94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and objectw, kfy) ovs, 8qv;5ek9fb flf7:hkyb5 2 falls freelw;5kklv b,e offq,:vsbhy 7kf)8 f95yy for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final sirwr 0 q7.lle6mit 8b6peed of 20.0 m/s in a time of 15.0 s. How f6qtb rl.lm i0wre 7i86ar does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It lan zuio elvrb f*8rq59z:9,n* ngds 6.0 s later with a velocity of 40 m/s. What was the initial velocity of the bargl *z r8q9fn*ub:9oi n,e5v zll?

  95.27: A rocket near the surface of the earth is*nucq4k8 m6spo)w; ge accelerating vertically upward atwc)eqkn6sum8 go *; p4 $10\;m/s^2$. 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 movi xqc7w1w 1pqe2ael8c.q 4 :ckbng downwards at 27 m/s at one instant. If it continues to fall, 8q:k1qqe4.2aw1xe bc7plwcc one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accele o3w7 z )ym-cdkueu7/urates 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 0g(qm mi( j51-*hv31dzb22p*pkxy olrgo owk top 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 approximatob*pv2zkrhm im lqpgoo*-g1 3jdx5( 2k(y10wely:

  97.09: At a certain time, an object in free fall has vel;;3 g-uof haldpw1(t9ro,ewo ocity 4.0 m/s in the upward directiogtwr oefo(l h ,;;pu1d-9w3oan. What is the approximate velocity of the object one second later?

  98.14: How long must a m f6;3hhox dys5 x-2gemdvr5+ $2.5\;m/s^2$ 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 18 g qx -krpkv,xb(pdel/n(0f:.m/s. If it continues to fall, two seconds later :-gd(nvxkrle qpf b,x(p. k/0the object would be moving with a speed of

  17.02: A small object is relea 8mt 0chdrr /9nr*2whbe m+rx0sed from rest and falls freely for 4.00 s until reaching the grouh9rdmxctr wh/r0b +8rm0 *en2nd. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kgfcor mjuby*zkq j y* +:(6,he7 is launched straight upward so that it rises to a maximum height of 12.0 m above the laujz7yr,j6(h embo q:cf *yk+*unch 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 =0.100q5t+m(e0, 6tvptcx zz kg is launched 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 the maximum height from imtp5 (q, zvz0+ctex 6tts launch?

  98.31: An object sliding down an inclined plane has speed 0.40 m/s two secondz 9 8hl4ypteal6sz ih0f3s 7y5sja*vsc*3bz)s after it begins to slide. Approximately how far doz4sl9zb*ajhvsy i6z) h*teyal s8 c5p33s07f es it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a spaq(af 2/ 6c +z,gw j:moyi(o3xnzw-csi.ki6weed of 15 m/s. Coin II is dropped (zero i k6g yjfw.qc+(o o6 3w a,si-w/iin2:xczza(mnitial 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 thwxyy a5y*a abcb7;3o9;r5 jjwice the initial speed of another, how much higher will it be at its apexj;c woyahxab r5y53;by7*9ja?

  02.30: A box falls to the ground from a delivery u6 n7zrf+yfx0i9htd/truck traveling at 30 m/s. After hitting the road, it slides 45 meters toif x hzyfut+/nd69r7 0 rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30a7x,.xzd hx65h eegsq2*yv/h m/s near the surface of the earth. Afterv 2z7hx, 6agx 5hsx*ed.ehy/q two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m&ao790hslijvz/kk x9 2 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rank from high to low thexl/j k0 zavisk7 o992h maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upwardmexzr :d;9p (2o 9umsh with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 hasxeup(99ohsdm:2 r m z; mass 2M, what is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as sdq2.30g. dl( b2kr/- ma rqqrqmg 2qbmhown. 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 thi.d.(rq2kmq2q2 r0-m g d/qqra3mb bglrd bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achieve2+n sc;cy5 mqld its minimum speed during flight. If that minimum speed wamqln;5y+c s 2cs 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 collij1av:cvqd c nk *n*0e5sion of the pebble with the ground below is seen 1.50 k q1ae ncdn*c0*v 5vj: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 parking garage. Onen-bj2fs1l n7d 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 garasn7b2d fn1-l jge?

