94.01: Starting from n()fvkj() zbd rest, object 1 falls freely for 4.0 seconds, and object 2 falls frenv( )dbfjkz)( ely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a fina fovr ,pghu9k)4vojmri;,m(* l speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during this timeh rjrm)(g uvkm;vo*,f4p9i ,o?

  94.03: A ball is throwr51yd0.7g*fg vtbym anz v0 b0n off a high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was thefbd0 yz*tvgm1 0ry anbg.v 750 initial velocity of the ball?

  95.27: A rocket near the surface of the +phou8z j6 em3earth is accelerating vertically upward at683hz ou+pj em $10\;m/s^2$. 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;aj. +x6zl mxt 27 m/s at one insza lj6;+.xmt xtant. 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 a8i h z3oz3c; ,ejf8ma j 9.kffa5oem+gccelerates 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 g+yg, 3lg z:sothe ground with a speed of 30 m/s. Assume air resistance can,3so zg+ygg: l be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free faa4tqsc)(w+7p3k6 (v x5ed+ hskibq gell has velocity 4.0 m/s in the upwardx(+7epc5qb(k w3t6iq as4hg ev)+d sk direction. What is the approximate velocity of the object one second later?

  98.14: How long must a(iku u7f/zpan-ti ,k lb0;ux.js 4n. n $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling ob(alvbao j vd-,/6zfy3ject is found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object would oafvb ad -jz3v/,yl6 (be moving with a speed of

  17.02: A small objecbkb(wf k))gat x 19tn 8.+ytokt is released from rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the object 8xbn tt fta .w1+ykokb(g9k)) was released?

  11.06: A ball of mass =0.100 kg is gnber c 5q7r2;y)* s69 tpmrgmlaunched straight upward so that it rises 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 chom9mbcqr 72 r*e;)pynt sgr6g5ices 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 up -0u v 9;yg.3azqvq s *9r1z;meryejteward 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 ball to reach th rev*ev z9rjq1ma;zqy;0- sge.9t uy3 e maximum height from its launch?

  98.31: An object sliding down an incltxw22 z8v0i 3a8lfka:iwg* gkined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately hoxk3*gi a2a zfitg l0ww:28v8 kw far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a speed ofq-8io hib)xjr/k jz; nw 6oj6, 15 m/s. Coin II is dropped (zero initial speed) from the top of the t ;qwb ikio)jn6o8,6-x/rh jjz ower 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 initial speevmz -h+ o.i+eud of another, how much higher will zi-. hv+e o+muit be at its apex?

  02.30: A box falls to the gizzzlx5v7.ore8 ; 7h a,9s+n8 xahuhzround from a delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it t+8o.u79zli5 h78ha;x nzhz,xe asrv zake the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 6w:sr89 lpb5 rlxdg h8m/s near the surface of the eaxd lgb69pr5lr8s8 hw: rth. After two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically upw (aw -3m)aarezard with different velocities3wm)- (ezaraa (1v, 2v& 3v 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 z;;az5t; *xxtfy oo,kare launched straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum he; ;afx; ozkyx5zt,to*ight 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 sh1 wrq8b 2c ,jl8ap-y473 v i9ybuckfrcown. 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 secorulr9 38wvy8c-2ba, pbfiyc7j1 4cqk nd 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 fro8ynx si5isxk3(t(h/f/ mmr 7 ee fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launchx5o8 imt73siyk/x (h ( rmn/sf from the horizontal?

  05.02: A pebble is drop3toi o j-q+0jfz7c hlbl :o3q+ped from a high vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With +7 hotc- q0: l+zqfb3jj3oloi what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the heignggn5t c,m:q+y v(evw 6, hx)ght 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 q,6 ,mgvy:n5 +h)c(gt w xenvgthe ball to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight la6abl4i -gc)y zt d33fine. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In tzc)36a fadb4-gl 3i ythis coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled dog;k9o8-zu8h( wquv xewnwards 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) necessary for the object to be rel (uk 9veuxq-8gzow8h ;eased 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 t qes+k 3wv+:mjop of a tall tower. Half a second later another rock, twice as massive as the first, is dropped. Ignoring j+w3vm:ke +qs air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cig da)(yf5ikg jf/oe /6djn1/4itk,cart comes to rest after /4je)ffgd ic ko,(5 a 6gi1yki/nt/jd 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 rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. The cart comes to rerxq f/h-lysy-g tp.(+ st after traveling 1 m. The experiment s( pt/fl -gq.y-yxh+ris 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 from rest and runs in a straight line with a constant accedcs dt.ff/mf/ pa22z0-:8ahf xzdqt0le f0h /dt22x d .am/cfdp8zfazts:f0q -ration 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 rzj a.0q,el: pz-j-yeresistance from a height h above they a,e q-z0zj-erp .:jl 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 ak5k )tds5:fhwstwr ni hm zg..33.2 wind 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.swhdm 5h nsiit. t32r.f3w5kzg:wk) 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 thrown horizontally with speed 10.0 m/s f /+h -yzwioy z-ln*,cfoxv .*orom a height H above the ground. The object reaches the ground wi xnoyizy ho/l+,w.fo* -*zv-cth 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? Ignore air resistance.

  13.10: An object is tnp)k,x5;; (dijoi )-sbj t k)riamvm8hrown straight upward. The object remains in free fall until it returns to ivd);n5jj- k))b8r iaxk om;psmt( i,its 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. Throughvus 6 u :asu)fdyw rat,)d*;h:kzb:np1 mt.l+ how many meters does the object fall during thl k, w + r: ut)uas:6dvt;. 1md)hsny:uza*fpbe first 3.00 seconds of flight?

  15.02: A box uniformly sb0njv1do q8.v9lcr2v lides 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 stvo8j2 bn0lcvdq r9v.1 arted its slide?

  14.07: Starting from rest, a cart uniformly accelerat- .3wywn (ilytes to a speed of 7.60 m/s in a time of 3.00 ywtn.i3wl(y- s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. F5z s3wh- m q2pxk1pc.iive seconds later, the car is moving at 40.0 cm/s to the left. The total displacement of the car du23s51xzp m qwkhp.i-cring 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 initially9j.5q wmmea kqn:+o, p 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.pmok:qj 9w5 mqe+an, 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 acceleration starting with velocibjc8 eq 25rcw3ty $v_0 = 5.00\;m/s$ 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. W5ups6y xcna3b*k:z0e hich one of the following choices best represents the d psbn*kc3u5 zxy:0 6eairection of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 2z84x: ,ytddmn 0.0 second trip in two stages, I and II. The average speed of the entire trip i: mtx8 dyd,z4ns 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 seconds of stage II?

  15.32: An object moving along a line co-zv (ti3 fv/ljs6i,c x*wfsj0mpletes a 20.0 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 acwcif* j xjtvf6v sl3i(,/z- s0celeration 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 dr;cea -bcnj2 n)opped from rest. A ball is launched straight downward with an i-cn )cej;a bn2nitial 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 relative to the rock?

  16.36: On a straight ro i.irw.jzat-1 ad, a self-driving car races with a robot. The robot acceler1ijtzi rw..a-ates 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 ver w ;3n8clcf9 3,hza+jko s)niptically upward. The vertical position of the ball 0.70 s after release is 9wozs a,ljh;k) cpnn cf 338+ithe 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?