94.01: Starting from rest, object 1 fav7. 7fs3omcor+q2oa ;j- iwa it1fpk3mn8c6a lls freely for 4.0 seconds, and object 2 falls freely for 8.0pc27q ;3katc16m+ jonv. o3rosfi -fa8m wi7a seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniforc)((g le1hn faalxatq/ v/c uk3s1: j8mly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the carh1 jxa n c((1tllc/a/ eg:u8akq)sv3f travel during this time?

  94.03: A ball is thrown off a highy15r gg p4(ta mya2h(a cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was thgmyh( ga45r(apat y 21e initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically upward lk*,+: ;jly 5jv3l zgym1icgl at lm *ilyjg5,+3j cvky:zll;1g $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling bodbr qh *7jqz99oy is found to be moving downwards at 27 m/s at one instant. If it continues to fall *rq7b jhq9zo9, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and a 08pu 56igvzd vcynykg-s*..fccelerates 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/hs 3wry2 xkcanuchrmy5*i58 8axc- 5g strikes the ground with /xh m8yaxy su5na h r*i85wk-3c2cr5ca speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain tii .b -qevjjnu0,k cl0;me, an object in free fall has velocity 4.0 m/s in the upward direction. W-,l0iub 0vq n.kjcej;hat is the approximate velocity of the object one second later?

  98.14: How long must a g mh ;a* ();inejjx9jk$2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling objec(t-nysb jjx*3( d84+csvlnl9zpf+ el k.u4 s bt is found to be moving downward at 18 m/s. If it continues to fall, two secondse+jd.spb+uj 4y lflcs8n-(vb9 xn*zt lk3s4 ( later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freeukmgt12;)l p hly for 4.00 s until reaching the ground. What was the height aboveh )1tm2lu pk;g the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so thajj ld0 (ecppp1q+ f.l/t it rises to a maximume/pq1 .p ldc(0l+ fpjj 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 6ijf *g;a0t/dr9bxhwso that it rises to a maximum height of 12.0 m above the laad0hfbtx wrjg*i 6/ ;9unch 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 pla( blq,kat*af6,q a*ru ne has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in taka,b*rqu,a q tfl (6*hree seconds?

  98.40: Coin I is thrown upward g1q ,++hhx9zbvdts )qfrom the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.q9+qgd ,)1 xbths+zhv0 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 upwardsic*slq)*6e wf with twice the initial speed of anothfcl6 *qe)iws* er, how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivesd a.4v/ h cn+r-2iwvbry truck traveling at 30 m/s. After hit/-vdc+i hb4rs2v na. wting 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 of 30 m/sarcpszk,b637k4;kodsowece 9d hd 2/ 05jq7 f near the surface of the earp4c5zd30q2deb f,7d ksco69k/j; earhkwos 7 th. After two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass g7u +*f/ n:ouk6 mvixa(1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of eacxk/io 7f:+u*a nu 6vgmh stone. Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upward xo 1 m-5 ,li9:nt 5srddjpy+khwith identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If 1x -,hto5n:sdk5i d r+py ml9jobject 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 ball yq5ohsg+u, 2v reaches one-half the height of the bounce before it. Ifv,h+gs5u y2qo 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 free fall acc*e iah3wjw*q7 c)z0 , nticox2frf8)hieved its minimum speed duriwejz ao8) ,*qcf2 * c0xi)w7cfnt h3irng flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff.bst 2l c*-y:g23 zobwf The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore zy3:w2sc 2l b-tb*fogair resistance.

  06.03: Three students were arguing about the height of a parking garage. Opl(. dziv n7o 5)+k n:yf-um3lqoc) dvm-nw7 une student suggested that to determine the height of the garage, they simply had to drop tennis balls from t md7) cw: )no(3fn5 mqv7pulokzydi.-ln-vu +he 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 along60en1, q4 0jqg6zy e yjpnkr0w 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 of the initiwepy0qkq n,6nj 40eg r6 zy0j1al position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravi+ q *+0wyya-cq h6y jfy+ae/rcty (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 point B. Assume tq/+ -hyy +*0weayca+ qrj cf6yhat in changing direction that there is no loss of energy and that it takes negligible time.

  06.13: A rock is droppe( 6d0deo6o7xb.up bcta -lo2 ed from the top of a tall tower. Half a second later another rock, twi-p a0xdd e(o .bbtuoec2l766oce 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.sz*r0:s v;w7ajr ..zj zilur 7 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. Hzsuirzvzjl* s:.rr7 a0. j7;w ow far does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0(1 r(7 mywdzx)hohu8z.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. How far does the cart travel before coming rmh w xdy()h7z(1uzo8to rest?

  08.03: A dog starts from rj.u5l.o+awdrk -ft y3est and runs in a straight line with a constant accelerak-3r.j+oy.f 5aldt wution 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 resistazf;jb5d;jj vfawtz9;+wj g ,*nce from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the remaining distaj aw5jtg 9+jf,; ;zfjw*bzdv ;nce of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At time.p1 0 2tu(gs,ecclg gnrtv8a : 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 :2tclcut0 8gne1.g ra p(vgs,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 thrown horizontally 4:amd/tbtr i0j a a-wowf11ohd(9)kc 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 the time of the object’s flight to the ground? Ign om0iawt4kj-a1(f 9c: d )wtoa/bh dr1ore air resistance.

  13.10: An object is thrown straightlq/t3kl+tg5 / ci af9dnrzt0*lm*7sw upward. The object remains in free fall until it returns to its ini3w0aftn7t s*mz gtl9/* ll+d/qr5 icktial 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 f)-lkw v m*jo:mall. Through how many meters does the object fall duringmk)lj wv* mo-: the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surfa. ylbuy-+zv*e nn) )fkce in a time of 12.0 s. Whatn)-zvyk+nu*y.l )fb e was the initial speed of the box when it started its slide?

  14.07: Starting from re tq48umoxfgygpy8 ;a dsu4*:w:qq 73ist, a cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart m4: tif4wy 7gqd*y:o8 p msqxuau8q;3 gove in this time?

  14.16: A toy car initially moves to the right at 60:l8(k na0toak3-; sx8mxsjiiv6 o r)f.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the (o o k8tn- )almkax0rv6s3 j 8xi:;ifsleft. 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 initi:h pp5eo*;ty6djr ic2 77gm really 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 choicyet*ir p 2hpocrgme:;7j56 7 des best represents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with constant acceleration st 9o +-71j8a9dnxk rku1r bekmharting 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 ogp5fwh-nkqy x)r7ir+c49ou/f g7m:upward while in free fall. Which one of the following choices best represents th 7 kxpw4 /oo:c-ry7fh g)5nq 9rfmi+uge direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second trip in t(9ybg6 c n;jfcwo 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 cons(yf n9gc cb;6jtant 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 s5)2w qwp6p cunecond trip with an average speed of 10.0 m/s in two stages. During stage 1, the object moves with a constant velocit 5wc)6 npwpu2qy 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 stage 2?

  13.33: At the top of a high cliff, a small rock is dropped froq (z xr7h-slr*kl;m9hm 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 tha(9lm xk*zl;h -rq h7rsn 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 witwx*o8o6k)a 2as+ o qqv5sw6fnh a robot. The robot accelerates at8)k ss q5+* nfoq wvwo626xoaa $8.50\;m/s^2$ 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 posin j i4)r:it;p0:zl ubgtion of the ball 0.70 s after release is the same as its vertical position 4.10 s after its rl)npgjzr: 0 ut4;: biielease. At what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?