94.01: Starting from rest, object 1 falls freely for 4.) s hxcvhh qxa23 kj)p56:4npa0 seconds, and object 2 falls freely for 8.0 secona xjc4h)2h6sq5ha :3xkpv p )nds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and unimhp2x:b a7i 5dformly accelerates to a final speed of 20.0 m/s ph:2b7xid am 5in a time of 15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizont5 mnq+ l7/xq7. otbq+rohx8ryal velocity. It lands 6.0 s later with a ver+qloyt+o.qx77n mx/ r5qh8blocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the ea1 8cg tqj2e7gbrth is accelerating vertically upward a7 g e821jctgqbt $10\;m/s^2$. 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/situ qu3o/: a,w at one instant. If it continues to fall, one second later the object would be moving with a downward velocity closes tauw/,uo :qi3t to:

  95.39: A car starts from rest and acce.*efd ,melum zf)zhe)+,0r3 etjp 2qhlerates 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 grounw9(0dodq1-a 1cxki jtxuu ;5fd with a speedd0ukf5c tix q1 a x(w-dujo19; 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 +a q hzzi9i9 ru*aq8sa 60q;v:tjw04 voeyew: in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object6w:quaioeeh :0y*z9iqvs;409wq 8 +zrva j a t one second later?

  98.14: How long must a+1y5s w srzj4iio2 (sutzf5w. $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling obnzd1w.c2a*vl a3ep2)kikvx 1 ject is found to be moving downward at 18 m/s. If it continues to fan31.v c2aild) kz21xk*av p ewll, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest ankj hbgl nnf-.8o*3o d1d falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the object was rjo. l3ng8hfk o1n *b-deleased?

  11.06: A ball of mass =0. n2*m9fo tdxajz;3f z5100 kg is launched 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 the net force acting on th5mx 2af*znjt d39fzo ;e ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass 3tmwu 3 x8)pa5 +znq/ ks:rsqw=0.100 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 ir3wn stqa 8:mz3quk5s px) +/wt 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 t3htn2b/68n0obaccbz, axah;pa 8 ix r99s6 jseconds after it be h2n st/t9n,zbahpx 3;j6 xracb80ab 89aoic6gins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a3/pj gjgwl:)md1k a/l 100-m tower with a speed of 15 m/s. Coin II is dropped (zero inipggm1jlwka j//) l3d: 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 wi;10qgbouem2sopn v0u m 9p6w; th twice the initial speed of another,9eo m ms1 vp;0;0ngbo6uquwp2 how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/s. Afte3 3k,(kefx*zq wcy1ri3.- t+ircub cz r hitting the road, it slides 45 meters to rest. How loc-cb.wk zci*,i 1 utqx(3rk y3+ fe3rzng does it take the box to come to rest?

  03.29: An object is thrown . gtg3a8ih9yh 9g 2ivr.unw(f upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velov(i.hut gg ny29 wr3 hf.9i8gacity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically upw ory6n i r7l fb zsh-g:g3t8dvt5ow6+,ard with different velr 5t6 wl8 g ythvo,n+rs: -bgi73foz6docities (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 launchel5iq oey.tngr+f6rz.z )je9.d straight upward with 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 above the y)6l e..rrn+5i q.gfjz9 eot zlaunch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. After each bounce, :ysw:+ dzuox0z3ojh.* vhat*xa 2t 5vthe ball reaches one-half t u5*a*2 0haozx+o:xsy vtt3w :hzjd.vhe 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 after2j(h: 7epqyycvbx9 e1 launch, a projectile in free fall achieved its minimum speed during flight. If 9x(jec 7ey1b:yp2 hq vthat 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 ch ,ks:dvu 61yy e1-hjfrom a high vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did thyc61hhj,v:-y1k usde e pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garg+)sj/ vww-zh.z ov3 lw5 ;urlage. One student suggestedr.3vw5uwol +;zg l- hw/)vs zj 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, approximately how tall is the parking garage?

