94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and objectl8i6vk)8vy jjc 8wva;vdj x:1 2 falls freely for 8.0 seconds. Compared to object 1, objejdvk;jl) v8:1x 6cay8 ivj8vwct 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed of 2. 0mxj 2kzgo jv y(1w0gtfo/u40.0 m/s in a time of 15.0 s. How far does the car travel during014g oxyjz.0t/fj2uv k( ogwm this time?

  94.03: A ball is thrown off a high cliff with no horizontal v1 kiyk)mm pqy;*5k+ awelocity. It lands 6.0 s later with a velocity pi5 + kk*yyma mkw)1;qof 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of tsd4u 6r;fnfd oasgb 40;w:ed0z8 m;xa he earth is accelerating vertically upward aw;ud68f ; b:dragnmde4ssx ; f40a 0ozt $10\;m/s^2$. 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(4pvvuf 8n 0ws at one instant. If it continues to fall, one second later the object would be moving with a downward velocity closest t (spwuf048vvno:

  95.39: A car starts frve e-g.-)gf fjom rest and accelerates 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 drol qvvi:2*f8rg pped from the top of a building strikes the ground with a speed of 30 m/s. Assume air i:l* 8qrg2 vfvresistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has velocideu8 j+e) ;asw wx)4iyty 4.0 m/s in the upward directiwwiue)ed y+ax4; s8)jon. What is the approximate velocity of the object one second later?

  98.14: How long must vth+lxg3bjq o :m (;*ta $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling obib ;;yuw 9o,7yea3zgps7j k(bject is found to be moving downward at 18 m/s. If it continues to fall, two secib j7ks;,9p( g7 yaw3oeuy zb;onds later the object would be moving with a speed of

  17.02: A small object is released from rest a 8fgg:og7i9c/u tx yok2 /kp(and falls freely for 4.00 s until reaching the p7o kio: u y2ktf/98g(/axgcgground. What was the height above the ground from which the object was released?

  11.06: A ball of massdvnfk +0th1 hdi66 gy3 =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. When the ball reaches its maximum height, which one o3dnhg+6 6 dfyi1hv t0kf 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,rhud s is()g)v 0ff6o.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 it take the(6s,du 0hi)f vorsg) f 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 seconds cd((v3s-c ) mvqcva )naf()- cmvvs3cad) nv(qc ter it begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a speed of 1u jrvk0v/b :/h5 m/s. Coin II isr0kvh /vju: b/ dropped (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 upwardf1ed mkv 8b0jhqsy48-s with twice the initial speed of another, how much higher will it be at bj edmq-4syh 88vf01k its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/s j q+uucp*ln45. After hitting the road, it slides 45 meters to rest. jn uq l+u4p5c*How long does it take the box to come to rest?

  03.29: An object is thrown upwar 0zx.6umq ra7y68ch ezds with a velocity of 30 m/s near the surface of the earth. After two seconds what would b0 aymhzxqrz67u8ec 6. e the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) 4qe-ri 2o95m0h; 2yh0li(nlukbo1hvt u- y gware thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. vqyuwkg1 2 mt l-e4; ohul9-2honhib0yi(0r 5Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upwanp v zktglnkp.bj9*d2 :m6d,7rd with identical linear momentum. Object 1 has mass M and reaches a maximum heig nl zkv:mk dp,pj2g6n.bdt97*ht 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 bounce, the bo)vstmo f0 3x969;1g7g4hz gvvfjei4ir h kv6all 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 secondhxik6 gm4i v g hv46)zf;egf 9t1 rj730o9vosv, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fallf5 i tvd:)4d7u zz*gvy achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what wa zgv5f di7*yvz :dut4)s the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of the pebbvrph, ewh8f9 +le with the ground below is seen 1.50 seconds after the pebble is dropped.ph8r9 w,hefv+ With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage. O4 86nxv.s*b 8i i)wm1qidq+czli/ j gqne 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 time for the ball to fall was 1.4 seconds, approximately how 86 m81gw diicivzi*q+ .lqj /q)x4 nsbtall is the parking garage?

