94.01: Starting from rest, object 1 falls freez7hc0wi)7 i(aifw qf /ly for 4.0 seconds, and object 2 falls freeli 70 ff7qi(a cwzhi)w/y for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final s3ti7pn 8j)t xarblhuwb3y; j u 5.)mv,peed of 20.0 m/s in a time of 15.0 s. How far does the car trvx ;m 7u)5ln t)b,j83w uryi tb3phja.avel during this time?

  94.03: A ball is thrown off a high cliff withsogjxe g0 tk1;(np- o7rw3vxy2u x(8 s no horizontal velocity. It lands 6.0 s later with a 10 (2uon3g;kvx gsx(rs 7j xp yweo8t-velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is ac icg)nt0b9h+a5grn3vv-da/ ,k m qky(celerating vertically upward atirvthaac3g )-kqby d9 g5v+ (m,n k0/n $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling bodyfk wz9 7,rf pl9kwd(5asv9q :h is found to be moving downwards at 27 m/s at one instant. If it continues to fall, onwdva5l: f(rw9 9k 7s qzphk,9fe second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and acyeo f 0rsqh0/0celerates 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 y9 e*qf8r+obt *be6aqvc5f k/ strikes the ground with a speed of 30 m/s. Assume air resistance can be ignor5bf*a8+ 6yef*vqt kerbo / 9qced. The height of the building is approximately:

  97.09: At a certain time, an i h9b f9udmr/6object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one second lhi9r/u6b mf 9dater?

  98.14: How long must k7;8 eb3q ytyd2xy1fx 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 fallinwd6m:0)q ss ;har ;lamg object is found to be moving downward at 18 m/s. If it continues to fall, two seconds later the objmawa :6; 0d)hm ;lsqrsect would be moving with a speed of

  17.02: A small object is released from rest 1, olxh,bu f;ywgod qmi1i-/3and falls freely for 4.00 s until reaching the ground. What was tobxugm-/dq ,f;h1iy 1iw3,o lhe height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is la k i;7vvpqc -6x*d5(wvn tsc+iunched 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 represents the magnitude of t-qi xv k pw+cd;6i(7v5s *cnvthe 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 straight upward so thatgxxbxv /a513u it rises to a maximum height of 12.0 m a/g1u 5vbx3x xabove the launch point. Ignore air resistance. Approximately 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 a(mp ows* 3 )1v/mhkajseconds after it begins to slide. Approximj hvos(1*/ aw3k pam)mately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100 s y3h (7,;jcc,8pgbjt lohuo--m tower with a speed of 15 m/s. Coin II is droppedh(otpo b 7,3g8h,uysccj ;l-j (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 directly upwards with twice the initial speed qsyul e 8hz: ha.13+8qy5 ixnqof another, hownshay q3+yu: 1 zq.8xqe8hil5 much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at ml2w7rvjymj8-xiq k v 7(d).c30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the bov-m .jq7lijy 72dwv)(k cm8xrx to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s near the su6+(h tybf+deaov. i:trface of the earth. After two seconds what would be the direction of (byv6.t te+ aid:hfo+the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of differcgn)asg,nz*(b i0 wf/ent mass (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The df/ s) a*zw(,nbncg0ig iagram indicates the 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 launched straight upward with identib ,1fdvqyte4s 8 tcs(0cal linear momentum. Object 1 1ss80fvtbt (d 4eqc y,has mass M and reaches 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 oucxbi5u p.wkm*62me.lx*)7f i voz)fc 5 fyl4n the ground 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 be k5mlif)vzp 7uxmx* i)4o 2fe*6wy .lf5bu .cctween 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 projectile in free fall achieved its minimug/nfs0 (tnje *m speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of latnne jfgs(0 */unch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of t63mydxma f(te t4zc) 3he pebble with thef6c e4dax3) tm(m ty3z ground below is seen 1.50 seconds 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 hek4.fzdqul 1.p ight 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 .f.zpu1ld4 kqthe 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 -flfqz49 h0cv6ubxt)position is x0 = -5 meters and it is moving away from the origin and slowing down. In this lvx 49f0u ht)b6zc-qfcoordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled down- 6sir3 kr eiz 9t(fsss(1u)xhwards 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 directirtiss ex 3fszr1s)-hkui(6( 9on that there is no loss of energy and that it takes negligible time.

  06.13: A rock is dropped from thc; aze/ omo 6/i(gksz9 1hl5kte top of a tall tower. Half a second later another rock, twice as massive as the first, is droppedk;o6(to//z mlc h1azegk59is . Ignoring air resistance,

  06.18: A cart is initially movi*6of rjicalyo y+*5p*ng 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 befo l* ajifyc**6+p5yorore coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. The cart comekg aa.p*c /9zes 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 resac. /z*gpe 9kat?

  08.03: A dog starts from rest and runs ib j9 dbmhq ,xoa(o/u*;n a straight line with a constant acceleration ,9joo/b*;u hxaqd(b m 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 resij8f g dvm;q0 1xoaqqy*ci2 9n.stance from a height h above the gr0qgcq ;2dj1f8n o*vaim x9yq.ound. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly acceler umv,1qx*jgp1 ate 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 distaj ,1mg*1x uvpqnce traveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is thrown horizontally with spell5vzfg4 0 p5zed 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 object’s flig50lv gz z5lpf4ht to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The objecfq.j81a l eulv1);ohde 4vo1 mt remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object j.aq l1od)elmh1e v;8v4ufo 1as a function of time during its flight?

  14.03: An object is dropped int.mfn /q/7jclv g;(m wto free fall. Through how many meters does the object fall during the firw 7 g(m. mjlqntcv//f;st 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest acrtflwn 4iul -0-oss a flat surface in a time of 12.0 s. What was the initial speed of the box when it started itswni- fl-l0u 4t slide?

  14.07: Starting from rest, a cartwbt4)gldh-7t uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move in this ttwg dl)b7- th4ime?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five0f ;q4vxnqp/t 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 f4v0nq qtx;/pduring the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. Five seconds **t*o)fywrs9vfe2h w later, the car is moving at 40.0 cm/s to the left. The total displacement of*yv* fw e29wo )sth*rf 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 moves0 ze6kw7 :99;j r ldmhkok)dbe 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 moving upward while in free fall. Which odjwr 47 x 0-b5wybg.ccdbg 94cne of the following choices best represents the direction of the objec-b by 0b74 c4jgdw5 ccr9x.gdwt’s acceleration during its flight?

  13.26: An object moving only to the right completes x nij/b a y0n-:mfk5l*a 20.0 second trip in two stages, I and II. The average speed of the entire i /l xjbf:*n5nma-y 0ktrip 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 moving along a liywz4 6b)l9)js9zs.tinc z 2 hone completes a 20.0 second trip with an average speed of 10.0 m/s in two stages. During stage 1, the object mob9c)o6it zjsh.nslyw) 9 z24zves 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 cliff, a small rock is dropx )m3xac:we xq d8w5x*ped 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 droppee dwq 3xxc 8a5m:xw)x*d. 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 witg;psky9 j +8 *df.iuyvh a robot. The robot acce9 vi.*ypfku d;jy+sg8lerates 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 pos. uidf ub 6y/1+-motbzla;h e)ition 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 obtaydi)blam u -tz+/bouf;61h.e ins during its flight?