94.01: Starting from*faam 6li(1q,tpmvo nv 7)0ve rest, object 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compa60i,p*qf)nvml1mo( v tva 7eared to object 1, object 2 falls:

  94.02: A car starts from rest andq50ofb5aib 0culnia2 3t74t z uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel du0 nuati5b7bzc ai qt20o43lf5 ring this time?

  94.03: A ball is thrown off a high cliff with v. eeisi *fd 7cx,us:-no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial veloc7:s e*ix, ucf ivdse-.ity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertica p (q8 8wi,ttwmftnf/5lly upward aw8ptn, t/wmff i8(5q tt $10\;m/s^2$. 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 downwartcwsely,h)rb )m2-. q ds at 27 m/s at one instant. If it continues to fall, one second later the object would be movim .,hb2)rcs telwy q-)ng with a downward velocity closest to:

  95.39: A car starts from rest and accelerates atu q-ennl0f9-3tg xu4n $0.80\;m/s^2$ 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 p, 6jn nhrm(*cnde 2x2+2e dkxtop of a building strikes the ground with a spexe d2k2nd2cxnm n jp+e,r h*(6ed of 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 fr gp3om tt*eayl.02slynh0zmieo 5. )5ee fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one secot0a5 yeoopms 25gme yhlz3lti..n* 0)nd later?

  98.14: How long must 3ll 0p+ta,dyc a $2.5\;m/s^2$ 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 dopr p:.kc(bu ky4ikv2 d;x caq k1uw)59wnward at 18 m/s. If it continues to fall, two seconds later the object would be moving with w54rkxcdp. kucvq1 ;2(bk :9 p)aiukya speed of

  17.02: A small object is released from rest and falls freeyv.eek yt 5 i8:m k(pnr7q)ug3ly for 4.00 s until reaching the ground. What was the height above the ground from which the objg 8 ye)kn( ytuv5:qpi73mk er.ect was released?

  11.06: A ball of mass =0.100 kg is launched straight upwa:yav jm10 jvd(rd so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistaj 1 (vjya0v:mdnce. 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 launchembjbuo4 016s d :hp*uybp:o3qd straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much ti0 myu bbhspp ::1o36q4joub*dme does it take the ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclined plane has speed 0.40 m/s tg gip+b zzo q.iq)1-+qwo seconds after it begins to slide. Approximately how far does it travel in thbqgq1ip+)-i z o.+ qgzree seconds?

  98.40: Coin I is thrown upward from the top of a 10rqt3xbu1r p*2 18jyqx lv2yz00-m tower with a speed of 15 m/s. Coin II is dropped yv1urx2q8q2 p*1t y3zbrj 0lx (zero initial 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 dir5 t1yvh-b) kgdewh.;cunig6) ectly upwards with twice the initial speed of another,gewvni 1h)ctb;6-k gy5 u .)hd how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery/ljs6b uz8 21/tvy0c qcqc/dy n 9:uby truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How longl2 /d9y1 : u8vz6unycsqctb/c0jb/y q does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s newmr7he jbvk8 e/ j f9.3ih-0fhar the surface of the earth. After two seconds what would 8if7-vjk9j hw 03mhr hbef/e.be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m.uum ael 66p ;.q jseb96 e)ac)nvzqit6 m.p-z& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone)-b6atzi )e6l np;.9mapc. msq6u 6vu q.zeej . Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are lauealeizrhq5 -0a0ah, 6nched 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 mas hi,-a0a05r6lqhe zae s 2M, what is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bounces on the g7gx39 hqy/g3 d7w xbk6kruwo. round 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 thewq9kw67yubk g ox g .xr373d/h 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 achieved its minqd; e/ p*(ybd5 *dudwutnjv,/imum speed during flight. If tha /uy*dnde/,d*d(uv5w;tp jq bt 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 hb 8,y7d t/ejowigh 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/ety w ,d7o8jb resistance.

  06.03: Three students were arguing 3 r*lewdgqf;e8z3t4yvy-) m2dc-4pay7d ztp about the height 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 the ball to fall was 1.4 seconde;le* t4pw7fz3--cryd4 2dzgdq8p m)tyay v3 s, approximately how tall is the parking garage?

