94.01: Starting from rest, object 1 falls freelyf zmj/0n0rm a kv 1/ov 1p;z)yqp(ge*q for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1)p1g (yrmjeam0 q0;qz*/k1 o /vp fnzv, object 2 falls:

  94.02: A car starts from rest and uniformly 6 nv/v bg(qu,yaccelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the gy6u(nv,qvb/ car travel during this time?

  94.03: A ball is thro 9az(hq2/ y.j+ ynzgxown off a high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity /q2(y9yh+a oxj zzg n.of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically z.b juxyr ;qc k ,r;y8*zt vvj/3a;z4kupward az8 ; 3 r cy.akyz;k*,4bj;r/vxuzjvq tt $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is foundxkyy -nnh( vz(um; 5-p to be moving downwards at 27 m/s at one instant. If it c(5nzvu(; n --hpkyx ymontinues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accd8*1aw6ter/vy*v:y 7 ounz ezelerates 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 wit sa,l9gsar .vsgmfni;y ),( .mh a speed of 30 m/s. Assume air resistance can be ignored. The height of the buildignm(.al,gssav;f. , 9mr)ysing is approximately:

  97.09: At a certain time, an object in free fa0; s/buvu sg nbw4-jtdwl+r-4ll has velocity 4.0 m/s in the upward direction. What is the approximate velocity of w;/v4dgn -wbtls-r4uu 0b j+sthe object one second later?

  98.14: How long must d.6yd1df uxo63kmez / 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 to be moving downward at 18 m *r 76hkwybr,qx cx7vv 6)gb0i/s. If it c6*,xby6 i7k0hq 7r) r bwxvvcgontinues to fall, two seconds later the object would be moving with a speed of

  17.02: A small object is released fg. lxd f9 mwo6g0l1-dorom rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground from wh -gl9fo0g1wmd . 6dolxich the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so tha 8lqjp 1t/j(/ )5dc0lru pgoeot 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 following choices best represents the 0 /1lgo u()pc5ojlr jt8deqp/ 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 so that it risesmq )fykanr y+;gzs-60 wo3if7 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 heigg)r qky0ifws-6 z+a 3y;fmo 7nht from its launch?

  98.31: An object sliding down an inclined plane has speed 0.40 m/s two secondshv/jk 8)p; nyr-oksk - after it begins to slide.yjrkkn8so-k p/); hv- Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a sknlg0e:va , 76ywxw;*a,maj qpeed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s late*0x:kw aaj a ,,lqym;7ve6nwgr. 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 spel0s/ 8hq+x ag bd0mn:n h1zd*hf :fao8ed of another, how much higher will it be ao/l 1h:shdfgb*08 +zn xqmhafa:n 8d 0t its apex?

  02.30: A box falls to the ground from a deliveryyhf 4 u.j0fi qq:;txc6 truck traveling at 30 m/s. After hitting the road, it slides 45 metj0 it:hqy6q . uf;4xfcers to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s n/ejq.do y6rsxwg3qm *b 0/+ kjs 0tk3vear the surface of the earth. After two seconds what would be the direction of the displacement, velocvrs+o jtqgkm.y dq*kx3bs/6e0/j w03ity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m&+29 nwno nygq8 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rank fygo +n89 2qnnwrom high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects ajdm5p6 pdqfv/,*ay :xvx8zu* re launched straight upward 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 attainedu68x5 p*dm,: dy vvxz *a/fpjq height above the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. After each bounce,ltzb 0d6x /mt,9va3hl the ball b0ld,39hzm ta lxv /6treaches 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 launc4 yfc.ja / civw5di)ur-.glj qo(;z u)h, a projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the hor5(ri-wy c/fq u jc.o)l;d4uz g.iv)ja izontal?

  05.02: A pebble is dropped from a high veiv /epsm23h8.c7 2cqb ma* chrrtical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after2*ve2 ia hr c/bmphcq87.cm3s the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were ai1jkbl),n o fp0 ous1uy2z s*(rguing about the height of a parking garage. One student suggested that to determine the height of the garage, they simply had 1p(yu1 z2sjbn*s0,ifo )ko luto 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 garage?

