94.01: Starting from rest, object 1 falls freely for 4.0 seconds, an+t2 fn kuv2n z24i lcii+a.*rtd object 2 fall*++uiiz2il tfrt2 v4kn. a2cns freely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and unifor o-ho y o81l;ewzy- ,1d,pciarmly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far doew8o ica,1dze-yh r- o1l,; opys the car travel during this time?

  94.03: A ball is thrown off a high cliff witn3x7 *(pu l :exjbqlg:h no horizontal velocity. It lands 6.0 s later with a velocity: (j7blxep3nlg qxu:* of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the sur9q9 +polnl rs5b,sduv 0p aw6(face of the earth is accelerating vertically upward at60(n o ,paw p9uss+5blvldq9 r $10\;m/s^2$. 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 one8ec)i)fr, : a potufma20gne3 instant. If it continues to fall, one second later the object would be moving with a downward velocity cl0up tnoe)8 2acfrem3,fg i:a) osest to:

  95.39: A car starts from rest and accelerat3a zp 3f iw5z-0-hcobtes 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 qxvkztjy l:682 y vd05from the 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 avjt6qx05 28yz l: vdkypproximately:

  97.09: At a certain time, an object in free fall 3dvwf;(sqce ps -j 2e7zyq2/c has velocity 4.0 m/s in the upward direction. What is the approximatevf;j/csy2q 3-( szpweceq 27 d velocity of the object one second later?

  98.14: How long must y,kmwym 4n o38ysr;-mi8ve7 l 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 iqgbo42o ony 5cuf, grxwy aj,l 9):78at 18 m/s. If it continues tooq 9ial by8 ojnyfxg5or:)2uc ,7,4g w fall, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and fall 4g mf)pbx93dss freely for 4.00 s until reaching the ground. What was the height above 9mbf)4d3gspx the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launc75h gmwqzvlrfa1( z6) hed 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 following choices best rev5wq m7z16()gr lzh fapresents 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 kml/xda q vdr9p0+,(tis 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 doesx9,d /r0k +vtmqda lp( 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 two secondswav.*3p2it o- 9ndrkc after it begins to slide. Approxt .-2 p9wk d3ai*crvonimately 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 speed of 1td wop5ehe5uv s1;n0/ 5 m/s. Coin II is dropped (zeod 1v/ ;up5 hswnt50eero 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 initial speed of ia -it3kexp) ;anoth pkx)i3e ;-iater, how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/s.(sun6cu )dg*rga 4mdnj x5*v, After hitting the road, it slides 45 meters to rest. How long does i ,)5n6(a4c d *gnsud u*mjvgxrt take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s near the surface9bztz a(qava(2;qnj e+)u f g+ of the earth.9(tezaf qgqa+jnu a2bzv ()+; After 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& 3m) are thrown vertically u)h ;fs otl.f;v/u bge.pward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of eae.t;sfgbvf /l hu;)o.ch 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 with identical linukd /g g(.cd)rear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has mass 2M,) r .udd(g/kcg what is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shd0fkfg(gdg, . own. After each bounce, the ball reaches one-half the height of thed,kg( .fdg 0fg 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 in free fall aorx pbd9 .a:1nchieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initi d1x.ap r:bno9al angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vert. 79vzx v5ycfrical cliff. The collision of the pebble with the ground below is seen 1.50 v z9fvc57xyr.seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing cwd lqx/ 9nm*r5 03spzabout 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 s*rmqcx /95z03l wnpd 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 movicstjz4k1q o.*x.fq5 nng along a straight line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and anq 1kx.f ts* .jcq5z4occeleration, respectively, are

  04.38: A small point-like object is pulled downwardfjvu*9i z,*k fum4m o3lsei5 (s 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 i9mj i5 usvuf4*k( o*3z e,fmlloss of energy and that it takes negligible time.

  06.13: A rock is dropped from the top of a:a2 t/gwahq/v,b,(k ml:kgso tall tower. Half a second later another rock, twice as massivwg/a m(:klsqkah /v:2, btog, e as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cav g)qjhiz26uu2v 3*mk + b4zyzrt comes to rest after traveling 1 m. The experiment is repeated 6h+zuq2mzj*vvy4ui32gkz )b 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 track. The cart comes :bph4 jya.uiqelyf7f x(67 ,eto rest after traveling 1 m. The experiment is repeated on the same track,xljp:,yu bh7.fi6y eq7f e( 4a 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 rh*grrgl; a8/;4dsf+a/rr1fprf dn: gest and runs in a straight line with a constant acceleration 1dr +* 8lrd; /fph ng4:g/rra;rfgsfaof 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 resistancl.)u1t3d 3e8r focqzle 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 remaining distance o o83e fltr1c)d.l u3zqf 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At tybopi*1( xvwzq0p8 x9ime 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. Afterop0(ixb9 8*yx vpzw1q 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 w mq xdfr8nx)jd7,kzd(3eo.4jith 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 timejdejo)rdqmfxn8(, 4kxz.7d 3 of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object rem wq2m8/gn,y, pcgbb4kains in free fall until it returm/,24gkp,bwcb y gq8 nns to its initial launch point. Which one of the 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 fg6),7 y nvalqf1 lsao3u:mtb/all. Through how many meters does the object fall during the first 3.00 3ftylq sgm,6nlvo ba1):a7/ u seconds of flight?

  15.02: A box uniformly slides ;rgvk kk.mm7 *7.50 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of th7mk rg km.;kv*e box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 mdsp+2w r;ymt0 r;x7 xs5nsh ,f/s in a time of 3.00 s. Through what distance does the cart movehfx0;ws72s r,5rm;+n yxt psd in this time?

  14.16: A toy car initially moves (p 9 ix7jgidujyqqj.v+p1/: /yaes. bto 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 /:1q/bp7vi .j.jqag9d+(ujsyxiey p 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 60.0gbbhw4/w(y q m 72 fb2fjmyo36m(*tff 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 of the car during the five second mot2 f*h3f( wf(b6f bjyw mb2om4/gmy7tqion?

  14.33: An object moves witejw*: 8 noiy/qh8c*ywh constant acceleration 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 wr*f9m9kv;u qf)sf*2e, ezhbng upward while in free fall. Which one of the following choices best represents the di*fewvu;qm, * 2frk9bf)z se h9rection of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second trip ing8y /jiq f iikjwp g(/c0iv(2s1pqq. 4 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 qv (0p// c(q8ii 2ifwjgsgiyq.4pkj 1the object have during the 8.0 seconds of stage II?

  15.32: An object moving along ar )j,b4.a 4xhygfmyx9 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 directed to the left must the object have during the 8.0 seconds of stage xayr 4.j9) ,ybxhm4f g2?

  13.33: At the top of a high t*tk z+-no jv7cliff, 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 droppeko- n+tvz7 tj*d rock, what is the speed of the ball relative to the rock?

  16.36: On a straight road, a self-i/qt; w7 iek*hp 8zx lmwqc:2fl*du w)*p.rf+driving car races with a robot. The robot accelerates au e/: p*hlkfiq7wm w**f x2z+t)pl.cq8;dr wit $8.50\;m/s^2$ 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 79jgys +(xkq2 j nl;*d 8lgsvjthe 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 thjnlsx;gj j+gqsyv8dk*( 297 lat is one-half of the maximum height it obtains during its flight?