94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and object 2 fb4rn d2jd-- ho*4afn :jk.uzfalls freely for 8.0 seconds. Compu .4norj fbf- 4*:dadhnj2k-zared to object 1, object 2 falls:

  94.02: A car starts from rest andge9y wrt4y 73x uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far w3xtg7 y 9e4yrdoes the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horir+p1lk;rob0;9 q spt,kc ls/l7 hz0nj zontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initialo r;/l0 k rpkqjct +;1 0lh7z,psls9bn velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically upward1(0/v lqel;ztfpe/f3 y s6lsm /1/q(s6 3efm sllyl;ptezf v0at $10\;m/s^2$. 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 moving downwards at 27 m/s at one 9vumlmk/z7x6 : +ou kl/rza vg(ed-j9 instant. If it continues to fall, one second later th(9/ ru+/ejzv9z 6axvuomk dlk-:l7g m e object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accelerates h+g(l dbkh6y-6 yk s7tat $0.80\;m/s^2$ 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 dropp5 w vmw:ea7m:s3dji; led from the top of a building strikes the ground with a speejwm :lm;:siav d w5e37d of 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain timembmc*fe /*gpkhfaa3 3na5ijp62 )q w5, an object in free fall has velocity 4.0 m/s in the upward directf5i5a)h n * q2pmpcmgf/ae6 bja3k *w3ion. What is the approximate velocity of the object one second later?

  98.14: How long must a j uhsj-oi2, qx/s5t/ t$2.5\;m/s^2$ 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.smlts f9e e/le*)wkv(( e8 w0c If it continues t(l0l/fsme *sv eew c) 9ekt(8wo fall, two seconds later the object would be moving with a speed of

  17.02: A small object is releasy.ok dz15kj y- ll:j/dsw-q/ced from rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the object was released zk-kyd.yq1c o5 j/ wlj/s:-ld?

  11.06: A ball of mass =0.100 kg is launched straight upward so that yv6ta actla7z); 2wjsj-l8 6ho z6gg/it rises to a maximum height of 12.0 m above t g/l)socag ;htjzj6a yzat66l-72 w8vhe 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 force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.1r02d,kph 1 ue-*tq/g vjw;pmjf e+3us00 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 d p012qfjht,*gj epmru-vk u +es3/d;woes it take the ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclin7 2fqhvwsfo*8 0p /maved plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in three seconds?/ sf q*wpa2m8hv0ov7f

  98.40: Coin I is thrown upward 44yym ,sxhn2 dfrom 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 4,d 4yns x2myhtower 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 og(.j y) s;kplv8fa qzns4+7xof another, how much higher will it be at i4 s ;lag)snpxkfo+q8 y7.v(z jts apex?

  02.30: A box falls to the ground:5leh4u 9swcufn5m8 g from a delivery truck traveling at 30 m/s. After hit fus5m4wunhe 9:lg 8c5ting 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 of 30 m/s n.2zk( . mfqapkear the surface of the earth. After two seconds what would be the direction of the displacement, vq k..map2k(fz elocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1dd(qpx g uyh)nlteqs2::. b89 m, 2m& 3m) are thrown vertically upward with dif .nx9:d 2dp8qsug( :lhytbeq) ferent velocities (1v, 2v& 3v respectively). 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 wil 2)9h*pcm/ng;1(r )a8wt qk3d ocdgnwyn*u wth identical linear momentum. Object 1 has mass M and reaches a maximum hei( lh/3wc29wpd;nn m 1ar c k)gyw)t*dq o8u*ngght 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 gtcml ;/u.miy8round as shown. After each bounce, the ball reaches one-half the height of the bounce before it. If. 8uycimml /t; 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 laun7; l(khic0q(;0fd1g ri 9 rf:zcr iix t2noj+zch, a projectile in free fall achieved its minimum speed durinior 7:+0lhciiz; 1njtd; ( q0frgk r9xi2(zfcg 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 colliqtdsd d0wi *bjwfl(e-67z89 tsion of the 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 d-qe zs6t0dd( 9jibl7t fww8* air resistance.

