94.01: Starting from rest, object 1 falls freeq3syp+6fax llztdh pi/5 k63+ ly for 4.0 seconds, and object 2 falls freely for 8q5 iflld 6 app+tz36y/h3skx +.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and unif/hluf2 l b lj970sjh2eormly accelerates to a final speed of 20.0 m/s in a time objlj2e 7 l9hfls0 hu/2f 15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no(dt4 kke rc-3q horizontal velocity. It lands 63ket d(4qkcr-.0 s later with a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surfx* jfwho/ -qh1ace of the earth is accelerating vertically upward atfh*w jxq/1- ho $10\;m/s^2$. 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 i4n2k dpygan*/kxzkvw65qac +f +b e85nstant. If it continues to fall, one second laterxkkca8*6eg zq dn y2na+ w/+5kpf54bv the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and acceleratem7ng3ti. ly3k o+b icoa y-+5as 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 droa +)ltfm6b rqrn3h(i7 pped from the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The hei +nhf ()rti36blqa7m rght of the building is approximately:

  97.09: At a certain time, an object in free fall has veyn es)35nha-oosgg; 7locity 4.0 m/s in the upward direction. What i;gy-3h 5sag osen no7)s the approximate velocity of the object one second later?

  98.14: How long must 6l 6a6u9fsohtt kqg:3 ;m2tnua $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is 4uhq: -;doz wwp)ssnj.y -kv) found to be moving downward at 18 m/s. If it continues to falw s hov4.sz;jkp)d- yqw:)un -l, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.005ie5u dpf1 i-r5 mx0do s until reaching the ground. What was the height above the ground from whicheumdd50 x-5opi 1f5r i the object was released?

  11.06: A ball of mass =0.100 kg is laun1)p j,vo7rfelched straight upward 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 fop)lv7 je1,rfo llowing 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 launche uo 6ccwb+m;b(5zj.ihd straight upward so that it rises to a maximum heightc.5h( m i;+ocjbubw6 z 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 its launch?

  98.31: An object sliding down an inclined plane has speed 0.40 m/s tgm v0+8 gkh1 otj4(.i jd)z(x0vwx fagwo seconds after it begins to slide. Approximately how far does it travel ijhm x)t .oifgvzgg0(x8 ( +04jkvd1wan three seconds?

  98.40: Coin I is thrown yfqy+i rdq/d /brmd7//5j7ik 2- s7bactod3x upward from the top of a 100-m tower with a speed of 15 m/s. Coin II is drqjdq rcr+/ fm bsaoiy/yid/5-td x27b7d3 7/kopped (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 initd( z6 g5/v e6pe2isrquial speed of another, how much highi dpeu 5se/6r6 q2zg(ver will it be at its apex?

  02.30: A box falls to the ground from a: x,fg fp5 l69ez9kfub delivery truck traveling at 30 m/s. After hittx9f p: 69,elfz bgfk5uing the 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 with a velocity of , y9m6(1p)auihdx9ie0-jfi; ejv *i4 yiaqvx30 m/s near the surface of the earth. After two seconds what would be the directiqi e u-)iy xv94*j91e ;0i hfipvx6jy aa(,idmon of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically upw +,my/gbxlg s)ard with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and ,b+sg/gml) xyvelocity 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 la0w 7u;x1wu* ym- * v2emarem gg6efjr-unched straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the -g 0 wfemu2w; au*-veer1m7yg mx jr6*launch point. If object 2 has mass 2M, what is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bo 0a x n872j:ytqdbvrm3 5v*zshunces on the ground as shown. After each bounce, the ball reavzxat*dj bhrq8 5s2:vy m7 n03ches 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 bounce?