  05.07: A snail is moving along a straight line. Its initi8+lky0viyh;e al position is x0 = -5 meters and it is moving away from li+yv08;hy k ethe 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 by gravity (dow1axij kc-qi5.uwi:r .n the plane of the page) but is i.c-.wr:xu jq k i15aiconstrained 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 :31yynvj p(vi8lqw lw:-/mwz from the top of a tall tower. Half a second later another yq(l:/:3w wyjnzv wi8m-vl1prock, 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 track. The cart 1yx8m twd3z4slp-k v. comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially moving xz8pyl 1-mvsdw34k.t at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initially :hkzgz6m7p/ upv3.7va ean(mmoving 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 initially moving at 1 m/s. How far d.6m up7hz zamvk7nea/:vp g( 3oes the cart travel before coming to rest?

  08.03: A dog starts from rest and runs in a straight line with a const.5ub ged610qxwpeur 8q/gy/ii8x6 x n ant accelewinr5 1be0up guq 68.ye6d8xg/x/qixration 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 8,efqi,x qz0)k v /j; mfpx cgvy:kx:(rest falls without air resistance from a height h above the ground. If the ball falls the first distance 0.5h inp fvcqm80vix,x)f ,:j(zqk/e;gy:x k a time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both mugx .vx: 0+xlpove 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 xlvux.+p x: g0time T by Object 2 to that traveled by Object 1?

  12.26: An object is thrown horizontally with speed 10.05(gf 75 jx hzuu ;+)h-ldlnbqb m/s from a height H above the ground. The object reaches the ground with a speed of -gbnzd7xu(;5b5lj + hfhql) u 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 thrownca jdkrf4 5o11 straight upward. The object 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 function of trdo51kcja f 14ime during its flight?

  14.03: An object is dropped into free fall. Through how many meters does thr 3rf wz:ki+f mbi*qd))ps6 w7e object fall during the fi *+ z bw3sm)6)7fkip qiwrrf:drst 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a time ofs pr4 l;sm ;6:a:4ywohncmw1q 12.0 s. What was the initial speed of the box when it started its slimwr l;:qy4 san4 ho6cps :mw1;de?

  14.07: Starting from rest, a cart uniformly l6b0h0 b0zwc)(xgi-uplj sq2te(ig82 mb t; kaccelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distancq ( j )z(il xbbs0l ech08km-gitpgwu20 b6t;2e does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five seconds lat:i-gfr ll-4bs/hud e ;er, 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 be;- i/ugbf:4- lld erhsst 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 at4f- dl, 4pvk* (pymsam 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. *a vfy(p 4kmld,m ps4-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 of the car during the five second motion?

  14.33: An object moves with constant acceleration starting wj3a*kx8d00on, avpp nith 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 fall. Whichdm9o9j)9zf al vc9pe-j nh;s( one of the following choices best represents t(l 9a 9z ev9n jpj-df9sc);omhhe direction of the object’s acceleration during its flight?

  13.26: An object moving only toh+zev wriay2dt6 (.lrp 4*0ts bu; j;j the right 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 object have during lawj+t2r.dz *e s(hi;u jr4;0vpbyt6the 8.0 seconds of stage II?

  15.32: An object moving along a1x8-cs/zg ze;d dc1bc 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 magnitude acceleration d-1 bcx/dd 81zcg;ez scirected 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 ra/c5s v r8t.dl*s5 mmyest. A ball is launched straight downward with an initial speed of 36 m/s at a time 2.10 s afterr5y l d./*vsasc5 t8mm 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-driving car fs 9*wa gk +gk.rk11vo)ru-8grk 8 xngraces with a robot. The robot accelerates a gkr k 8g8ovx+gwur)-9.* snk1kra1 fgt $8.50\;m/s^2$ 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 veb ) ck,gmla)vxmk6:hi; q +j0trtically 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 ti,xck0iqam) mh) v;+kb6g lj:tme is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?