94.01: Starting from rest, object 1 falls ewsd8*c km04b)u zt:w freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compam4*8zc : sb0tk ewwd)ured to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final sp/ i b(,a+1hmtmvf8fcieed of 20.0 m/s in a time of 15.0 s. How far does the 8imv+ (1imhb,a/f fc tcar travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontj appi3 iu6e+6al velocity. It lands 6.0 s later with a velocity of 40 m/s. Wi u3ip6jp a6e+hat was the initial velocity of the ball?

  95.27: A rocket near the)2 ;c1g ogq5sndhfw+ s surface of the earth is accelerating vertically upward w5+d qg2sh ;1s gf)ncoat $10\;m/s^2$. 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 movin 5 j-brsue-kn)f o*f4vg downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving wifrv)nko-s 45bf ju-e* th a downward velocity closest to:

  95.39: A car starts from rest and accelerates agzw7vc/x 2 cb7-c. mxot $0.80\;m/s^2$ 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 x9ai eyy.yb4y0*9qv l((x il qground with a speed of 30 m/s. Assume air resiy4b* yy( q(lx9 q.i0e9lxaiyv stance can be ignored. The height of the building is approximately:

  97.09: At a certain time, ac-y2ka z).wd9 nm3trn8a j:min object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object 8- )wmrd3ica9:2kmta z.nj nyone second later?

  98.14: How long must 1hh* iq2fr( k8pfzj b8a $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object ix )rq yid(37urs found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object would be moving with a spee7yx d(uq3)rri d of

  17.02: A small object is released from r: wfi-* k2jmmdest and falls freely for 4.00 s until reaching th*:wmm-kd fij2e ground. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward sb0sjbe9d (dg 9o that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. When the ball reaches sj9e9 dgdbb( 0its 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 .4mm(k*dd kmhf y)j/p-eug4g kg is launched 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 reach the maxpkfdj .um4g(e/h m 4k-*mdg)yimum height from its launch?

  98.31: An object sliding down an inclinedk4)mu o.yad+d plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in three second ka u+)ym.do4ds?

  98.40: Coin I is thrown upward from the top of a 100-m dumq o*j:36ul tower with a speed of 15 m/s. Coin II is dropped (zu lqj o:3u6*dmero 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 directly upward,)avinr . w,0 tjob-ixs with twice the initial speed of another, how much higher will it beawo ,,nxbi j). ti0vr- at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at vij6:ad2 *4n2bu o ael30 m/s. After hitting the road, it slides 45 meters to rest. How long does ito*v24d euj ni6bl2aa: take the box to come to rest?

  03.29: An object is thrown ou6cyri-,x+w6yk8qf upwards with a velocity of 30 m/s near the surface of the earth.y f+cx ,ioq w-8y6ku6r 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 ve en/4u ww-cbs1rtically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and venw-c1 4s/uwbe locity of each stone. Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects b(./ti(pb yfm are launched straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If objfyp tb. m(/bi(ect 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, the*h h+/siz-)vodpvp: o 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 seco:pd o-)s*zvoh iv/p+hnd, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launc*l m.1udqxe6x h, a projectile in free fall achieved its minimum speed during flight. Ifm1lq*x.e 6 uxd that 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 of thg y7f2afy-t 9ge 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 resgaft2- y 9yf7gistance.

  06.03: Three students were arguing about the height of a parking mqqr9eb40 aa 7garage. One student suggested that to determine the height of the garage, they simply had to drop tennis balls from the top and9a0 mr7b4eqqa 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 st n +eter4azn:.raight line. 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 posititzn4+e r.na:eon, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pullef. g8.v qg- uiiy(6ph qwym6et1hy34 qd 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 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 losse6 1.fu8 ( hy-v6giy.wth 3gqpiy qq4m of energy and that it takes negligible time.

  06.13: A rock is dropped from the top of a tall toweii9jn,1. *uu qktgs /fr. Half a second later another rock, twice as massisu/tfu. qn19ii *gjk ,ve as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s alon hmmenad))1k0;++c gcex zz 1fg a track. The cart comes to rest after traveling 1 m. The experimdnm0x1+z+h ); )kfgca ece1zment 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 initiallgh)44kt9s n8v nicpl*z45 isly 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 travel before cohni*lt4npl4v)sk8 c 5sizg 49 ming to rest?

  08.03: A dog starts from rest and runs z- q yq56+bzru 7,khocin a straight line with a constant acceleration o5,z7u q+- q ohczrbyk6f 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 initiallytobx wi- 8f7om g,/l /8rq,uwk at 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 t7,omkuw,/iw l /btgr- of88xqhe remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate todsa 3-(o:yyotn 9h 2otdv8d3 d the right. At time t=0,the objects are at the same initial position. Object 1 has initt3 doyy8s-tov:dn hd d(9o32 aial 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 horizontally with speed 10.0 m/s from a hei.fxaauu bbt, e 6u. iqrnn0-7.ght H above the ground. The object reacuxe7tb 0f6- b ar.i.nu.u qna,hes 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 un3)x od e0jifr;0 ssy+t jy9mb7lvr(m +til it returns to its initial launch point. W y ;m( s07sedrrjilobvx0+9 jy +tf3)mhich 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. Through k(+jvi4m 4 c6 nkf1abzhow many meters does the object fall during the first 3.00 seconds1 f4b6j(navkm4z+ki c of flight?

  15.02: A box uniformly slides 7.50 m to rest nw 4 yf8gw nay75i6na88pjq 3gacross a flat surface in a time of 12.0 s. What was the initial speed of the boxn ygj8in38f4a 5aq pgwn6y87w when it started its slide?

  14.07: Starting from rest, a cart uniformly a;zwl9fbjd 5su rsqz9+sq7b(q3dr8 o)ccelerates to a speed of 7.60 m/s in a tib(ojs8 q;uw f5dz z93q b+r79s)lrsdqme of 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initi y0e)yr40ckh(9qqi; lxvm 0fv8r2ec t 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 v)c0thfy8k4(0; v2qmrxvq0 lr 9e iceyelocity of the car during the five second motion?

  14.17: A toy car initially moves to the right at 60 uy3vki4 q)mp0.0 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 m34 yk iuq0v)prepresents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with constant acceler mmd/(bhd3zf j 4;zs8zation 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.i*bco mu0b0(9 .kqnl-mro fl* Which one of the following choices besl*cf0lm brm- nq(iok 0*b. u9ot 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 t.0;jn ,a+def ds1 kpv1gxzgw,wo stages, I and II. The average speed of the entire trip is 10.0 m/s.zdan +,ws1ej.g0; dxf,1kpv g 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 lstg l m;. s320vxi-+d2dxah skine 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.hi s-.gxkl03 m da2 +;dvtxs2s0 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 from res bd91gyyfz,9et. 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 28.0gbf,yy9z e19d 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 withx/8sai7cpzx7)b, las a robot. The robot accelerate,7xpac ib8)zas7 l /xss 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 vertical position of the balwzp8 e777bannl 0.70 s after renba87z7 nw7pelease 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 its flight?