94.01: Starting from rest, oba(.pueh /rp:n siyqn kl .z6/7ject 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compareu7pa.q6 :r l n yehn.ip(s//zkd to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed ou1 69gxb jc wpzzec1.430bf-;jr wf odrqo7 n6f 20.0 m/s in a time of 15.0 s. How far does the car xbjq dcpbe6; 1rz 4f gjwouo6937 fw.-0 nzr1ctravel during this time?

  94.03: A ball is thrown off a hqobe-,kok agyta tl,2*.. r(oigh cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of the2o-bao.ekrlqo ,ya .k*(, tgt ball?

  95.27: A rocket near qyqt *i 8m1,wmthe surface of the earth is accelerating vertically upward *y8qm ,imt1wqat $10\;m/s^2$. 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 downwa 6s+y sp9-353vimf s:fd jwtolrds at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward velocity closest tols633of:s wm5+jy dv i stp-9f:

  95.39: A car starts from resa -wnaewz.;0et and accelerates 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 bui1tw71ld: kr qn --qhdxlding strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:dqxhdqwr :k lt-n1-7 1

  97.09: At a certain time, an object in free fall has velocw ztdi*hbx 92 p3t5*f2bi;vq yhfh3:b ity 4.0 m/s in the upward direction. What is tqvf yx :d9wzf hb3bt 325ihtp2hi;*b*he approximate velocity of the object one second later?

  98.14: How long must a dm sgs62yl)5 4l inr)v$2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is-4tvda4l:z:8r n gi ng found to be moving downward at 18 m/s. If it continues to fall, v::-tdg g4nrz4 8 inaltwo seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.0077y8 zh-5(patko+vjsk + 7yqzkz bub6 s until reaching the ground. What was the height above the groua8-7 (z ++ bqkt7z75kkho6vpyyus bjznd from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so that it risesj9;o/a, z+ 3bc 3adzoz px5cci to a maximum 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 the9 jbcc xda+oip/a o,3;5z3cz z magnitude of the net force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of massbbnm9+ kxmz 4) =0.100 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 bal+n )k mb9mb4xzl to reach the maximum height from its launch?

  98.31: An object sliding down an inhi+ym a iz+.xv74 6s kez1llr1clined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in three seconds?zlshk za r4i7m.6vli xy+11+e

  98.40: Coin I is thrown upward from the top of a 100-m-vt7 oj),l+ ,k: qhzeub-eps j tower with a speed of 15 m/s. Coin II is dropped (zero initial speed,pul eh :z,-v)tboeq7j kj+s-) 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 initiae4(5yvb7 vvjy-jbm)uhg / yic5,9 v fgp:i9cbl speed of another,yfju4im -ibp9: 5 c5vv9yvbgvyh )(7/ gj,bce how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/s. Av egut686 *i 3a(l)wo *aak tybzs2.twfter hitting the road, itzvol.ag*is) 2 *ukytw w6(taa8t 3eb6 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 of 30 m/s nea g lkm(w- mo)hh5.crf)r the surface of the earth. After two seconds what would be the direction of the displacement, velocity and accele-r5(f lh h wmk.))mogcration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically upward.zu a4 i*9d-d9wjt 50z-u klmyja ,/u4c uzprh with different velocities (1v, 2v& 3v respectively). The 4aa./muzd4,pjchu-t*50d9rljzzu u y-ki9 w 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 launce*4wim tf:d2d7ss:bm ydz urh 4m 025rhed 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 2M, what is its maximum attained height t : *4zmdfd brimms2:2 sh 7504dwueryabove the launch point in terms of H ?

