94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and object pv332*m xaeckxbd /nsaq +xq1 ) :3nnw2 falls freely for 8.k:xnp v b c*2nea q+1x)n3xw3ma qds3/0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final sp(j gbh8ns 34lu3 0ahneeed of 20.0 m/s in a time of 15.0 s. How far h nsbguj(eh0 an438l3 does the car travel during this time?

  94.03: A ball is thrown off a high cliff cbzo925guu s3 with no horizontal velocity. It lands 6.0 s later with a veloci9 5uog3u2bsczty of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the ea+ah 6ber,.qhm0p : etnrth is accelerating vertically upward at6rmnbh ap.h0e,q t+:e $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling boe4o5 -qi3srk qdy is found to be moving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward velocity cl 4-skqoeqi 5r3osest to:

  95.39: A car starts from rest and accelerates at su+ucoq; 7ac7$0.80\;m/s^2$ 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 ismj3h6b66nrjw4 1an c)b ocuc: yyb :/y dropped from the top of a building strikes the ground with a speedyc4ub6bm/c1 )36w y n:6ah:r oj byncj 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 free fall has velocity 4.0 m/s ir+, mpblwoa nvtg- 5sp*;8bu5n the upward direction. What is the pr so wbvg*a5bnpmt, u+-;8l5approximate velocity of the object one second later?

  98.14: How long must ag0ry6ecatpp74; 1pw. kkofof)m8s xl x1x)8z $2.5\;m/s^2$ 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 downward9hekdovvyj21u8 e0g +wf nn8 ( im10lb at 18 m/s. If it continues to fall, two seconds later the object would be moving with a speed n8on e(0fg9dmv 2jb0huvw +1l y81eikof

  17.02: A small object is released from rfg: ;gig;dap bj*1f. mest and falls freely for 4.00 s until reaching the ground. What wa ;.:;bgaj*fif gp1 dgms the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so that it risesvp5eki0- 2uw b 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 the net f2-pi b50v kewuorce acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.100 kg is launched straight upw; )rgoju*sy o1ix0lh)ard so that it rises to a maximum height of 12.0 m above the launch point. Ignore air re1h yr;)jlo0gs*iu x)o sistance. Approximately how much time does it take the ball to reach the maximum height from its launch?

  98.31: An object sliding down./bls5 ynlzngyybt8 x9 t)f ;0 an inclined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately hobn.s ly gz9l)f yt5;0xn bty/8w far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a j9q,d(tr fq3ie0ab. t 4z jes8100-m tower with a speed of 15 m/s. Coin II is dropped (zero ini3t d.zfsrqe(,qje9tj4 i80 ab tial 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 4+*+p- idkwknkw p: sz pfh(0q1 vnjc0twice the initial speed of another, how much higher ndq00pp4i:ksf (wzhwp -+ vkn+k* jc1will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/s8gy xv tm7y66p. After hitting the road, it slides 45 meters to rest. How long does it take the8xmyty6vp g 76 box to come to rest?

  03.29: An object is thrown upwards with2a9yq2j a7yt 3g( kkaa a velocity of 30 m/s near the surface of the earth. Aft(yty 2a qgakaj 7293aker 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 verticallye/4jib: q3 7kon6ovjk upward with different velocities (1v, 2v& 3v respectivel47e q6k o:vk io3nj/bjy). The diagram 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 jizk8x rqt .n2l c2g5,identical linear momentum. Object 1 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 abo5j i ntk2l 2,gz8rcx.qve the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. After each bou0pm)u0 iu:n(dpnek a4nce, 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 the second and third 0u0k:n4ep )pnai( mdubounce?

  16.21: At 1.94 s after la*3 feb*h hcpe7unch, a projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the horizontal73hpb *hc ef*e?

