94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and onbcp0 6(cg j9gbject 2 falls freely n 6g jc90pbgc(for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest an)l7yp --z bddph6i o*+m5ozk nd uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel duri-d+ zi 5ohld -k*zb6o)y npmp7ng this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It*qg*ri3wm 3h2web eizr1 /+ fs lands 6.0 s later with a veloci3e+mqzr/ r* wbe 2w1gif*hs3 ity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerata zk. bgmk9a rl58,s(aing vertically upward at la,5m .8 arzkkg9(bas $10\;m/s^2$. 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 27 m/s at fc:7n9 9 xvfg2f.jt ogone instant. If it continues to fall, ogoffn t2 x7cj9fgv 9:.ne second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accy1jea f(65f:c zpyrm 3elerates 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 is6yy hbuk; u6hne9k, fv +b(*tq dropped from the top of a building strikes the ground with a speed obqy f*u ,u vk e+hn;6hk6tb9(yf 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall hasn)vw r6uvq/ ,s velocity 4.0 m/s in the upward vrs,n q/v) 6wudirection. What is the approximate velocity of the object one second later?

  98.14: How long must 0 b6mng+a uuf8a $2.5\;m/s^2$ 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 at 18 m/s. If it h90 y55(bzhmxrhr mpi(5b6g tcontinues to fall, two seconds lab9r((hr m h xtg0z 56hbimy5p5ter the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for *n 2++rpv4t2)mmpuv0arrt suz ln:z24.00 s until reaching the ground. What was the a r:npr t0nzl2 4*r)vms2uzv+u+ p2mtheight above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straic v/wg //(ri8i(lds)xi m, zoy ke)t2bght 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 choices best represent(w xo2tkbd i(, m8) lig/z)/e /crysvis 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 rises tov4b.4*nij n1 autw5uu.(k1 smm +opgm a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does it take the nk4mam11 .go(uu s mj5 w4inb+tu.*pv ball to reach the maximum height from its launch?

  98.31: An object sliding down an i*uek .*v5ro k7mqiuu)9 tfk;inclined plane has speed 0.40 m/s two seconds after 9keio)t *fui um.r5 qv;ku *k7it begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown xj. oa04cesv9v/0j xuupward from the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initc40 jsxoj 9ev/ 0av.xuial 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 upe/jscp;+c i- rwards with twice the initial speed of another, how much higher will;/ cj+-i cepsr it be at its apex?

  02.30: A box falls to the ground from a delivery truck travelin 2rp (y/tnomkr/4+8zpoo- jfug at 30 m/s. After hitting the road, it slides 45 meters to rk8nrof 2p u/zmp4y(or +j-/o test. How long does it take the box to come to rest?

  03.29: An object is throwhuz+ mp0 bx41mn upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacemen4h0b+ z1x ummpt, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3 -6/qyw5(nju 2sma t 8ume,vpjm) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass ayq 6 p5v/jautjw um(, 8smn-2end 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 launched straight upwyezad 3x ,h7y2ard with identical linear momentum. Object 1 has mass dxay23 7zeh,y M and reaches a maximum height 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 shown. After each bos(vfcv mb*. pev9d0 agr4sl9)gd,9s yunce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the air betgvl.vempb4 d0(vd9gs*a),9scs9fy r ween 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 aftcdlo;-z 9q-o;u lvrf u3mg4b ar fj.:4er launch, a projectile in free fall achieved its minimum speed during flight. If ;z;qvj u-ormcf3l a 944ur:obdf -.glthat 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. The collision+/m7o pebp ll+ of the pebble with the ground below +el7mb/pop l+ 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 arguing about the height of a parking k0/w rgs7j n,fn;9cmm 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, approximately how tall is the0; frs /gm7mwn,j ck9n parking garage?

  05.07: A snail is movin bv8o(g8k3d 7;. hb/dthsfymng along a straight line. Its initial position is x0 = -5 meters and it is moving away from the origitdnb g(8yk3vhs 8o 7/hdmf ;b.n and slowing 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 gravity (down*xw92roa-x*je -ywql 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 that in changing direction that there is no loss of energy and that it takes n qa -9rl -oxjxew*yw2*egligible time.

  06.13: A rock is dropped from the top of -thnb.bhef 9rswy ma39 w-0,v a tall tower. Half a second later anothevt,hsh9mefbwwny3 r .-- 9ba0r rock, 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. Thkta.m)u* oa0;xve vfc9-b pg03d moo4e 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/s0a g9dk)fv-;o0 * bu ovteac3pm4ox.m. How far does the cart travel before coming to rest?

  07.11: A cart is initially moving ato w,lu* pug06hq )hwlals*k*; 0.5 m/s along a track. The cart comes to rest after traveling0 w*q;wp*ou hl6,gukl sl )a*h 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?

  08.03: A dog starts from rest and runswh t6iao87iwy5ibnm 2g:c, e9 in a straight line with a constant acceleration of w,cn6o7mh 9i bye2twa8 5iig :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 ai s k*lyqs2/1k.(nzfwa r resistance from a height h above the grk.*n/s(s21 ayk lzw fqound. 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 uniformt)jpy 2 *q3naely 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 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 traveled2 *pj)aen tyq3 by Object 1?

  12.26: An object is thrown horizontally with speeiw 3kxzun),69tm6 zsfd 10.0 m/s from a height H above the ground. The object reaches the ground with a speed of 23xmnk ,6w9iuf)z tz 6s0.0 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 thrown straight upward. The object remains in free;1bq(ls.)9dk v m dcwn fall until it returns to its initial launch point. Which one of the follownq (1kdws; cd).v9m lbing 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 doff.6)+ ufis iues the object fall during the first 3.00 seconds of flighf)isu.+fu 6fit?

  15.02: A box uniformly slides 7.50 m to rest across a2uzv4 h1l3nx*bu/smp flat surface in a time of 12.0 s. What was the ini1v/b*zu 3uh 4s nmp2lxtial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.6 cg o pqlrh9s5/u:r 7m;bnkc4y+j;o3c 0 m/s in a jc;7mhoc/gs4ro; 5nucyr qk :pl3+9b time of 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initqdr4u/ 2lnclq08w2z dially 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. W0 n/8qqd2rdwllzu4c 2hich 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 rightwi* :ifcyiw*5 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 representsfw5*i y* iciw: the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with constant acceleration s; 8 : s7(3uus6lqbx2osnmt+ktz /mzh etarting 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 whiv , jtnv4kigb5, 7e261pc.v xfarh)wms 99biyle in free fall. Which one of the following choices best represents the dinw4 gev2).ijtbry5ci a k97bm ,v v9, 1x6phfsrection of the object’s acceleration during its flight?

  13.26: An object movingy uud5n: yv*(m only 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 durnym5:y d vu*u(ing the 8.0 seconds of stage II?

  15.32: An object moving along a line 65py,jo b7 ktucompletes 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 vejb65,y opt7 kulocity 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 fromr8azul 9 *6f a0l(qfosc. ;1d9rmslpdmsp -/v 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. W l/ 8* s-. c9um9l0zrpasfs6d fvrla(1mdq;pohen 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(hoq *7ts :)n,mfqjjr, a self-driving car races with a robot. The robot accelerattq,s:)moh f nj7(q j*res 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 ve hlphf3:yq tvk-f(69prtical position of the ball 0.70 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 i-h: vflth k6yf qp9p3(ts flight?