  05.07: A snail is moving along a straight lin 6r/ibp yme+ xboj)50ke. Its initial position is x0 = -5 meters aj/rp 5o+) xybmibek 06nd it is moving 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 dl,kb8tvd3 zude ae 3.8g9n8e6c/d tu 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 released from rest at point A and travel to point B. Assume that in changing direction that thereu 8ae 3k z9uetddb8.g38vd/dn ,6lcte is no loss of energy and that it takes negligible time.

  06.13: A rock is droppea xvljpu;e j p u;md.m- 8uu6zl(a2,r1d from the top of a tall tower. Half a second later another rock, twice as mazlu p6p ,.je(8r m2 uaduj aulvx;;-m1ssive 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 comes to rwgw:1t hpg ru/3oj8z j .wf(f2est 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 comingjgut(w ww 8o:z /.rf3f1j gph2 to rest?

  07.11: A cart is initiallhq5p /doe* d lex98xa2a0+uady 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 track, but now the cart is initia0adx*/e 5l d paxqe+u29dah8o lly moving at 1 m/s. How far does the cart travel before coming to rest?

  08.03: A dog starts from rest and r mpxl )/2yxa7:1ymd-ppoj(qk uns in a straight line with a constant acceleration of l ykqy/opmx)xp 1j2dm pa: -7(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 resistance from a height h a4j;* xdylr+6g/kluyp ) cbj+o bove the ground. If the ball falls the first distance 0.5h in a time t, how much timjgokyl6bc u;jp y+ /4rld)x*+e is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to 6;vfuq8dtd kc4v/k l5u e6v2h the right. At time t=0,the objecvf8 cuu/;6 kvhlq2dv6e5kt4 d ts 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 Object 2 to that traveled by Object 1?

  12.26: An object is thrown horizontally with speed 10.0 m/sl87 letixf)gb4, mud: from a height H above the ground. The object reaches7dx: l)fm,lg ibt u8e4 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 ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The o-/y( n a5bhcstc-t mdrl.w/-dbject remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object as(-m a-s 5/n/y-lhdcbr.dc wtt a function of time during its flight?

  14.03: An object is dropped into6n. onep p0ux( free fall. Through how many meters does the object fall during the 0pux.(6oenpn first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m t,0 cxfh)kvhe )o rest across a flat surface in a time of 12.0 s. What was the initial speed of the box whee h)vx)c, kfh0n it started its slide?

  14.07: Starting from rest, a cart uniformly 8 +1z xke guo 4rhu 8lcq*jigwcaj6/90accelerates to a speed of 7.60 m/s in a time of 3.00 s.+zixoc01a8 u49/eqhj*l gk8c gwuj6 r Through what distance does the cart move in this time?

  14.16: A toy car initial0+8 nbns*tg ftly 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 choic+fg nsbt*80ntes 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 secon 4 iy;zi.jcj(yds later, the car is moving at 40.0 cm/s to the left. Th cijy j;4z.y(ie 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 starting a-ve. 3pk /rstw;cm/n4uzx8mwith 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 initialcclvq v/yhw +ild7a252 5yg :dly is moving upward while in free fall. Which one of the following choices best represents the direction of the object’s acceleration dur ywq:a55c22hy/giv7dc lv+ld ing its flight?

  13.26: An object moving only to the right completes a 20.0 second trip in twos c./l4+3dcm zm0uhelwi ,l fdw5*6mo 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 1swcudi +3dh6zmoflm lc0 ,lw45 e*m./ 2.0 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 witu3vlwon g f13:zi;i6yh 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 t 3zi yln6;w:3 u1vgifohe 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.yzf*jd8psix+ 1r 3+ 0zm ph2 mlz:8kjt A ball is launched straight downward with an initial speed of 36 m/s at a time 2.10 s after the rockzlzz+smr2:+m 1p* kdjpx0yi3 tf 8 j8h 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-drivink34kx3ko3glu0+;)b uus jw dj g car races with a robot. The robot accelerol3 d) 4x3k 3juug+;k 0sukbjwates 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 v;fyu5mlb q3e5ertically 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 timefmyu 5qe3;bl5 is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?