94.01: Starting from rest, object 1 falls freely for 4.0 seconds, anuy45cr mqoaim )pa;a1bh u 9,9d object 2 falls freely for 8.0 sec ,9myu1 caa rb5;m uipahq)94oonds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformlfnro)(+vi v, cy accelerates to a final speed of 20.0 m/s in a time of 1)(fnior+,c v v5.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no1,qys daep t)dj++xe mm-0n/t horizontal velocity. It lands 6.0 s later witty sd10 p dq,m-t+mj/+ n)xeeah a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near thene t)y qm x0jrl6bx1*- surface of the earth is accelerating vertically upward tqex6blj1)-* r0 nmy xat $10\;m/s^2$. 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 pu1tlw u;j/f* be moving downwards at 27 m/s at one instant. If it continues to fall, one second l 1p;lu/fu *tjwater the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and2gs ) q( iojth-crkmx576udl, 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 building strikes the ground 2o7 ycyvq 5a-rwith a speed of 30 m/s. As-cyv 5r7ya 2oqsume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has velocity 4.0 mo: ccf 952otwh si0cx d)6zfu3/s in the upward direction. What is the approximate velocity of the :5c09ch)sixd of3zcwu 6f2toobject one second later?

  98.14: How long must zqm 7sfqb( ;6la $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object i; 5 i;g.m7ri2uzdjq wws found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object would;5w z;g7mru id jq.iw2 be moving with a speed of

  17.02: A small object is re +r 2)+.1n lambkyvvxqleased from rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the ov2k q+ nyb+1mr.xlav )bject was released?

  11.06: A ball of mass =0.100 6s dwi i6q9eww4lyj.fw2(gx/ kg is launched 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 choices best re i2w. 46wyefg/siq x(ld9 w6wjpresents 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 . ftt -y89e6r ynvwrg)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 ball to reacr) rgv9fy.8 tt-y 6nweh the maximum height from its launch?

  98.31: An object sliding down an inclined plane has spekv*r36b:m z kzed 0.40 m/s two seconds after it begins to slide. Approximately how far do3m: v6zz*brkk es it travel in three seconds?

  98.40: Coin I is thrn :dsqxbht6x+ f1,ux/ own upward from 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 2xf1/,: t xnshu6 qb+dx.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 te.bwtvcky4r +dz7s*sb 5 f9 nan7a2v 5hrown directly upwards with twice the initial speed of another, how much hi.a ssd24tev7zb ar9fbkc nvy n7*w +55gher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck travelinf /o *.fsfo(4vs wdbo2g at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it tak 4fofbwv/s2s ofd(. *oe the box to come to rest?

  03.29: An object is thrown upwards with a velop9x+ujo(-sh b77tff m city of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity and accel(m7hbj -x ps7tou+ff 9eration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertijt hve 30-.ge;/t sydscally upward with different velocities (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. Assums3e h;tvje-s tdy/0. ge air resistance is negligible.

  10.25: Two point objec1z)furad:f ip;n ju/ xhv0k55 ts are launched straight upward with identical linear momentum. Object 1 has mass M and reacku/aj f f;hvz d:)ux 51i0rpn5hes 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 bounce, t/zdk0p0.f gjphe 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 f0g0 /jp. zdpkbounce 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 achieved its minimum sxagle5kgnw3 b )5g(q+peed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial anglbwx g)5k3gln g(5q+eae of launch from the horizontal?

  05.02: A pebble is dropped n10;ee1 xea5o oz.ap fpd; k*bfrom a high vertical cliff. 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 air reeo.;1 faea1dne x*;ozp0p k5bsistance.

  06.03: Three students were arguing about the height of a parking garag78ji6hbfw.s2cbp 5 e xe. One student suggested that to determine the height oiew78c 2spjbx.5hf6b f 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 along a straight line. Its initial pqapm 0zc ;+t.bosition is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate sy+0tbcq m ;p.zastem, 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 the pla iwf3d3 mo;j5une of the page) but is constrained to exactly follow each of the frictionless pathways shown;id 5uoj 3mfw3. 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 fysaj2wmcnd( 6v1 99* s*vx(zd o2vevgrom the top of a tall tower. Half a second later another rock, twice as massive d odg(e1(c2vxvavsv9*y*926 zsnj mwas the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s al2-9dedsflku 2 ong 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 thefs k2-92eu ddl cart travel before coming to rest?

  07.11: A cart is initi;ugq )kkuf wx,4*em p3ally moving 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 initially moving at 1 m/s. How far does the cart te *u3 k g,kq;mf4)upwxravel before coming to rest?

  08.03: A dog starts from rest and runs in a straight line with a constant accelbusof51 t :*tu6 ql/eberation of 26:u*t5su /tbbfelo 1q $.5\;m/s^2$. 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 h a8cr 7nwmc:,t(yt2 fn:thm1lhbove the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the remai:m1 7h (rn2thwny,l8ct :cmtf ning distance of 0.5h?

  10.38: Two objects both move and uniformly accem 8mu)y57o f9 me2nndllerate to the right. At time t=0,th7mn2 ld5f enoy 9mm)8ue 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 traveled by Object 1?

  12.26: An object is thrown horizf a8/qlw, 3xixontally 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 obje8 xw/,x 3alfqict’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight vt 33 6yt .7u,nat pdtacqcvy(q2f--lupward. The object remains in free fall until it returns to its initial launch point. Which ol q3 a- a(7vcq3tdyft6-pt 2cnt, y.vune 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 maner0ywwt nh 6)/y meters does the object fall during the first 3.00 seconds of w/n6)0r yhewt flight?

  15.02: A box uniformly slides 7.50 m to reg5n pnrueu3u;n1x-:a9 lhw6atuq(* z st across a flat surface in a time of 12.0 s. What was the initial speed of the box when it started its su5;n:x ut9u*-ha zpw(nqgr6ul a1 ne3lide?

  14.07: Starting from rest, a cart uniformly accelerax : ouk0inqdd(6od1 i-vlk-v )tes to a speed of 7.60 m/s inkd(d -vo d61 nqv0)xlioi-u:k a time of 3.00 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. Five second) wwvr/7dj r1vsfi,b3s 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 sta3f/wv1)s bvdi,jwrr 7rted. 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/ jlj *2glutr, 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 wh j*,g /jltl2urere 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 moves3*y8 gz2j h0h3fd2d hug ce(ar with constant acceleration 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 movinlk;,bj n *nik88 xxd.zg upward while in free fall. Which one of the following choices bnn,kb.l;8 *jkxx 8zid est represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 2 l)mz8x)lc ca)0.0 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 )c )lm8 xl)cazseconds. What constant acceleration must the object have during the 8.0 seconds of stage II?

  15.32: An object mov0le8d:, cmgxnvf bck:/5fa.eing along a line completes a 20.0 second trip with an average speed of 10.0 m/s ing f 0dc/,8clxm:e.:k5 febvna 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 the object have during the 8.0 seconds of stage 2?

  13.33: At the top of a high lp 66pm0m wzm;e tva4j0a1z sh0/0dukcliff, a small 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 roau6vmj4d z pz ; kw0t/01hpmesm60 0lack 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 road, a self-driving car races with a robo7c. qvfbs s+.ut. The robot accelescs b.+fu. q7vrates 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 upwar47mna l 7sitz)d. The vertical position of the ball 0.70 s after release is the same as its vertical position 4.10 s after it7 l7inmst4 )azs 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?