94.01: Starting from re zec7 1ii:tes/6c4qrx st, object 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, object 261ez/qs7c c rii4ext: falls:

  94.02: A car starts from rest aujn0le t tkmc-)p0v ee)c(v5 gh 8*eq5nd uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car tren -gejh et)emu0 v(t8pcqk5 lv)*c05avel during this time?

  94.03: A ball is thrown offwd3gsi2k3 7fl a high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What wa32 dwlis g7f3ks the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating verticaly4(wfhc g 1we ja)j+n7ly upward at c+1jj )(agwn h4y7we f$10\;m/s^2$. 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 276jn glaps a6, o5d9k l8n+m6yr m/s at one instantns,6kldr p y9 noj68a+6a gml5. 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 acceleu,xt qldkke)vp5 :.gcx 3/0d orates 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 building strikes the grounp d3v r7k8ofzzimj3 0l, zp3a5d with a speed of 30 m/s. Assume air resistance can belzza0p73p8v5d3o j,rf mk z3i ignored. The height of the building is approximately:

  97.09: At a certain time, an object in:3moq sf;.*wqy1 quzi free fall has velocity 4.0 m/s in the upward direction. What is the approximate vel:wyu1q q*3mfioq s;z.ocity of the object one second later?

  98.14: How long musts; 9m0tvd- w+*djoify 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*i yky2,(p2 -ichuu f9iedz3g at 18 m/s. If it continues to fall, two seconds later the object would be moving witiy ydi 92h z-e(ci2ugk* u3f,ph a speed of

  17.02: A small object is released from rest and falls fr./ay,zt)uv: pz0 er-4 bhlysm, ij5ndeely for 4.00 s until reaching the ground. What was the height above the ground from which t0ejz)p ,vmyz5tdn i-ybl .,s h/au:4rhe object was released?

  11.06: A ball of mass =0.100 kg is launched straight c,-k98fw xsqq:;qx l vupward so that it rises to a maximum height of 12.0 m above the l9-:s, qkvw 8c; xxqflqaunch 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 =0.10bbt cq-p)g/5 p0 kg is launched straight upward so that it rises to a max)-b/pgt b5pqc imum 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 launch?

  98.31: An object sliding down ah+,xnrk5kvczl 4d6c. n inclined plane has speed 0.40 m/s two seconds after it begins tc,+vkc z6kx5. nl rhd4o slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward fgl8knjd(ah22xao:)9rl+/kml rl b 8nrom the top of a 100-m tower with a speed of 15 m/s. Coin 8ak o8k(b2l9lg hx r j+/dmalrn:2)lnII 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 wk)hge6,6i0 fr so3twqu p :q3with twice the initial speed of anotherq6ug wt6)pk0heofs,3:3w qri , how much higher will it be at its apex?

  02.30: A box falls to the ground from a deliverdfb,,q ba gq87 rqvb75y truck traveling at 30 m/s. After hitting the road, it slides vb 7rbad 7q,qf8,5bg q45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s near the surface o ie-3s m4quzo,f the earth. After two seconds what would be the direction of the displacement, velocity q3isezmu-o4,and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thp2hs8rgs91n 0 r4huz srown vertically upward with different velocities (1v, 2v& 3v re0ssug82p9n4rh1zh sr spectively). 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 arezk15 lc+*rsek tk6w;v 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 mass r 6kv1ek+ cw5*s;tlzk2M, 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 bounctnzyl0 2mre-2,8df7 ,n cp rcre, the ball reaches one-half the ezrr2 rn0,tyclc fpd7n-,m82height 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 8 hst mdpjvg)( :v9w6ifree fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the p: 9)w(t ij6dgphv8sm vrojectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The cokkiug)9xz f6:jyi0o 7llision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit thg7kz:)0x 69uiofiy kje ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage. One szu3vb -vv i) dq(a1de+tudent suggest3i-(bv +zdq)u1dv v eaed 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 tall is the parking garage?

  05.07: A snail is moving ayv:l) 2ctjsstu (zp9q:( 7 kdolong 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 ofdoq s7(uytcv)kst9 jp z2 :(l: the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pu1h p,wiw hc+y *8mw0vylled downwards by gravity (down the plane of the page) but is constrained to exactly follow each of the frictionle, iymh w0w8y+ph1*vwcss 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 that it takes negligible time.

  06.13: A rock is dropped from the top of a t(x bz8*k ebz 2azfg5ln4ov l(-)5idxjall tower. Half a second later another rock, twice as massive as the first, is dropp* exldx)(k nzjfi(2g85l b -z5 vbaoz4ed. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The c)pcp6d.fts- y 3ww h4yart comes to rest after traveling 1 m. The experiment is repeated on the same track,)hs- f43tpd wcyywp .6 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 movinyph)8u3kio9b jhqwa5(b)+ mog 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 i w 5hho+bo9bi8a)u)qy (j3p mknitially 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 straighi:bxbh a f27q*t line with a constant acceleraa b72q fxb:hi*tion 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) x8i *e ,97la-g8ggrfwjkrgxom a height h above the ground. If the bag *g8l9jr8xa , reigwkf-)7gxll 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 and uniformly accelerate ;t(fo a-y wsmv/a+un; 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 ; ots+afmyna/w( uv;-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 by Object 1?

  12.26: An object is th)*ve(khbrn3ma p1 nd*rown horizontally with 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 the1)n*da nepmhr( vk*3 b time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown smrfqh:p9 9 8o8t eiq;mtraight upward. The object remains in free fall until it returns to its initial launch point. Which 9 mto; piemfhr89q: q8one 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 fall. Throughkkq xe9f0v 4fpu-dlp2*h 6.px how many meters does the obj4ud qvp9h6 pe0*f2kp.-f xxlkect fall during the first 3.00 seconds of flight?

  15.02: A box uniformly slu;(bi cv8 6mdcides 7.50 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of the box when it stcd6ic;( mb 8uvarted its slide?

  14.07: Starting from rest, a (.ihwv,l/(45si if;ma onnqqcart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s.w(vaiq(isq 4hlf5 n ,; oim./n Through what distance does the cart move in this time?

  14.16: A toy car initiallyg 6h(h, ;jptxsnnd5i0 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.(tp,0; ng dixhs65jn h0 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 initialljr2,,xtra w+ zy 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 totar,x tr+a2wz,jl 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 motion?

  14.33: An object moves with constant accelerag/.d:zc1w e.yth;fqbof3*f 72 m puhation 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 oq3 8w4)sch1w dze8lxqne of the following choices best represents the direction of the object’s accelw3)1qd eqlhzcs 4x88weration during its flight?

  13.26: An object moving otm epz j+9o ;0lc3hv;jkhyv u*1;wvg(nly 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 of 6.0 m/s for 12.0 seconds. What constant acceleration must the object have during the 8.0 seckp mtvjgho ;;*1z09elh w+ujv(yv;3conds of stage II?

  15.32: An object moving along a line completes a 20.0 second trip i dp7v* +pm nn5 s3xaxy4,u+d1 y(teokwith 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 t( x7+ vydt,*ns npm+ o1uep5xikad34y he object have during the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a small rock is drop(uxa v /v.vhb-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 ball has fallen 28.0 m further than the initially dropped rock, what is the speed of the ball relatix/(h bvu-avv .ve to the rock?

  16.36: On a straight road, a self-driving car races with a 4wtzt j7o 9g;by. 5qasrobot. The robot accelera5t;zs oq b4gwtay7.9j tes 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 posi gm k+:f-/rokbge6l-ction of the ball 0.70 s after release is the same as its vertical position 4.10 s afte-e+-g:obgm6fc k/ lrkr 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?