  16.21: At 1.94 s after launch, a projectile+e;dwff60enad 1 kyr /b-3bpo in free fall achieved its minimum speed du6 nwd/ekf pr+yabeb1od 30; f-ring flight. If that minimum speed 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 c*u4frqv7vdbcl +e9 6d5 zhrk3ollision of the pebble with the ground below is seen 1.50 seco *d 6dh3cu7vr5+ 9fvqzleb4krnds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were argutvx2 (vtc7/lc ing 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 t(c/c7txv2 v lto fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its nq r49-9qtxgok+nz ) binitial position is x0 = -5 m qok9z x+4qb-) rnnt9geters and 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 do1 d)pi :dvpumfo8m0pu1 3utm .wnwards 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 directio3u):.ppd101uv di8 u mfmpmton 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 ano9xwmcx) tduqe48b 6 i wj19 p o9-0maz0ftc3aother rock, twice as massive as the firstmxd99f84bt9 3 oam ujpq-o1a0i0tz xcw )6ecw , is dropped. Ignoring air resistance,

  06.18: A cart is initially (asm7p+dn h6 dft:m co *:4tzdmoving at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same trad:(4ttcsza:od6 hp d 7*+m nfmck, 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 trace;w. n8mfz 8dpgkf 53vk. The cart comes to rest after traveling 1 m. The experimentv5emp3ng 8ffk;z8. dw 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 in a straight line with a constant*ww d;jl:tzg92 hip -kpmg c7* accelerahk cdwjig-p79*l w:gtmp ;*z2tion 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 withantqy b.m:7ajf1:*um out air resistance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the remain nym:q af*tjam7:1 .ubing distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate : vkt20a1rv5/*za b yspd*zlq 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 :zr21dsva/p50 b *azvkq tyl *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 fromg*q:-q ;o0q4w depcmj* *lww*g:j grv a height H above the ground. The object reaches the groundmrv-:;qo pgg 4j* cldjw qw0 **qe*g:w 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 object9q5r tra/ o2 wgfbp7(d 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 a function5arwrq/7p9f go dt(b 2 of time during its flight?

  14.03: An object is dropped into free fall. Through how many metersnej/x8z9jr mm7t v7/h does the object fall during the j/ejmx 7/vz8trm7n h9first 3.00 seconds of flight?

  15.02: A box uniformly slides 77kjzw.z653 cel- hk ae.50 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of the box 5z 6c.k7l w ha-jz3keewhen it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 mjm6;(+s*0c52ulcwpe k xcl mq/s in a time of 3.00 s. Tqw cjsu*;mckm2 ll5 6 cx0+p(ehrough what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Fivkzv( jr.jmk2q/8b pfc 0 7ci6le seconds later, the car is 70pj r/ml 8f c2.qibkj( 6czkvmoving 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 second motion?

  14.17: A toy car initially moves to the right at 6+ x kx)s*w(sir7wx xhn: )5.aw kb8ndt0.0 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 acceleration)x5ds+x rn nkh:w. ta*87 b wks)x(iwx of the car during the five second motion?

  14.33: An object moves with constant accelera j)k)3pw t;kvhtion starting 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 upwo3m3se2*i0ixb qbfr,dmw 0z 1 ard while in free fall. Which one of the following choices best represents the direction of the object’s acceleration durin, beixmiq13*s w0r 0o2 b3fdmzg its flight?

  13.26: An object moving only to the right completes a 20.0 se3wehe0 -t -5ehefqz: econd trip in two stages, I and II. The average thf -e5- hz:3qw0eeeespeed 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 object have during the 8.0 seconds of stage II?

  15.32: An object moving aim ;vee+grra s - j7hz5dkban )o-8:(rlong a line 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 seconds. What constant magz8 keah (dn -gb7-v)o +m5jrira;:sernitude 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. A 6c;:kn2 4e ;jy6jpqul t q9ataball 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 than the initially dropped rock, what is theajqt2u qptc6k jn4a:6;;le y 9 speed of the ball relative to the rock?

  16.36: On a straight road, a self zo3(t 28urigi, rat.g-driving car races with a robot. The robot accele,.z3i2urag i(tg8 ro trates 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. The vqa kv;t 81 ww,xs8x-hvertical 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 h qx18 w,x;-v8vkatwsis the object first at a vertical position that is one-half of the maximum height it obtains during its flight?