  05.07: A snail is moving along a straightxnn2o /-g rm/+5wr xglobr 9j7 line. Its initial position is x0 = -5 meters aj n-rgl +2gw/x79 r/m o5bxonrnd it is moving away from the origin and 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 bymd2c7*nfw cw) 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 amoun mn)w*dfcw c27t 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. h-s dd- c(xtagnxg:ee:4 v5 -sHalf a second later another rock, twice as massive as the first, is dropped. Ignoring air x-c:-4-gdngxa( hse5std e v: resistance,

  06.18: A cart is initially moving at 0.5 m/s almdy2xblk.v6.o-w 3:7ml r- culs l8e kong 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/scexl-. kwrk2.o ly 38dm ulvm:b67s-l. How far does the cart travel before coming to rest?

  07.11: A cart is initiallyxb ;::8s ljdcq8mz -zc 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 c-:8jb;cmdx 8z lqzs:is initially moving at 1 m/s. How far does the cart travel before coming to rest?

  08.03: A dog starts from rest an t-u9wm.fyk b h,sn3i7d runs in a straight line with a constant accelerati9fy m u khni.3-s7tb,won 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 ai3kiktylw4 e.l* gug9 n 5/3ilbove the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the remaik3t lg9nl5e/ wi3k il4*iyu .gning distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At time t= j ,0cvvtff8 0(ure;cb0,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 Oju80e cbr0, tcv; (vffbject 2 to that traveled by Object 1?

  12.26: An object is thrown horizontally with speed 10.0 m/s frv0*kc 98w ekjvom a height H above theecvv 9k0 jkw*8 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 flight to the ground? Ignore air resistance.

  13.10: An object is thro0 qgpnp*x rmuo +6oafjs:0g28wn straight upward. The object remains in free fall until it returns to its initi0xm2*8 op+sg 0a6rfq: g nupojal 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 into free fall. Through how many meters d l u.a0ody wj7y9tr(9loes the object fall duringyo90( uw.ja7lltr9y d the first 3.00 seconds of flight?

  15.02: A box uniformf 819nc1z*+tc.9 udvueuwy yaly slides 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 its1 u9 n9ccte8 udyw+*1 fyz.auv slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 *d0xw+c)yi ,bamx . yegsh :r3m/s in a time of 3.00 s. Through what distance does the e:mai 0+y*w3gx rs.cb dy x)h,cart move in this time?

  14.16: A toy car initially moves to the right atfs8 8p u;s8exq 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 ss8u8qfx; 8e pthe average velocity of the car during the five second motion?

  14.17: A toy car initiak-fx b78 z(3x xn8)ec(1hymi45urbdzn h;rw clly 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 following8z4m7rdinb nwc(fck(r 53xyehux z;b8)-1x h 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 startidbyt7-7 wwzk ,ng 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 .s d+brilw9a;cwm: 7c is moving upward while in free fall. Which one of the following choices best represents the direction of the object’s acw7 ;ciladbcs9w +.:mrceleration during its flight?

  13.26: An object moving only to the right comid.c,/meap nu qw 1y0b2 up7w7p5wja4pletes 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 qdw.jiu,b wu2c4p7e 1n aymw5p 7p0a /during the 8.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 second trip with an:n,nsd d/6lbq12qqv n 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 acceleration directed to the left must the object have during the 8.0 seconds o :vd/1bqq2 q6nndsnl ,f stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from res5b-0ey;8w( vixoncm ht. A ball is launched straight downward with an iim 0- (c;whbyxevn5o8nitial 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 is the speed of the ball relative to the rock?

  16.36: On a straight trx4fyg ;5ar/ road, a self-driving car races with a robot. The robot accelerg5rft;x /ay 4rates 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 verticallys2moxw3b-+k pwa(krx c s;3a - upward. The vertical position of the ball 0.70 s after release is the same rs3+2- xbs 3x -kwo(m;kaacpwas 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?