94.01: Starting from rest, object 1 falls freely for.i c0 gidl458povk9wuoufc ,-eji ys1- pv27g 4.0 seconds, and object 2 falls freely foiifi- l 4y dv9pwve kgp uscj502ug-7.c1 8,oor 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a f yfw..g5unwt8 4ivk 5gnr* ty9inal speed of 20.0 m/s in a time of 15.0 s. How far does the ca.y5y wf4 uwrn ig9ktt85.nvg *r travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal ve d*/lqu /jlvqc36qid -locity. It lands 6.0 s later with a velocit l6d */ulv dcqq/jq3i-y of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the o j3; jqum2p)msurface of the earth is accelerating vertically upward at j2u);j pmqom3 $10\;m/s^2$. 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 inb,u *jrpvk24nstant. If it continues to fall, one second later the object wob2,jpr k 4vn*uuld be moving with a downward velocity closest to:

  95.39: A car starts from rest and accelerates atv -:rffvv q0+g $0.80\;m/s^2$ 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 strike ydgx6zu:.96w r1 lsijs the ground with a speed of 30 m/s. Assume :19 zy6x w6id.gsjlurair resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an obpc cgj :79oik t9t7zs6l)(/-- az ackr6xmiyuject in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one s9k z6ui7-j (zt7: c-rsm9ocx/kg tlia6cp)ayecond later?

  98.14: How long must a pahqaq/ v07 h;pa c*d5$2.5\;m/s^2$ 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 do .wmcf7bu::h fwnward at 18 m/s. If it continues to fall, two seconds later the objecu 7mc:bw. h:fft would be moving with a speed of

  17.02: A small object is released from rest and falls freelytd l,gvt;d4dd:m1 am0 for 4.00 s until reaching the ground. What1tv da4;mm ,:td0gdld was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched str/zx ,p ,i:ecqc yyj;;r1phf,ftj8 ql)aight upward so that it rises to a maximum height of 12.0 m above the launch ;: ltjc xjf e1pyc/hyq )p,8,zr ifq;,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 =0.100 kg is launched straight upward so that it risp:jutb 4s;p8,:nvh xnes to a t:u vj,sb 8pxnp;: hn4maximum 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 its launch?

  98.31: An object sliding down an inclined plane has speed x)b;sj (bg,ohht;p*f xvs; 3 d0.40 m/s two seconds after it begins to slide. Approximately,xh*so djhvb() pb;xg;s;tf 3 how far does it travel in three seconds?

  98.40: Coin I is thrown upward u5s2 71cldv9r h;wseh 9z f8jbfrom the top of a 100-m tower with a speed of 15 m/s. Coin c18wd9svh7e;lfszj9 b r2hu5II is 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 upwardsqg3zdn, s(c6o with twice the initial speed of another, how much higher will it be at its apexqoz, (dcs3 gn6?

  02.30: A box falls to the ground from 0z0j14dp8lex p li w2w, s+ 3zhjpcn0qa delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come to 3 lz p1 lwjnscpi8z+w0, pd4qhxj0e02rest?

  03.29: An object is thrown upwards witir a+zsof4 g8vp k c/s3rx wi)d+qk+x8m 05g9eh a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity anw0k+zsq9fdmk gxiv+i) 4x pe3/rr+s5oca g88d acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown verticallsw+o (t l(p-.wzugub (y upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity wl butzw-(+.(os( upgof 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 wk zsz2dga084d ith identical linear momentum. Object 1 has mass M and reaches a maximum height H d0z 2ga 8s4kzdabove the 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 bounces on the ground as shown. After each bounce, toi*m)qvlb0/ 9d ahrby1x*w 2 echb;3b he ball reaches one-half the height of the bounce before it. If the time the wm*a rb d1)v093hbo;* b/qhl2xbcye iball 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 pfk; (do wuof tb)8 .yn(cj4jkuc51ua 1rojectile in free fall achieved its minimum speed during flight. If that minimum speed wa f4tocw uu5;u8ck1o1.j ayj(f n)d (kbs 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 ct t y(6odgklcra1: f.:liff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hitf1c:gr6a :tkd ly(. ot the ground? Ignore air resistance.

