94.01: Starting from rest, oh)3h bovr6 * ecubh,:rbject 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to objecu6e v:3hrhr)cbhb * ,ot 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a fin4 qhqpva4n)x2p 1q yn4al speed of 20.0 m/s in a time of 15.04pn)apq n1 4qy2 v4qhx s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliffg/: h8i+zkwn: p y)/qgoig sm, with no horizontal velocity. It lands 6.0 s later with amy/so)+igqi g :gh8k,p/w :n z velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near t9w6 xlh1z +7 gu dfisndar- bqd0qc40:he surface of the earth is accelerating vertically upward at a:0 wn rz+d0ic6-d9gdblsu fx4qq71 h$10\;m/s^2$. 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 moviixcvd,13o 1td8vu- n yng downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward d8i yv nx vocud,1-31tvelocity closest to:

  95.39: A car starts from rest and ac f; h,ra4hikujgcaxz4z 2-l0m 0g5mz.celerates 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 buildin) m2tdx2fvj j6c y9o6sg strikes the ground with a speed of 30 m/s. Assume air resistance cand2c2 x69vj fs)o6m tjy be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has velocitvj6 u3 uogboo o9 c,(jfq4vyn8nhs:49y 4.0 m/s in the upward direction. What is the approximate veloci: oov49hj (sc,69843ujy fnbvqgn ouoty of the object one second later?

  98.14: How long must z8poj a+ :chkzf*m1,/ *w4bl;vll ooxa $2.5\;m/s^2$ 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. Ia z.yrz wt2zb:zva pru-. )p04f it continues to fall, two seconds later the object would pur wzp.0 ab-t)4za r z.:v2zybe moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.00dc627 s9c wgb0wy xq*r s until reaching the ground. What wb wxqgy2 r7cw0d*96cs as the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight n2bcba q4ih5 0upward 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,n25iha4b cq0b 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*t 9*e zyv9z;ei5+y3yt6l d / aqsfpfj.100 kg is 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 does it take the ;sey5qie yy lvd9za6f+t9/ 3fz * pjt*ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclined plane has spe lzs;n:2uj6 bp no .mi5bps;e,zx2cb3ed 0.40 m/s two seconds after it begins;b ,lm; u5bej3pns:pi zzo2xb2.c6ns to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from th;fz /:0 hp./ wcwkpcmee top of a 100-m tower with a speed of 15 m/sc .hppe//0 :; mfwwzkc. Coin II 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 upwards with twice the q j+:q 9ffm4voinitial speed of another, ho:q v+4 mojff9qw much higher will it be at its apex?

  02.30: A box falls to the gro,jddb +kctm7yk)+qiu, nb; 3gnmt 0.vund from a delivery truck traveling at 30 m/s. After hitting the roa);.0ciun+d yj v tmtkb3gq,nm+d , 7bkd, 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 azv.pbja1e lg. .)b: io velocity of 30 m/s near the surface of the earth. After two s:bb.eiv.zj1plg) .o aeconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m0j)fas mch)k,) are thrown vertically upward with d,a)cj ) mfskh0ifferent velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity 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 lau y.4r6txvm5x mj8k 1bbnched straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H ab6xby4mj.8 15rvb txkmove 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. Aw 1sr9g /wrzm9m asqdr su+7stawzzlq) .1(,/ fter each bounce, the ball reaches 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 wou1w) /wq9ws l1s rzmdq/rs9(.ur ag,+7atz smzld be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achieved its minimuuglkg o9; 6 *c++ec, majno8clm speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from tao g um* n;e8og9cclk+ cl,+j6he horizontal?

  05.02: A pebble is dropped from a high verticaljvvae2m6 -wbv dp+/2t cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is droppjv 2 -bd6ap2e/wvtvm+ed. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were argui x7vzyo-kd: .ang about the height of a parking garage. One student suggested that to determine the height of the garage, they sx :o -vyka7z.dimply 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 tall is the parking garage?

  05.07: A snail is moving along a straigh fmi5to6 5hrj0t line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the6fj0i5h 5mo tr signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-lia9dwmxer 9r040r9ohnri 9ds a;6j7xt ke object 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 poin 69xs9 ira;a ew rd7omxrj t00n9hd94rt 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 from thebz fbv)kxr9r7w*,9row9 z,tf top of a tall tower. Half a second later another rock, twice as massivewv*,) 9bzotrkfrr fw97zb ,x9 as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially movin0x x swnb*g*cqya,5*x/g zw 2mg 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. Hbxggzqa*y2 s 5x*w*/,nxw c0mow far does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track.wrpy z *t-.wp3x.l;e0e 4ey dg The cart comes to rest after travelin-r;.0zte3ex 4lye*y pg p.wdwg 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 to rest?

  08.03: A dog starts from rest and runs in a straigan4m,fplzia89g 5p be9;6 hrwht line with a constant acceleration of phzfaw,5g8 9lr 4pmbai;9 6e n2$.5\;m/s^2$. 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 he: q*92ak6wiqc wt/ mmfight h above the ground. If the ball falls the first distance 0.5h in a time tkf mtww q /i6ca92*mq:, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. Afpyr/fx8 5n0c t 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 that traveled b/nc5f 8fx0ry py Object 1?

  12.26: An object is thrown hik8) ymns+x:9-ekccyz8vg k* czjc,- h u33et orizontally with speed 10.0 m/s from a height H above the ground. The object reaches the g-3 -sky c 98kzeem:chi g3y),xkjcnv*8 uzc+tround 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 object remains in free fall untmy+ua7tj2tx 2f znu ,/;xmz( bil it returns to its initial launch point. Which one of the follbnmyut(t zxau,xjf ;7z+2m/2owing 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 manxj 0 b8oiil.jbix i3f7 yl+8g0y meters does the object fil8lfbb 0i7x+o gx 3i0iy8.j jall during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.59v-k /aeyy2hog :-mn9qhut+ e0 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of the box ntu-yh mghy9ae9:+v-e 2 kq/owhen it started its slide?

  14.07: Starting from rest, a cart agbglf.z 6 li:c;l t8v:p)r)a uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through wha6z8 pllflri.cva b;):a)t: ggt distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/1 b2 qaplx csnv.br.i2.t95drs. 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 velocity of tbr1 n. 52.sxlbap .v 2rdqtic9he car during the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. Five s7j) v.txb*/rdm 0frxsyxl1 (csq8xq5 econds later, the car is moving at 40.0 cm/s to the left. The total displacement of the car during this time is 1j svs q)(tl5xr/x 8y1fmqx d*7cbrx. 00.0 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 startin ,zub0g q6y t/0co;tezg 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 upward while in frezv1.g ujdqw)y- 5bs 0ae fall. Which one of the following choicesv) j-u.g 1wdq5baz 0ys best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only 4a vjufao;-s) to 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 ofa a);o uvsj-f4 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 completes a 20.0ira;2d9 b0/pkkc oseq+od9* s 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 rigi*aqbe+crdk /d9o;k9p2so 0 s ht 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 a high cliff, a small rock is dropt8i5 6q3jgz2 7nntxfq ped 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 bgtt7zx5f ni 6 38n2qjqall 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-d bt8: w1.gi 9d wj:tuzabl8t*hriving car races with a robot. The robot accelerates at 9w:8i8: j*d thwz 1bu ta.btlg$8.50\;m/s^2$ 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 vertical2h td3v*gi r-bg21 jrq-ddq t; 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 is the ob jtq31dd-2*hr bvd qi2tgg-;r ject first at a vertical position that is one-half of the maximum height it obtains during its flight?