94.01: Starting from rest, object 1 fal0h*+u9i cnjj / kje: lkuhy0b:ls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, objec+0 j/9:hnkkh l:yuiejuj c*0 bt 2 falls:

  94.02: A car starts from rest and uniformly 2 qm0zfns,t9 aaccelerates to a final speed of 20.0 m/sm9,qsf at 2n0z in 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 hor kzx nds(4kfdf)a(r)(gyd31ar 6ef 2 rizontal velocity. It lands 6.0 s later with a1 r3 gfedd(r)f f k)d(n6z(a kys4r2xa velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerw.n/9 /wpm5 twrpo d0yating vertically upward at9w/yw5/ppw0dtmn ro. $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is found t y g bk4ct*r73 z/+g)igxqsg(zo be moving downwards at 27 m/s at one instti s)7kxy(qbgrzz* /+4c g3 ggant. If it continues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and tc t+pg,4k5 gbaccelerates 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 dropk-c20vme i,c67j2kmhxsfx. b ped from the top of a building strikes the ground with a speed of 30 m/s. Assu7 mv k.kfc,s2b2icj- e0mx hx6me air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, a 6knt oi+tq99+j/dmtk n object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of 9nqk/ 9+t6dtm+ ki ojtthe object one second later?

  98.14: How long must a f uuz,kds)38w $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is o1cw: scyvt1)ge ;o72hp ,n5j/hcqdk found to be moving downward at 18 m/s. If it contino;cktw chcp: nyq2/,1eo7g5 hsd)v 1jues to fall, two seconds later the object would be moving with a speed of

  17.02: A small object is ripx.*- mve7 rma.kft0eleased from rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the object wasm* tf.er .k-mx7a 0vip released?

  11.06: A ball of mass =0.100 kg is launched stra3pa )vzraf;u 3ight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. When thzupvfa) 3 3a;re 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 =0.100 kg x7 u, ++jbzl5bz5sy xzis 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 it take the ball to ry5+ zxjzb+,75bl uszxeach the maximum height from its launch?

  98.31: An object sliding down an inclined plane has speed 0.40 m/s twkgs fk2:f3o(m5hsq 4o0cbt *c o seconds after it begins to slide. Approximately how smfo ohcs32k:q k*5 f0(gt bc4far does it travel in three seconds?

  98.40: Coin I is thrown upwab2i/zkt /9zq kx8d7rt rd from 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 tower 2.0 s later. Assume gtx 8k9bk/2q / iz7dtrz 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 if;.yt /)mlbj9 d trar0nitial speed of another, how much higher wid;j yb.) ml0r/rfa9 ttll it be at its apex?

  02.30: A box falls to the ground from a delivery x3u .w,p9e.yah4eua ktruck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come tok h.a 4u.3,y9xapeewu rest?

  03.29: An object is thro0san9bs.2 h78fa zdvs fp p6d7wn upwards with a velocity of 30 m/s near the surface of the eartzb0spn9p7.8 hsvaffa7 d2 s6 dh. After 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 ex )3hofl;pk (fba8zn7c 1)lszr0 ,auvertically upward with different velocitih f70 e,a8rbp(x3)f z1na;uz csolk)les (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 wdrq)ll3q zcv n3+a-4 gith identical linear momentum.4 q)gr+qnd-c3llza v3 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 launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. After each bepx 2++ t,tmmps; 8tzgounce, 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 +p8+2ttmsx;ge,p t zmbetween the second and third bounce?

  16.21: At 1.94 s after 54 rs 5jud(1.uega9ov4mfzm hlaunch, a projectile in free fall achieved its minimum speed during flight. aj14d5uh ovsm (rmf59zu4 . geIf 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. 0w-5-wrgd sx4x -zu/r3rveqnb/jx6mn:v n5 l The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With whatsxzq5nj x-wx5/3/bnw6 v-e d4rvg0 m:nrul-r speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage. Oneq1bl;) hnmj. /8wemd n student suggested that to determine the height of the garage, they simply had to drop tennis balls from the toj hbe/ )l. mwqnnm1;d8p 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 straight line. Its initial posi9oqpg4b4 csyz -nrd -cgi 3+1ztion is x0 = -5 meters and it is moving away from the origin and slowing down. In this coor-93+z-bc s1qzgyr44iocdpg ndinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwardsd9 56cdx5ad1af yxci6 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 amoun951 5x6dcf6daci yda xt 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 later t. )ir,orl.ueanother rock, twice as massive as the first, is d re.o,)rtu .liropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The rgm;6 cdz +eg )w)fgn)cart comes to rest after twmc6drgzn)g)f+; g) eraveling 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 rest?

  07.11: A cart is initially moving at 0.1i5o 8(zqmqc)p3bwb vy,*g jk 5 m/s along a track. The cart comes to rest afpmq)c 5,b8bi3z1( vqjy gwko* ter 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 rest?

  08.03: A dog starts from rest an0d7 jr/ c3yj0o-k3li3bfkmd md runs in a straight line with a constant acceleratio0kbd3 0ciflmd73/r- 3ojjk m yn 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 ba bf*)w62xx t* pmtw7air resistance from a height h above the ground. If thetxp a6)xfwb2t *wb*m7 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 uniformlye h: )t*60lq-hihxiyo accelerate 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 Ty6x qoh)iit 0-he :lh*, 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 9ypaauelool n46 x:30/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 flight to the ground? Ignore ai3xp6 olay9o:0aen 4u lr resistance.

  13.10: An object is thrown straight upward. The object remains in free fall un+yr*oy: tfzqf /k9g5s til it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object as a fun*kyq 9gf /fozt+sry5:ction of time during its flight?

  14.03: An object is dropped i)zczb 9muikrhn.g b0+dz+8* v nto free fall. Through how many meters does the object fall during thz mkz u0+ ci h+n8*d9g).rzbbve first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.5,pcp2.ijdmy(0 x c jp/ch2nakiq4y5-0 m to rest across a flat surface in a time of 1kycc5pa 0i/phij ,mjy n( q4d.p2x- 2c2.0 s. What was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart unifegcm k 4;qzz u5cvlp5k+m8 r 6j81s5krormly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move e64 rm;g5u8vs 5rckzc 1q8jkm pzk+5l in this time?

  14.16: A toy car initially moves to the righyv. t o4z.vm8bt at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The total displacement o.vb 8.zoy v4mtf 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 mo3dj0o-o uj(zph:l-lw) zfap -ves 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 following choices best represents the magnitude of the average accel op:du--l o(jzjp-h3w0 f za)leration of the car during the five second motion?

  14.33: An object moves with constant accelerationb zp2+c8vd-pbfon 7 2u 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 onq es3d9sdlrk0cik 7( 0e of the following choices best represents the direction of the object’s acceleration dud0k9 sq3(il kd sec0r7ring its flight?

  13.26: An object moving only to the right completes a 20.0 7i)6iv*y bcqasecond trip in two stages, I and II. The averagc7iqy)bi6va* e 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 II?

  15.32: An object moving along a line completes a 20.0 secehlwy+v c;/;;j4xfj/ l 2injqond 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 wj;/+hvn42j jl; x;ifcle/yq 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 dropped from rest. Avj0( 9,gfvoko 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 v9,of0(vok gjfallen 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 a,3wqa,a 9l/ue q./qp hdnhm*hccelerq l3/e w,h, *qph/nd q9.hmauaates 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 vertwc /myq7 v,yg(ical position of the ball 0.70 s after release is the same as its vertical position 4.10 s after its release. Atwy (yv cg7,m/q what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?