94.01: Starting from rest, object 1 falls freely for 4.0 secotlcq(x6 ,xzijkf 6-)bnds, and object 2 falls freely for 8.0 seconds. Compa6t l(qc bxfz)j -6i,xkred to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a yarnx9o85pph) dsk6lxd: 3v2lx 38uu final speed of 20.0 m/s 9vul82 rp6npy xd8l5axdo33su )hk :xin a time of 15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no hori2/+meqx0bs 6ltf*7mslau qve 7 dak ..zontal velocity. It lands 6.0 s later with a velocity of 40baqmtem ls0+kxdlq*e27 .6 .7v ufa /s m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating venu8 -wss98 wrz3a*zt6nyc wd69got* mrtically upward a gs69swmn8n9rczttya*8 o-* u3 dw6wz t $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is found t,0x6-h p.0fnurndqt)hebe / s o be moving downwards at 27 m/s at one instant. If it continues to fall, one second later the objectsbq0.6 h r-h xeudne,pft0n)/ would be moving with a downward velocity closest to:

  95.39: A car starts fromu jte 5c9e +6noho)j7l rest and 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 )l. ez(us-zw+ wq(6dnl q2g+7y dvl krwith a speed of 30 m/s. Assume air rq2(w6(uv+wlqsr)-7 n z d+lg dyzek .lesistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an objectjzy.-16kl yxu in free fall has velocity 4.0 m/s in the upward direction.ylk xz.1-6yuj What is the approximate velocity of the object one second later?

  98.14: How long must 5z0ga .pk9d(lemzp: 8) vs dwja $2.5\;m/s^2$ 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 18xn, .okfr;cy, o hpy7i;ro)2p m/s. If it continues to fall,;x 2opycy7o,o;pnhf,r k.)ir two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.03xe k,q9 2yxmt0 s until reaching the ground. Wh 2,xtx e3qmyk9at was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 jrf8jy2-t uk/0ogu zn,a 6cz4 kg is launched straight upward so that it rises to a maximum height of 12.0 m above the launfng 8yc z4 ,-6jzu/rj 0u2aoktch 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 launchemv) :gxr*3ief c(r u5:xhb+qgd straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approxim*umci:) : (gxqger3f5rb v h+xately how much time does it take the ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclix4f w0 iel3(sened plane has speed 0.40 m/s two seconds after it begins to slide. Approximately0ilewx3sf 4(e how far does it travel in three seconds?

  98.40: Coin I is thrown u(n 5jfq 9n2- mai64-ifmfor uepward 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 2.0 s later. Assumef5uinn694 re2oj -mmi-q fa(f 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 twicdu4t5xk3o kc k 3.)s bucq:3yte the initial speed of another, how much higher wicy kbox4 q.ct3uukd:33ks)5 tll it be at its apex?

  02.30: A box falls to the ground from a deliveryn+q56 dm zyh .wdua9od, y4xs( truck traveling at 30 m/s. After aqhsom.dx(9 5nz uy,+dy d46whitting 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 uxb/:eipzyxwaar2j wq x8*8 r y:a*st / 1y48eof 30 m/s near the surface of the earth. After two seconds what would be the direction of tbpa*j/uxx4*:a y8qsw e8w ayr28/1y e z:ritxhe displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (ku5;o f,x-( r(bbj9 lxuuok8p1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates to( ubx,9pk-lxu;(5rf u k jb8ohe 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 are launche atqo o:da4zc.t5 n1ua(e5ebmhe5o-)d straight upward with identical linear momentum. Object 1 has mass M and re:ecqh (5btt- .oa)aeo4znu oam 1 e55daches 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 eyg w; /4ybifpij h;1u.ach 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 second bounce was 1 second, what would be the time between thei1/bu.;4i pwh ;yjyg f second and third bounce?