  06.03: Three students were arguing about the height r0k86 rip,u ijof a parking garage. One student suggested that to determine the height of the garage, they simply had tok6p08,r ruiji 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, approximately how tall is the parking garage?

  05.07: A snail is mov +(kf6nt 0nsjwzx/oh +ing 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,ztwnk 6 +0snx /+(ofjh 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 the platx r,uu:4 l/a,s /r)vtz/c :j6kdyqoe ne of the page) but is constrained to exactly follow each of the frictyxc ke : z,/ )/t:vuuo/ a,qj4rl6dsrtionless 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 a second lat5wy(. q u6u+ux/ qns5/f3pzjh sds (pzer anothp f3 njdp6ss(zqu.z5/h wuy(/sx +qu5er rock, twice as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is init ucr)n lz; ofwt/tt,/w*yyo/ cr5k+w)ially moving at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on th+n,t/;ruc/wcr)* lzfkoyo/wt5wy t )e 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 initially moving at 0.5hed/10gl .vgl 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. Howe/ d1 0g.gllhv far does the cart travel before coming to rest?

  08.03: A dog starts from rest and runsa 4mve*v, tcb6 in a straight line with a constant accelerationeab,4 mc*vt6 v 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 (6;y;y jtww1 f)pb xfgabove the ground. ; 6xbyp)(w;tyfjf1 g wIf 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 accelerate to the rig5/vmo t p6pln.ht. 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 t6 .o5p/pntlv mhe distance traveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is thrown horizontally with bvz/fd 9wz kcyzc ux+8/95 0rjm d;/scspeed 10.0 m/s from a height H above the ground. The object reaches the grd / ym rsku90fcxb cvdj/; 8zcw+95z/zound 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 throqeltqv c.n k-cfc+(;- 0/kakawn straight upward. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs could reprek.kckl-nt q/ ;-avq ec+(0 afcsent the velocity of the object as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how many bh05j brfb yvhw2n0 9-meters does the object faf 0b0bhv 5-yw 92nhjrbll during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a fla3t-zs-lbwc. h b ie3 .oefx*,gt surface in a time of 12.0 s. What was the init.3b 3sbi zlhg-,wt- xc.*foeeial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly acceleratjqr- c2k2wvw9) h036hocmdxbes to a speed of 7.60 m/s in a time of 3.00 s. Through what distancejdqvkxrbm609- 2 w c)h o32wch does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five seconds l-ca+ul8yteoc i: (/99lbk mw mater, 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 followint-cc8l(e l+ba9m9/ ym ouwik :g 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 x-2;spb4 ea;*fsgr fwrwv q1(at 60.0 cm/s. Five seconds later, the car is moving 4 swwf;* 21rg-(p rea;xsfqbv 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 acceleration of the car during the five second motion?

  14.33: An object moves with constant accelerasinu(7jjm5u jf6 ;9f9*zqycux f b* hcz:3y)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 free fall. Which on /c/psqkk6e 6be of the following choices best q/s6k/bce 6kp represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right compef8i-f+lj l+xletes 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 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 +8f+le-xji fl II?

  15.32: An object moving along a line completes a 20.0 second trip withozz53 e d+epv 72j5jjs 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. Whaz5s j ez+357vjjpo2det 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, b p6qng2i0 ;fpnec157gr 8mc ya small rock is dropped from rest. A ball is launched straight downward with an initial speed of 3r6cy17 c80m 5ppn bf qeggin;26 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 the rock?

  16.36: On a straight road, a self-driving car races with a robot. The robot accup1 dl)1 8jiesmu:xw1elerates a1d j1 :m8ulsi ue)wpx1t $8.50\;m/s^2$ 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 ba8 ;uaiqceu)5dumo ;h4ll 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 u)u5;aioemhu8 qcd; 4vertical position that is one-half of the maximum height it obtains during its flight?