  05.02: A pebble is dr um:xz)msbha1) c w2v)cq9b0ropped from a high vertical cliff. The collision of the pebble with the ground below iscwbh2xbm vz r))9 qsm1)u0:a c 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 hee i5, yw7xl;7xzfory/,o rny1 :zg+oaight 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 t :r,ol 7gxw/zz1f; aioey57 +,roxyynime 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 c3wvs6g2g;7kinap11e .h ei dposition is x0 = -5 meters and it is moving away from the origin h2c61pgvw.;gk e ds7iiean1 3and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down th lvf8xx)k0 3t3zehed 8e plane of the page) but is constrained to exactlyk0e8 3h8dzlxv)fe3t x 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 drop u4f+y3 :qcncu )x:xmfped from the top of a tall tower. Half a second later another rock, twice as massive as the first, is droppe4x fy)3: xuncu f:cmq+d. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The c3k ky0vfo0wophw n(v7 )w;0z.mcdr*r art 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 drzv m)wk vw;hfd p .o3( kn00rcw0*y7ooes the cart travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s-6 ngimy;blz3 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 be-ig ylm63;znbfore coming to rest?

  08.03: A dog starts from rest and runs in a straight line with a const wkz7ip0t:6ab ant acceleratiobpzwi:7 ak0 t6n 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 a height h-a+h du/c(x irs wdt7pp)w9r1 above the grou1hsuci xp(dw r)9at 7dp/ +-rwnd. 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 accel d1o) +mk3jerlerate 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 mk je dor1+)l3time 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 fy.q 7z 3w+a1)ntntea o55pq vh+g d)fzrom 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 bestzpdoe)5 tv qnh+fn7.w1a+g5yqtz) a3 represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upwardztr ..ax.hkn66f8rq i. The object remains in free fall until it returns to. .ahr6x6zk8.iqtn fr its initial launch point. Which 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 i/f fn,1orc.rk ti2si67 n4eqx nto free fall. Through how many meters does the object fall during the first 3.n4o sf.7enrq k2,i1/ rxti6cf00 seconds of flight?

  15.02: A box uniformly slidesh*0 wpy occbe2 hop.7ro i4*k.,: orur 7.50 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of the box when it started its slid7.rhcu,kb: 2 h*p.4y*ow reooc roip0e?

  14.07: Starting from rer n7h+8ggrk).k g f5,rq rsl+wst, a cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart hfl) n7+ grwgs .kk8+,5rgr rqmove in this time?

  14.16: A toy car initially moves to the rugf:hgh fie6 ,7j iy+a,-3yhhight at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the ljfggu7h ,h,y-+fie:hia h3 6y eft. 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 five second motion?

  14.17: A toy car initially moves to the right at *(abn;di )bk ck q v**mx ;vyue,*aq5n60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The total displacement of the car d kbbu *qkxncdy5,;v ae iqm*(;v*a )n*uring 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 acceleration s.pvl3du )ap e 1loj4q5tarting 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 falby e ry;vh:+bx+c6vn1 l. Which one of the following choices best represents the direction of the ob:ybn evc1bh y+6+;vxr ject’s acceleration during its flight?

  13.26: An object moving only to the right compleitv2z cb*l /7bqctnzbx2h+ c):cr 5 y;tes 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 th ztr7c)cxcqb2nl v:zi+ c*b2b/5y ;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 line completes a 20.0 second tripzp10* a pi/:oxa* jy9baij)v;pww2k d 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 apaib w 9 ji/2pzya;px*o:kv0j )*d1 wacceleration 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:6l0i/h nzuxh evk161,gxx bw 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, whatnhg6vz i :6x1w0h 1/,ubkx xel is the speed of the ball relative to the rock?

  16.36: On a straight road, a self-driving car races with,/7g jt )iuk2f 4jdfsi a robot. The robot accelerates at gu)2 sj, 7 ikf/dijf4t$8.50\;m/s^2$ 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 j8zlc83ez k q4vmt4e 8v(fgt9vertical 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 maxctvmze8zl8(9tq4 j4egvk 3f8 imum height it obtains during its flight?