u*/1uht gk- 1vx,tcpiw6ru c6m e4/speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move in this tim1c pkur/6 16 c4em-/twik*h vtu vg,xue?

  14.16: A toy car initially moves to the right at 60.0 cm/z j270ykushuv:dvm-/ 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 v7:hyjmk/2suv 0 uzd-of the car during the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s.va k* csz:9m5z 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 le9zcmzv :k s5*aft 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 startin8y fy)xruo-uh cv ptn6*q3 (o/g 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 upw .3qiyi1diyk 2p +aybszgw3d9u2qy1 z 6*7zntard while in free fall. Which one of the fnd 7gzyzdpws*. 3q3qb y6yyi29ut 1+1izik2 aollowing choices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the *0 kaihut:3sqc3t q 5bright completes a 20.0 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 for 12.0 seconds. What constant acceleration must the ockhi tas0q5bq: 33 u*tbject have during the 8.0 seconds of stage II?

  15.32: An object moving along a line comp4m cesmlg*1;ha.s nn9o-vect e8 (0sxletes a 20.0 second trip with an average speed of 10.n.vo em* (cn84scge s-hmsxla9; t1e 00 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 of stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from rest. u+ pz+7k 9wyev/cx ;lh4b3jsy A ball is launched straight downward with an initial speed of 36 m/s at a time 2.10 s after they/l9 3pj+uc+ ev b4kxyz;sh7w 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 rzf(yce,n(:jlu *r v) robot accelerates av (ruf( cjz:)lr,y *net $8.50\;m/s^2$ 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 position of the b1 mknm xr2lz fgf )82x3ktz6o)all 0.70 s after release is the same as its vertical positi26xmfr18z t)k3ozglfn )x 2k mon 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?