  05.07: A snail is moving along a straight:mjzfvh 6h x8/odp 1r/ line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and/o hfhrx zjv8m:p d/16 acceleration, respectively, are

  04.38: A small point-like object is pulled down5algitk+vyq-fm m -i*ws5vt.0 fz,*i wards by gravity (down the plane of the page) but is constrained to exactly follow each of the k 5i,sq .0 gtfyv-i*+m5a-lmvfzit * wfrictionless 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 qzt*bm c4 ;2 75xocemdtop of a tall tower. Half a second later another rock, twic4xmcd 7ebm z;oc25 tq*e as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comes to rh/ikw)u s*cq); vig -jes j) vw/g*)icq ;hu-ksit 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 rest?

  07.11: A cart is initially moving at 0.5 m/s atoa +,g *f8pvmub* u(olong a track. The cart comes to rest after traveling 1 m. The experiment oufauovpgb(,+* tm 8* 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 and runs in a straight line witq00bj(5ga nga h a constant acceleration o(5bqaj 0 an0ggf 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 o b6w yov xoyyx)iiu)3f64i: 5air resistance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much timeyiy66iiou )5y)o of:4 wbxx3 v is required to fall the remaining distance of 0.5h?

  10.38: Two objects both mov5d* : nkjorah6e and uniformly accelerate to the right. At time t=0,the objects are at the same initial pok5j*n 6ardo:hsition. 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 Object 2 to that traveled by Object 1?

  12.26: An object is thrown ho1e 1jlmh ;aq)eg 7p5gqrizontally with speed 10.0 m/s from a height H above the ground. The object reaches the ground with a q5h) gj emgpl1q1 e7a;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 thrown straight upwar6( fjr b,.hdbrv3wij 9d. The object remains in free fall until it returns to its initial lj9firw(r bj3d .6b,hvaunch 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 -dbkie,o7xa; n589 sqd1xr t tdropped into free fall. Through how many meters does the object fall during the first 3.00 seconds o;ebnti d,o 9 s1tqkda87rx- x5f flight?

  15.02: A box uniformly sl j2zx 3j0s3xj wjkf:9xides 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 sj3 w9j 3kzxf j2sx:jx0lide?

  14.07: Starting from rest, a cart uniformly acn(jb3ko qa g da937e1b rhq0 0xhcv47bcelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what dist07eaqbr ak ong731c hv3 hjxb4qd9b0(ance does the cart move in this time?

  14.16: A toy car initially moves to the right 429 6 f zwruyx;l0 fayxgge05qat 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 igq20 rwlz x94fa0x6y;ygef u 5t 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 60.0 cm/s. Five seconds later, 4,ok)qly/k:t gboz 3 h4td l(gmm8po6the 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 acceleration of the car during the five second og4(m8q lo6 tty lgopm:3h,db kkz/)4motion?

  14.33: An object moves with constant oa cf2*mt;un n4a exq.;* mx fyr/.i.lacceleration 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. Whicx l )hs.k9qehtrkf,c 43*fq3kh one of the follt ekfckh 3f*r3kh9) 4 sqx,.lqowing choices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the r2f9bgcn h un6f8.8h rnight completes 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 cofn9unbn c8.fg 8hhr2 6nstant acceleration must the object have during the 8.0 seconds of stage II?

  15.32: An object moving along ah))83 .tq4sy tkn,xsnr7t zpx line completes a 20.0 second trip with an average speed of 10.0 m/s in two stages. During stage 1,znt)py7hq3skr.t)xx , s8 4tn 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 of stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from l 0 z7-lsx1kkgrest. 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, what is the speedkllg 1-ksxz70 of the ball relative to the rock?

  16.36: On a straight road, a self-driving car races with a rob 7,zunix-0c0i*y sh 3thqm/gvot. The robot accelerates at iq7y03ih/g0cvtnhxu s -*,zm$8.50\;m/s^2$ 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 vez7jzteb wvoy4. 77rt,:bo3bsrtical position of the ball 0.70 s after release is the same as its verti7o 4r,tbej s7b.:wyvtzb73 ozcal 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?