  06.03: Three students were arguing about the he //g.lnl y,6 :4w7xfeatecv; + zwjhbvight 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 aeh 4 :xv, .7z6f;n+bc/w vllg/ejytwthe 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 d mi/e dih*b:7xn 4bt1 o)5q,qo,ynyg;u b0f qx0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, 7 ou0i/n;d 1 :b)oi4qmbxyhfynq5,gq t*be,d initial velocity and acceleration, respectively, are

  04.38: A small point-like objectn8no tikjzk/j *+ gp3* is 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 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 negl *8jopkj3g +ktinnz /*igible time.

  06.13: A rock is dropped from the top of a tall tower. Hf4nm-vk3e 4 5fpmd kor(+ ;brkalf a second later another rock, twice as massive as the first, is droppvo (m4 k4frk;b d-e+rnm35kpfed. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a trac)n,hyh o6wq4o* hn;n ck. 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 tnn* h;yhhno )4,6owcqo rest?

  07.11: A cart is initially moving at 0.5 m/s al(n6j0 xn3bxvpkhx n6 ,ong 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 ,bvxkp6xx n0 h3 jnn(6travel before coming to rest?

  08.03: A dog starts from r jozy/)9 1pu2xb dmpb7est and runs in a straight line with a constant acceleration of 9mop zy) bx 1/7pju2bd2$.5\;m/s^2$. 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 heigl4clcb1itw /; ht h above the ground. If the ball falls the first distance 0.5h 41 w/clibcl;tin a time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move w1f up helxwm 2:cs9(7s7vm;o 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 Object 2 to thatp2 f7ms17vow;9e:sw m luc(hx traveled by Object 1?

  12.26: An object is throbk /nm s-cs;+wow/t;wwn horizontally 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 represe+t;osw- wkncs/m wb/ ;nts the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straig50spf.r qgb8kssy7; + vj5s34rfdbs tht upward. The object remains in free fall until it returns to its initial launch point. Which one of thv s8bt7r+jsd4 p s3q5 bss0f5kf.; gyre 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 how mat -f0etz6qwv7 ny meters does the object fall dur 6 7twtqz0ef-ving the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat b1:vwix -1gdj.06a d-asgyy msurface in a time of 12.0 s. What was the initial spevgi:ay--wbdd1g x .j yma61s0ed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 m/s ,2xrg;9 .d jg ixno,xrin a ,do;xrigx2jgnr. x,9time of 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five seconds later,c:rq; ir yueg1 s1x95nyk a ;k69;zxt egmd)e, the car is m q1 x 9;amc :d;sxk,yn rg5e;t y6zrk9)eu1geioving 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 riybaoe yl(6.0qght 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. W0b(a q. yel6oyhich 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 accelez. jw82a hyr)qration 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 movi-,qc a((hlio3x-k)q y ti9t5h :hpwlxng upward while in free fall. Which one of the following choices best represents the direction of the object’s acceleration du9hih:-)w lhklq(oiayx3 5x t-cq(p t, ring its flight?

  13.26: An object moving only to the right z8 ;/xmolb ci-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 sx i;bom-lc/8ztage 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 compleyo;jo+ v;7yvz x(jcw u21b nw;tes a 20.0 second trip with an average speed of 10.0 m/s in two stages. Du1yvyn;buwo;o x+zvjw2; (cj7 ring 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 a8f2goowmo6ou /0yx g/ high cliff, a small rock is dropped from 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 than the initially dropped rock, what is the speed of the 0fxymo8 u2g/6/ oog owball relative to the rock?

  16.36: On a straight road, a self-driving car races with a aoe.5 .am 4latf ;: uldbax3,frobot. The robot accelerae3x;lf: m.d.t 5 ala,f4baouates 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 vertical positionm,l3 wfd9i6okzz /+c m i8o3ng 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 object first at a vertical position that is one-half of the maximum hzmlm6 3z+9 ,3wgnfckoo/id8 i eight it obtains during its flight?