94.01: Starting from (4m5pj* 0 cjnh yg*riwrest, object 1 falls freely for 4.0 seconds, and object 2 falls freely for pj4w h0m5(nrj* *yig c8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly acceleratestmzrb .qra0/x 8ns.7v to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during thixs8arbnzv 0.m q ./tr7s time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity4;(prv/x:5g uwwldw u. It lands 6.0 sxu4lu/vrp:5gwdw ;w ( later with a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surfaz4hlgwhvm22ago- . dtfn,c 2kfe)19fjyz 2e 9ce of the earth is accelerating vertically upward a .-2o e ha)d4glwtk2gjne9zy,2fczhv m1 ff29t $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is found(2r uibm.k.n szb8 t )be34kif1 dup2w to be moving downwards at 27 m/s at one instant.wifbzm.i)d2p.b1(u e84uk3r2s nbkt If it continues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accelerates at:eok a c7q2uui 5ig-.o $0.80\;m/s^2$ 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 thy1y 7xi ,g ler;vhw*6he top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can bey 1eh hvx grly,iw;7*6 ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall ha0.i*1zu veop ws velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one secondo u*v.epw10zi later?

  98.14: How long must ::khpa,q :3as5 hwo urhlfe 8+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 objecbdsgos 7,(s1ozg 6a9,b dwmk -t is found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object would be moving witw kbmdgobss9-gsoda,,16 (z7 h a speed of

  17.02: A small object is released from rest and falls freely for 4.00 s untzqw ,i5qe7 cr hz0a)9xil reaching the ground. What was the height above the grhe x75ac r)zq9wzi,q0 ound from which the object was released?

  11.06: A ball of mass =0.100 kg is laso/ 9z4i ul mg3k5s8is(:.vmq/cliajunched straight upward so that it rises to a mqi/:mvm(4l/3i5g 9a8i so.culjs skzaximum 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 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 rih).ry koe, y1vq p.dl vd5-tx7ses to a maximum 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 qpx 7y1hky5 .dd o)-l.,etvv rlaunch?

  98.31: An object sliding down an inclined plane has speed +sug )dvcj4rf xn7q x22y.u7i 0.40 m/s two seconds after it begins to slide. Approxnr +c.s2ij dq7ux f7v4g2)yxuimately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a9vkr0ll rxae94 2 xtbkobm5* 0 speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s later. Assume grv2a9lkblx04r*x0t 5k e b9om 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 speg:8si4j9 lmu qed of another, how ml 4igjms8q:9u uch higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck travelin7e 6)/wbwbdy bg at 30 m/s. After hitting the road, it slides 45 meters to rww/b6)b7e bdy est. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with an3r)j e.-xzece -r +awrw5 ;jq velocity of 30 m/s near the surface of the earth. After two seconds what would be the direcj.e3; wrwer)xrncjz5-a eq-+ tion of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown verticall-)gm3 hgdy gc1*mlwv*y upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the masdh m3ygv)mg*1 gw l*-cs 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 objecl 5avlzo fh3o*6,x1pmts are launched straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has mas51o3p vl mo6 l,ahzfx*s 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, tdjw zrof9a++ 4he 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 boj 4z+dw+ 9foarunce 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 achieved its //lpkcpicv y zyx/; d67(ggc6minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the hdpl/v c g6y(6pcxz7yc i /k;/gorizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision wjcj((dgk2apjcf 2zoy .5q,e/tc54 tof the pebble with thk2a( 5 dpj2qcjc tw,ez.gfoj4 c/t 5(ye ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were*o-.wujs6)yh x olg 7y arguing about 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 the top and time the fall of the tennis balls. If the time for the ba* w7o6) j y.uoyxhsg-lll to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along0rsg v1-p1 n *pm8nzhd a straight line. Its initial position is x0 = -5 meters and it is moving away from the origin and slows1p mz0 ndvr1* 8n-phging down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pullol6o pz7k 9k;egay p;v 3,+th 9-lvjrhed 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) necessaryylz39gt6r7po +, ;j-hkeoap l 9v hkv; 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 negligible time.

  06.13: A rock is dropp6fd,bh q z:5oxed from the top of a tall tower. Half a second later another rock, twice as f,o5bdx6q: h zmassive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comes to r3h/61 brip fl)te*dk 4ll zis5est after traveling 1i /z 5 ebkrli1l3l)t*d4hpf6 s 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?

  07.11: A cart is initially moving at 0.5 m/s along a: 6vuqnsx :rg80x 5smt 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 travel before coming to ress5tsx0 nv 8:6mq xur:gt?

  08.03: A dog starts from rest and runs in a straight line with a c a;nn/+p(pqfzo 5;xhip z3k7uonstant accelerationa /z7oixp;p5 ;k(nq 3fzun +ph 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 witkw7 gjk:ef n9y;g0u,(e l*h2czrd 3uyhout air resistance from a height h above the ground. If the ball falls the first dl, efkgn3ry*(j h9e:cy7wuz2dg k0u;istance 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 and uniformly accelerate to the right. dcy:/xw;w/ epAt 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 x:;w/yepdc /w Object 2 to that traveled by Object 1?

  12.26: An object is thrown horizontally with speed 10.0 m/s from a height Hhy y3//;tq oqgpg,9easy *w f9 above the ground. The object reaches the ground with a speed of 20.0 m/s. Which onepgy99sqofgyh/ea;y 3q t*/ , w 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 cn;fd0zz* 7f. azuf :do4g/nv until it returns to its initial launch point. Which one of the followinfc/.z0fg az;7zdnf :o vun4 *dg 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 does thebui .zw5r :u2iy+n yvf6:; iv nn3-qce object fall duri2nfyve un3zb;:u:y+nwi6irc .q-iv5ng the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface upk2.ek - h1,tb*wjhd in a time of 12.0 s. What was the initial speed d 1pehw * j2kub.t,h-kof the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates / w p6cer gwq7ehnl315(t:yn t;vm.pq to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cp qn (/wwtc ;:gr31qmyelhet56v p7.nart move in this time?

  14.16: A toy car initiallm6 k22m pu1xydy moves 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 this time is 10.0 cm to the left of where it started. Which one of the following choices best1 m2m2ydpkxu6 represents the magnitude of the average velocity of the car during the five second motion?

  14.17: A toy car initz2 2i;zkpnx dl3jj ,9sially moves 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 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 z s 9322,ixzpj;kljndmotion?

  14.33: An object moves with co4gp2 x2m6c zgsnstant 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 fao)pt-.of 4shh ll. Which one of the following choices best represents the direction of the object’s accelef soht.4h) -poration during its flight?

  13.26: An object moving only to the right comple)- av*j ak vv2t+ay00uncfsw.tes 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 constantu)sj -vwa0c*0 aavf k 2ny.+vt 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 completes a 20.0 secoqaw*3 zwum8+95 m q)jo8po zhmnd 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 magnituu5m 3ahzq*oqw8m+pm o)j9 8w zde acceleration directed to the left must the object have during the 8.0 seconds of stage 2?

  13.33: At the top of q,c1)wc bg piut.4 bj1mh5rw0a 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 drc 04 c5j)q uw,rb.mhbw1gtp1 iopped rock, what is the speed of the ball relative to the rock?

  16.36: On a straight road, a self-dr dhm s.mb4p og:wt 3s20x4-lggiving car races with a robot. The robot accelex w.tgg2 shmpm0sdl:-43 4ob grates 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 ofzgo/i30ru. r f the ball 0.7 oigz.f3 /0rru0 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 height it obtains during its flight?