94.01: Starting from rest, object 1 falls freelyw6 q)z8ukag0a.ot, *p gs x9xd for 4.0 seconds, and object 2 falls freely for 8.0 seconds.z0g*ptag.d, woqsxx)86a u 9k Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed of 20fdfz+ o, ul-p6 8f:8v/lqd uqh.0 m/s in a time of 15.0 s. How far does the car travel during thifd+-u8ffq:8, zh vpo lu /d6lqs time?

  94.03: A ball is thrown off a9x:2h kv3mreb d+hc69dw,hwr high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What ww hw32 9mchv db 6hrkd9:,xre+as the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is acceleratirgv x8z:ahbqx-vta5- y .,cc+ ng vertically upward at y:zv-c tbcgh.8vaax -qxr+, 5 $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling bo xxg:e +z4psq:dy is found to be moving downwards at 27 m/s at one instant. If it continues to fall, one second later thee xxqz +4::gps object would be moving with a downward velocity closest to:

  95.39: A car starts fromu8-tyor+ o d rmk:3 :vs4en0rb 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 wtlr*24.+zukt8x dnzg ith a speed of 30 m/s. Assume air resistance can be ignored. The height of the bui2luk+tzn.4z*dx 8rg tlding is approximately:

  97.09: At a certain time, an objeco*vat90 swrynzh 3 6u)t in free fall has velocity 4.0 m/s in the upward directi 36h*zu9) asrtnv0yo won. What is the approximate velocity of the object one second later?

  98.14: How long mustjz ;qwd. f1dinx2hy-*n:s p f/t/i9 rb 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 downward at 18 m/s. n ld,-;bzi;om0k8fi, nfc2snba62o w If it contin l;- mod2f06ac o kbwfz82,nbsiinn ,;ues to fall, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely fz8bj 3en)igu 0or 4.00 s until reaching the ground. What was the height abovi)bj0 8gzeu3 ne the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight 7r)jwc g 36kk g0dxuot( k9-jwupward 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 represengx9k j0jwt3)cdkgk u- w 67(orts 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 i3detw n k78py1s launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Apn183 dpet7yw kproximately how much time 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 two seconr5g3aten, t4jds after it begins to slide. Approximately how far does it trav43n tgj5,eatrel in three seconds?

  98.40: Coin I is thrownel 9tva(rjy,) , d;nsl upward from the top of a 100-m tower with a speed of 15 m/s. Coielvy9(j)tal sn, ;d,r n II is dropped (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 te3wu,1 s )ukyxhrown directly upwards with twice the initial speed of another, how much higher will iwyu1 ,s3ue x)kt be at its apex?

  02.30: A box falls to the ground from a devmb9lr,0f n+n*tp27ltsmsi + livery truck traveling at 30 m/s. After hitting the road, it sn*t+f 9m rt 2bil lps0,s+vmn7lides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards wit .4iryldwzzojpt: ;;2h a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocjd ;ozp2t4 y i;.z:wrlity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically upjpn; gy) v/drwijo4k3;fh0 ; jward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rank from high to low the maximum h4; j)ovik/;gjrfy h3np wjd; 0eight of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upward w7l1 uimvejcuno9qqi) c9.tp68z) 4zn ith identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 qz91ocz nue9 74i8mnlc .6u p ivt)j)qhas 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 eacueprb+09 q 0w99mktd gh bounce, the ball reachpq9ekb ugt0 r +0m99dwes 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 the second and third bounce?

  16.21: At 1.94 s after launch, a p;tca 3*,t ufearojectile in free fall achieved its minimum spe;fatc ua*3e,ted during flight. If 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 o6w: n ;ox6kfxjf the pebble with the ground below is seen 1.50 sw6n:6ox j ;xkfeconds 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 gcm j0xxfdj:5 :arage. 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, approximatecmjf :j0x5d:x ly how tall is the parking garage?

  05.07: A snail is movin dr)o f3de:5 vjm7alpth:m+ 3/jzp7e ig along a straight line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system,mzo)3mie3ed/ :p j7dh+75atfp:lvr j the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (u:s)hlpk,-so down the plane of the page) but is constrained to s)-k, olp:h suexactly 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 tall tower. Half afa +bbz+*0+ b9thestc second later another rate+b tz0b++*9bhfsc ock, twice as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along tg98 hr ff4d+,.ngzcva track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially mo.9vz8f cghf+4dtg nr,ving 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 along a track. The cart comwstw71 s up9u :o:m4nbes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially:p 1s su79u 4nwbmo:tw 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 gsebh*tmprm /4ud -knj7 ;0 7zwith a constant accele7mtge -dj70 s/ z4*pr;bun mhkration 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 m 4+c)g4akkklg2by/c resistance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time al4cmkk /k)g4yb+2g cis required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the r ms a3/ykhu07prh: gy9 l.eh.yight. 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 traveled ysha9 r0.u7hmklhy gy/p. e:3 by Object 1?

  12.26: An object is tg f fc28cbpy:/hrown horizontally with speed 10.0 m/s from a height H above the ground. The object reachepb c f/cyg2:f8s 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 u1+zt/px0r dgz pward. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent pz0 drx /t+1zgthe velocity of the object as a function of time during its flight?

  14.03: An object is dropped5)l6 7hbj19mft ek gw-3bxj o.ll f*pt into free fall. Through how many meters does the object fall during the gmfjk 59 )t o et3blb6p*w17jfl.h-x lfirst 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a time of )yg9kni84rt4* up *snyl u u(n12.0 s. What was the initial sp9*g)i8 p*4uu4tr yln nuns (kyeed of the box when it started its slide?

  14.07: Starting from rest, a cart uni9 qy2oqdcqfm10u d 4z3formly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the z2qq9 y4ofd03qmc1ud cart move in this time?

  14.16: A toy car initially moves to the right at 60.0uy6czz f5,o s9 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 tfo6,y9czuz s5 o 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 five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. Five seconds laterkuw3xy z fx/7x448 fpd, 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 acceleratf f4ukxzyp74x8xd3w /ion of the car during the five second motion?

  14.33: An object moves with constant accelera 7j(ya:/jfwxq,e 3gbphkre). 8w yf -ition 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 e k6e.tjr5cn:ejjs58free fall. Which one of the following choices best represents the direction of the object’e j5:nt85jjs. e cke6rs acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second tripmp)m 16;rnt y1bvz:6b nl .jen in two stages, I and II. The average speed of the entire triplv1b. :6 prn;n1m t6y)eznmb j 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 during the 8.0 seconds of stage II?

  15.32: An object mov;i xb..r,nq* rumm5s6t c5x yiing 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 .ti 5qu,*irrxn msy6 .5bm; xcto 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 clit, hydnm+ :,eaff, 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 rock was dropped. When the ball has fallen 28.0 m further than the initially dropped rock, what ihy:atd,emn+, s the speed of the ball relative to the rock?

  16.36: On a straight road, ) rqabg9742*b odulala self-driving car races with a robot. The robot acceler2)*7qab9raglu4b l do ates 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 upwdt,t gzw8+.0c xfq (jdard. The vertical 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 duringqdz j0t.+d ct8f,gxw( its flight?