  04.28: A rubber ball bounces op+krko+wjz ;v e0ccq89r1q:tkpi .q-n the ground as shown. After 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 qk1 jvc8wkq+ .:k9i;zp ro ce0-+qtpr1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after lt1zdo1* f 5uzsa3ehqbdk/ : .aaunch, a projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was t 3.ku:1 hz abza1tdse5d*foq/ he projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. T)mki o12v ;26gqs uokoftr. v:he collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. t 2rvo mqk.6 ou:;sgif2k1)ovWith what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of 49aye9 gzt);6k f/*p tsez. lg f+ypzea 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 ball to fall was 1.4 seconds, approximat+ ge/sk9ye eyflgz6t4fpz ) *.z9ta ;pely how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initihlg7 cxvo l -no+ /0fe1wd,v1gal position is x0 = -5 meters and it is moving away from the origin and slowingo- 7lv ,v1oelwchn0gx+f /d 1g 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 pulled downwards by 0 doff 2wa3fl8a8-guhgravity (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) nfh2 3l -a8g0daf 8ufowecessary 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 tall tower. Half a secos:n nzs7(h** icd p ysi +he2e1ym6xb2.s)k wjnd later another roni2+kj d.hbz* y7 1i):c6sheessnm(w* xsy2 p ck, twice as massive 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 ru,jy r hmh4stk tkii6vsb/nm87(*v, 7 est after traveling 1 mh7 m k t,thkvvib/r6u(sn7* 8 jmys,4i. 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 track. The cart co odg.8z q6c8g.aje;o9 ldrad3mes to rest after traveling 1 m. The experiment is repeated on the same trajog 3agd d8cra q6eo8z;d.l9. ck, 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 inv(cqlwq9 :e (z a straight line with a constant acceleration of 2(lcq z qw(9:ve$.5\;m/s^2$. 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 height dt5b2 sp3seva6- rojghu/n+y +sej61 h above the grn 6rvhs2tsj6eupy jo3+ba/+-g1d5seound. 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 and uniformly acceleratecjc(-wudc;oj :r ,0uw 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 accelerationc duj ;r-u ow0,:wcjc( 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 throw- zxj)elp3 u3.+f8f :6jk ll8k3mhtv jkbrk5 qn 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 followi-v)eq+jtkxz.fku3:h3l3 j 5rf8l lpj68b km kng 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)lozt .. o+;ivb o*gfp object remains in free fall until it returns to it.+; )oi. fbtgvz*olp os initial launch point. Which one 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. Through how many meters does th(jnqoy5pu(b rol*4x/j +lsp/ e object fall during t yp( r*q4s+5xjnojuo (/ /llbphe first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a timhl(nxwy( ajfv) 7u7t*e of 12.0 s. What was the initial speed of the box whenx* a(j7)(y l7vfu twhn it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a(7cs o6hff((mcvdp( m speed of 7.60 m/s in a time of 3.00 s. Through what distance does the car(dcmpmcv 6 ( so(h7(fft move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five pmwk:6e lw oco. ,g4ng0j-,uqu)kdd5seconds later, the car is moving at 40.0 cm/s to the wwqe u,-ldon6ujc) g, dgkp5 .o0:k4mleft. 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?

  14.17: A toy car initially moves to the right at 60.0 c4w wj g57oe7r hn2cx;mtt 8j;zw rnj-8m/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 seco;eh zjo ;r4c n tr8n7mjwg8ww75-jt2xnd motion?

  14.33: An object moves with constant accev .7f rpsk/gn3leration 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 i )9a h0zj.ni wd9u6li54mbinrn free fall. Which one of the following choices best represents the direction of the object’s acceleration during its flbwl9 0 irj9i 4d.nuah)6n5i mzight?

  13.26: An object moving only to the right complp6w z*wrm0iv (etes 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 0vpz*w(6i mrw.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 2b+6-* kzyrjik ry5x*1 v;me xd0.0 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 l b1 ejyyzk*kx-6 vm+xri;5rd *eft must the object have during the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a smannyn xjz 5cbn h2aaf(i;2 s7ub-py)87xppi*: ll 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 wz-yh(n b75 i )psy:2nib jf8ncxpu; 7ax*p2 anas dropped. 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-driving car races with a ro6o fbwm4 c+mmn f-mlh)7.wpo, e:rv 6cbot. The robot accelerates at +f6 f ow7 -64c.mwmvhc),p rnbl:mmoe$8.50\;m/s^2$ 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 vert96uyl aq6e 9vv;2t5qfhh8vym ically upward. The vertical position of the ball 0.70 s afterhvq52l 8 vq a9yhtm 9yv6fue6; 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?