94.01: Starting from rest, 4yzkw vy **6uyobject 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, object 2 falls*yykyu46z vw* :

  94.02: A car starts from rest and uniformly accexo7* dgxz7otd :mh. p*lerates to a final speed of 20.0 .o h:mtd*7 7dzpx*gxom/s in a time of 15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It landshxqyw 1w5xt99tpsgx9(b;j ,jiabi 9/ 6.0 s later with a velocitxb 9w apx;1 95t (sixjtgb/ 9hq9iw,jyy of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of tzr+(3 r(w.s ch 3vzhbz5dz/bb he earth is accelerating vertically upward r z(/5zd3+v(bw.z hzbc3rs hb at $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falline6et: 5igg (:h/2pekc3stzlbg body is found to be moving downwards at 27 m/s at one instant. If it continues to fall, one second later the object wo6setk ggl:23/teic5e z (b: hpuld be moving with a downward velocity closest to:

  95.39: A car starts from rest and acceleratesch(ptux 45i 0pvr1y ei-l;2hsk l3+ dp 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 ty 3rdl+1xab7 sog*6gbuilding strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height stbxlg7ay*61odr g3+of the building is approximately:

  97.09: At a certain time, an objes/ k:lcg wqo76ct in free fall has velocity 4.0 m/s in the upwardc :g6o 7/kwqls direction. What is the approximate velocity of the object one second later?

  98.14: How long musti*:amhq9ea.1r usb4+k 1wt cv 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/g b u7+khc:; p4v,yqxys. If it continues to fall, two seconds later the object would be movi+h:ucpbkg y 4,q7x;yv ng with a speed of

  17.02: A small object is released from rest and ,2d h e0p2tfngfalls freely for 4.00 s until reaching the ground. What wa 02f,ntghe2dp s the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is un5p7 xm0 i*bxhf+* tdlaunched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Igt hb*mdn07i 5x+xp *funore 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 upw3 xw:eve 5/piuufy-kq9iw7:g) 6uix jard so that it rises to a maximum height iwxiuqwi37j5k6/pu: 9f -e)uxvg:e y 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 gw 3q9xn qu/swg20x8 t1s/uw zspeed 0.40 m/s two seconds after it begins to slide. Approximately how farqq9w/13w 02 8gxzuxtg/ s wusn 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 1 n4cci)kme 36p5 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 m) c4 p6i3nkecs 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 twice9+0bdvuvm/qff5 w1 xbo ;/r8gvljd y( the initial speed of another, how much higher will it r/ dwfdx bfu(9mo+q1vvjy/5;8blg v0 be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/sy;nr. ;:fga pi. After hitting;a;g:irfpny . the road, 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 a velocity ; a-j .rpaiaz/jg8 y/8 6sfcizof 30 m/s near the surface of the earth. After two sec/.8p6a/cgry is8f jzaz-; ajionds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (dm 9zjvv*;fy1n. y3,;.5rzkt v irmyp1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3 . p9d5*y ,kjyivyntvr;1mrmfz3z; v .v 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 launched ,n.0j( gs9up x,hxvahxp-5at straight upward with identical linear momentum. Object 1 has mass Mta-h xpg9nuxha, vx(5 p.,0js and reaches a maximum 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 shown. After each bounce, the barg,(ikbxwtl7 . wz4bn4 , vvu*ll reaches o.i zl *7bkb tn,xgvr vw(uw44,ne-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 launchz8qiq*2/a 9 ds.ss aoj, a projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projs.jq/aq9zd 8 aisos *2ectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of ,1kkeo3k+ags3a4irng h 21gd the pebble with the ground below is seen 1.50 seconds after the pebble is a13 ihdk1 gg3+oksg, an2e4rkdropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage.3 hwc y/2o4lh wuf;agg9( i8ev One student suggested that to determine the height of the garage, they simply had to drop tennis balls from thfw 4/ha3liecy9 2 h w;o8vgug(e 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 initial pa)a (5/n6nmpjks gysau4*/hf)1ao udosition is x0 = -5 meters and it is moving away from the origin and slowing down. m4akusfyan/5o*n)u 1hj s 6)apg (/da 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 graviwza-b( e cb,oq) z z4e6ii/ t8jvb,o0cty (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 bv /z(ow8,icebo6i e4j zt)az b0 cq-,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 from the tk 8v) l;fa5 p pd,qwbcbd0)xx1op of a tall tower. Half a second later another rock, twice as massive as the first, bl5pwb,cda x8 0p)kxd1f v;)qis dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s al:iots 1lq6 vx6ong a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, butv x6o6l1i :qts 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 tra q )*cir03:pi lujc1lack. The cart comes to rest after traveling 1 p31 q0acj*i)ruic:llm. 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 frot j4tg* fsqdt,sz0(w7m rest and runs in a straight line with a constant accelerationgzjs 7*ds qfw(0t4,tt 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 rest falls without air resistance fr a+rcex3mauy *k5u. b6/a0t(9ytfgen om a height h above 5t/e *rumn0y+ ea3y t6a .akxufbc9g( 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 of 0.5h?

  10.38: Two objects both move g9u ; g qgu3qu8a :a9j5a)e:fhjfs9dgand 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 dgu f fga: h3 9je9s8)a5ga:qujqu;g 9objects 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 speed 10.0 m/s from a height H abospa m-9r6(b) gpni9zty8 (jusl+m - mhve the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of the following choices best rl9azst8 u( npb- (9rjmmp-s) hgm+6 iyepresents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straighik/j2 d r64qzvt upward. The object remains in free fall until it returns to its initial launch point. Which one 2/ 6 qzirkv4djof 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 fall. Through how many meters dop wm6.x+s 60wodbgo ;des the object fall during the first 3.00 seconds of flight? . o60osdgpwx;md6b+ w

  15.02: A box uniformly slides 7.50 m to rest acrossmbm:7.r fm1pf7 w)rxd a flat surface in a time of 12.0 s. What was the initial speed of the box when it star.x rdmmrf17:7mpb ) fwted its slide?

  14.07: Starting from rest, a cart uniformly accele0 ix0m30srzgs rates to a speed of 7.60 m/s in a time of 3.00 s. Through what0xm g00 szirs3 distance does the cart move in this time?

  14.16: A toy car initially moves t)n 7pu(7 fpggdo 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 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? (nu7fggpd)p7

  14.17: A toy car initially movez4sij(fkj 6m5yr:cr 9 zj:5q 7sfrh7us to 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 r(zjci4zj fj7h r 7r9y65q:s m5fk:usthis 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 move4za;43 fl /ycrm8z erfs with 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 moving upward while in free fall. Which one +s-b4mm0 hk3/ mmzngnof the following choices best represents the direction of the object’s acceleration dgmm-sh4/ 0m+n k z3mbnuring its flight?

  13.26: An object moving only to the right completes a 20.0 secon3elzor/m7ex /:(njgt d 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 nlt: 7g3r ze/ mxj(o/ethe 8.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 second trip with an a c 34(86g+.yb4 gqcraozadta bverage 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 zarc(b+.o 6ag44 yt3d bcagq8stage 2?

  13.33: At the top of a high cliff, a small rock is droppej4 yn.b/ sgw1cu1iw n:j u,f7pd 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:1c4uisf j.gyj/,ww7ub n1pn 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, s.95in5gfoai l9j8zd a self-driving car races with a robot. The robot acceleratesl5 dfi .8a9snz59gijo 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 position of tgrlj ai8p8-fh26rd qapy3 b5si y-; ;dhe ball 0.70 s aft;;aiyy r5hfrp- 3 -b2g 86sijaqd8dlper 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 height it obtains during its flight?