94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and object p71lhwb zunvo;fg 4 4m/n odc+2/wzn,2 falls frezfoh2l m4u4 7/nn,no;c dg pv1w/wz+b ely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed qcj gnt6672.5 vrx vijof 20.0 m/s in a time of 15.0 s. How far does the car travel duqgti6nj76 v 2.5xj vrcring this time?

  94.03: A ball is thrown off a high cliff with no horizonnidra f*+87 yu9 js;a*ur sa 9fb4j.qmtal velocity. It lands 6.0 s later with a 7y*rqa jrmju;ia*usn9ff4+ ad9. b 8svelocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surmexer 0xm b8n5vp5s3 ;j..qkdface of the earth is accelerating vertically upward a. db sxmq5p;nk8 j.mv30erx5et $10\;m/s^2$. 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 msja97jrkv3,5lz dzc8fg 48oo/s at one instant. If it continues to fall, one second later the object would be moving with a downward velocity clca j,9 v8z3zko8lrdf47sg5ojosest to:

  95.39: A car starts from rest and accelerates at( 9 ed66aeev 56kz8h yildn6ps $0.80\;m/s^2$ 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.tad 5mh 0ke5 8u/lfzi with a speed of 30 m/s. Assume air resistance can be ignored. The height 58f .5 /dahmtiuzkle0of the building is approximately:

  97.09: At a certain time, an object in free o9x.25kh lu5zfv8k dwfall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of theflkxv5985k.oz2 d huw object one second later?

  98.14: How long must a b./tiz1. vc-uhmz 9np$2.5\;m/s^2$ 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/s. I e8k(a 9,blfntj h5xs/f it continues toj8/hx,esbkta (fn9 l5 fall, two seconds later the object would be moving with a speed of

  17.02: A small object is 5ozc5d)d7op freleased from rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the object was reld5p) fcood 7z5eased?

  11.06: A ball of mass =0.100 kg is launchnqx/g; ocgb m)os1-(t ed straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air res o1mx-tqc bg gno/;)s(istance. 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 stra : y 0ca8:hdf8) hasbts,zoz9zight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore h8h z: :ad0z )8aotzsfcs,y9bair 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/su 1e-g494yvlula sv 5a two seconds after it begins to sl-laaey9v4uu4l s g5 v1ide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward fr+vx+rf0flm m k5es)khz2 .v::v( ve lwe+zk5d om the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s late.2dse+w :e e:(05f vxkvklvlf5mzvzh)r+k+mr. 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 ini/h,gna,yi5ay tial speed of another, how much higher wi,,hn g/ay5 yaill it be at its apex?

  02.30: A box falls to the ground fro)d/zenzy w: phu(362c 6xzzg9i7 e gyd6be.kvm a delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take/:zkz y .z63 v wg)62e6yb7 phdcx(zngid9eue the box to come to rest?

  03.29: An object is thrown upwardnn 6:w0//ugbxe7zf 9c4vn-codsc5 dfs with a velocity of 30 m/s near the surface of the ea bc5gc764 nd0sudf fx- /9czvn:o ew/nrth. 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 (8 8d.9tg3srzu n kmwu.dhf/wvertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and vtd.m n r98/wg.f8zh3 (kd uswuelocity 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 launched strail q ;bvv61 55;of5ynmwtag7unght upward with identical linear momentum. Object 1 has mass M and reaches a nv b6wt;g5;7n5lyf1muv qo5 amaximum height H above 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 sho;,2zvedp 5s1k2 g uadqwn. After each bounce, the ball reaches one-half the hed25g dz21;sa kpqv ue,ight 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 in free fie/(itsccwetz * qko6 9orgv (/6y 9h9all achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch /ikyz/(ic t6o g 9e (9cs vro*teqhw96from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of thq rq)avd 04ez)e pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the grou)qdevazq0r )4nd? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage. Onetwwkm f aoc+dr:5 qxz:+d6ixm8pf398 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 t35r9qxmpx6z +wt+ki: 8:ffm a 8 wdocdall is the parking garage?

  05.07: A snail is moving alwomjmh5 d4 89dvgi 0f2kv/r+rong a straight line. Its initial position is x0 = -5 meters and i9fwi 8krhr54jdd/ 0m2o vv+ mgt 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;yhttw2, v v agph z)js kz:hj/,09;hj 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 tha) /,jjzphav0wg h ztj2 sh;thkvy;9 ,:t it takes negligible time.

  06.13: A rock is dropped from the top of a tall tower.kyx-or3qf(. 3m ks4 k3;fpbeo Half a second later another rock, twice as massive as the first, is-pb33yom qrk3of .(e; s4k xfk dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along8b2 j2daob *br a track. The cart comes to rest after traveling 1 m. The experiment is repeated on to2b8b2* bdrjahe 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 6j(,cl)/ekhgo* q a oetrack. 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 traqj (lhcg* ea/o,6)koe vel before coming to rest?

  08.03: A dog starts from rest and runs in a straight li/ ij.q sq,5s1rdl+ne ane with a constant acceleration of+a,i esr5j/ s1. dqqnl 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 withou :w:v gp*si.vst 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 remaining distasws:p *vg v:i.nce of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At time t=05vzjucq efr4f yc6 ;04,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. Aftervu54c6cqeyj 4;zr 0f f 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 speedm3is*w* vc;xj 10.0 m/s from a height H above the g w jv*m3*si;cxround. The object reaches 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 strtvob /9p(zrcvhqn7-qj:/ a 3 gaight upward. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs could re 7cqb 9 gavpnrvj/3(zq/ to-:hpresent the velocity of the object as a function of time during its flight?

  14.03: An object is dropped;ffh*sx0 fe-h g oqx27 into free fall. Through how many meters does the object fall during the first 3.00 secoh7 egf;xxo- fqh* fs20nds of flight?

  15.02: A box uniformlbq/dyk.nm- l( y slides 7.50 m to rest across a flat surface in a time of 12.0 s. What was the i l(bkmny.qd- /nitial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of wdj;-);wg6q27j j l1zi /nczhogpbg+ 7.60 m/s in a time of 3.00 spg7g1+ jzwd q-nwioj zg2bj h/6c)l; ;. 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. (qa. +gunvq.hFive 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 thegnqv.qa.h (+u magnitude of the average velocity of the car during the five second motion?

  14.17: A toy car initially moves to the gs*h2/oa(xcn f1aqb 7 me;:vhsrp.i. 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( nsofhvq..hm: r*a/gcb eaxs1p; 7i2 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 with 4jv. -rwzkv0 t n;no9tvelocity $v_0 = 5.00\;m/s$ 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 ini*dnc3d8 a )oubtially is moving upward while in free fall. Which one of the following choices best d)d 3oanu*c8b represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the righzn p6c356v c7bs/ri tlt completes a 20.0 second trip in two stages, I and II. The average speed of the entire trip is 10.0 m/s. Fn l7ci6c/b3v t rpzs56or 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 along axp pewq42 jnor54 d2l(+,5gcojtnjbk83xw p5 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 r2jq5w,435x 8j x2wgob njn+(dlk45pptpoceobject have during the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a small rock is drokhlvmzv+m(6m dxznf2onqq+q* s( 3 ;*pped 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 d; q szlz(6n +m+ dvf3onvx*2qmhm(*kq ropped. 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-dri4: twt11atphmving car races with a robot. The robot accelerat11 4t :pttmhawes 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 ver(vzp9 mce 9d6xtically upward. The vertical position of the ball 0.70 s after release is the samxzcp(d6 ve m99e 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 height it obtains during its flight?