  05.07: A snail is moving along 2 7 r(sh6jmku;ry3 vlxa straight line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system,yxhjrvl3; 2m6r(k u s7 the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pull-vp hzp*r .lxz6y e0u,-hl)jn: h2uomed downwards 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 tim.uj6h ,m-ezl lp) :yh*nv0pzrhu x2- oe (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 from the top of a tall tower. Half a second lat,ro,p)0+ go3 hi9 h ftm0omk1:.azj/z thppw ver another rock, twice as massive as the first, is dropped. Ignomo1. f w +,p39,kttzhphjo 0hra0gmp z):/vioring air resistance,

  06.18: A cart is initially moving at 0.5 m/s alonc+vda2+y jya 1p8crm09 gud brf d8/i3g a track. The cart comes to rest after traveling 1 m. The experiment is repeatem/9ricc b y8d8y31ad v2p r++ag0dfuj d 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 alon6*m qko4qxki y-9*vk pg a track. The cart comes to rest after traveling 1 m. The experiment is repi9o yk4p*qmx*-6 k vqkeated 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 in9ocbw ebfjsg.)+s b6v53p*accelerationfb sbec9+ . )6gsbj5viow*p3n 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 resistance from -ck: 3j o6f8irh( ym4* srt35,r:setolaaawka height h above the ground. If the ball falls the first distance 0.5h i s8awyt 3 hf*kkol-,3ja:( :toarr54i c6esrm n a time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate t q.7+uby df9ggo the right. At time t=0,the objects are at the same initial position. Object 1 has initial speed qygf +gu7. b9dtwice 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 horizontally with speed 10.0 m/s from a height H ajn b+yn- mdt8ue8w5s-bove 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’ts8- nmuw8 ny5-b+ djes flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in fre221jec*k0wj h kakuj(z obb ;1e fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object as a function of time during ze a;1jchkb bu2kw1 *kj0j2 (oits flight?

  14.03: An object is dropped into free fall. Through how many meters does l95--cakf0/bi uy0o nh ofk4vthe object fall during the first 05vakk/cfh o-9b 4oyl0nf -ui3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 mz(ljs2wz )3;y jw:fdn to rest across a flat surface in a time of 12.0 s. lz fdw;zsw3yn) :jj(2What was the initial speed of the box when it started its slide?

  14.07: Starting from rest, q3rt(fyvh9l0d m1 f +ya cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move ind0 rq9t3+ v1l(hmyf yf this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five seconds later ;pgl7p 94wmu4okr1k f, 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 velocity of the car during the fikl rppm1w u44gof; k97ve second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. Five seconds later ,p1 d/rzk13fyf+qi3 h(bvnwz , the car is moving at 40.0 cm/s to the left. The total d3ywbf,11rpfizn 3 z+kdhv/(qisplacement 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 second motion?

  14.33: An object moves with constant accenj:7tja i:vs1 leration 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 in free fall.w zh2 omaf19gi3y x e8*mhbka8un1 ,7s Which one of the following choices best represents the direction of8gs98wa,of 1 *ebnia2m7zymk 13uh hx the object’s acceleration during its flight?

  13.26: An object moving only to tf vl;5xu+gpv:wb )d.jhe 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 mus5jx)lvg;fwb: dv+p u. t the object have during the 8.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 secvlud.)pxq 4n:ond 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 accelera4 qu): pvldnx.tion directed to the left must the object have during the 8.0 seconds of stage 2?

  13.33: At the top of a high 5*mj , mwvh6czerv*e6 cliff, a small rock is dropped from rest. A ball is launched straight downward with an initialmevzc6 6, rwjm*he*v5 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 road, arr mu-)c (kf*-c;p9v)r pjnp1tc sl(p self-driving car races with a robot. The robot acceleratekcrcp-l f)1ut* vscrpp rp) (j( ;9n-ms 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 verticaltjhpk ibq fy;d+5o b9y j3*.x6 position of the ball 0.70 s after release is the same as its vertical position 4.10 s a*qj3pjbfh xi o+y95bd;y6. ktfter 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?