  16.21: At 1.94 s after launch, a projectik8r/6ula24,vw,a tpgwa oymr9*pti, le in free fall achieved its minimum speed during flight. If that minimum speed was 15.i4t gv/wp,l8a*,wmyt2o ,a9raur pk 60 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 of the8+8n.w sxk2dokc rfd- pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With whc8sw8nkkx od+ .dr2f- at speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the heiggmo-jwbvc2t0 r8l + ,yylc. c0ht of a parking garage. One student suggested that to determine the height of the garage, they simply had to drop tennis balls from the 0lo- bjmvc 0 cytwcy,8r+l.2gtop 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.t1 .vjn8(clue 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 initial position, initial velocity and acceleratu.(tc1lj8e vnion, respectively, are

  04.38: A small point-li4cvu9 5; plfka6 e2adske object is pulled downwards by gravity (down the plane of the page) but ied;k92 p4a af5lsucv6s 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 negligible time.

  06.13: A rock is dropped from the top of a dbz3e0pdsdu v24zv.l w9si19 tall tower. Half a second later another rock, twice as massive as the firstlzed9 dvvsid19zs0uw p2.3b4, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.2 570okpksvct5 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 to t570 opk2vskc rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. haxu 71y6m68shzk)vkjv0 n r,The cart comes to rest after traveling 1 m. The experiment is repeated on the same tr0szajkvmu8yx6 7vhh1 kr ,n6) ack, 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 jsf 0zh:8d,f5cvs )ta constant acceleration 8 c:5 fzjs,atd0)sh vfof 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 atxi 7o d*k;vcby h6;ne, rest falls without air resistance 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 ;,xkyb v6;n7oih* decdistance of 0.5h?

  10.38: Two objects both move and uniformbsk/ k0bqrz7 m-3 ud/xvy8g*kly 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 t7 / z8grbqk3dxbkky*u/- 0s vmraveled by Object 1?

  12.26: An object is thrown horizontallyd/:ky o8k9qis with speed 10.0 m/s from a height H abov /k:i koqd89yse 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? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in free fall uh-hlorr ma0zb0wi 4-1 g28 yvjntil it returns to its initial launch point. Which one of the following graphs could represent the vwyj hr 8vri214gol0z-a m-0 hbelocity of the object as a function of time during its flight?

  14.03: An object is dr;v qp8ayb( g.hopped into free fall. Through how many meters does the object fall during th(ab8 h gqpy;v.e first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a time ofah .uf;*z38tmij0xnfp +muq37sgb r 8 12.0 s. What was the initial speed of the box whsaj ut qi gr;83z3bhm+n87xfu.f*m0 p en it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 m/s kulhf; iio 87/in a time of 3.00 s. Through7 h8/uioiklf ; what distance does the cart move in this time?

  14.16: A toy car initi-g*etuvb c03w ally 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 choices best represents the magnitude of the average velocity of the car duri eg*-u0cbt v3wng the five second motion?

  14.17: A toy car initially moves to the right p zbb. ;p3et)+umnot)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 obpnbeu)mt.p3;to+z) f 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 wi41b) pp+-:+ chl60hkvrvlr9rl ygc xoth 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 moving upward while in free fall. Which one6*;7*qhupr4cz.k) spm.k znegq 5mv j of the fsne zm j 45)ukcvgr*p.;khqp7 *mzq6.ollowing choices best represents the 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 two ( /oiexl-h/3zdyy2og 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 hao-ih/2 ygx( e3ylozd/ ve during the 8.0 seconds of stage II?

  15.32: An object moving,rmx;pma /i1u 7y 6usu along a line completes 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 constau up6 i/sm1;,u7xraymnt 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 from resfpctr:9fz q )5t. 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 than the initially dropped rock, what is the speed of the ball relative to tf:cq zp)fr95 the rock?

  16.36: On a straight road, a self-driving car races withrjz45d 59hvv f a robot. The robot accelerates at z45r j59vdhvf $8.50\;m/s^2$ 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 launchh o15tk 6d u51dfxto*led vertically upward. The vertical position of the ball 0.70 s after release is the same a5f1t6od5 ot1d* lkxu hs 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?