94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and object 2sd, dc0qc)6jh falls frj,6hdcsd q)c0eely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uow .t/4j se2ea2bowf.niformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during this t22t.a ow4bjoee/w f s.ime?

  94.03: A ball is thrs5bbt7 p.b zz rnl;,zx+utc/3z/jc c1own off a high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 mb szp;57c3bxt//z cru,b l c+tzj1z.n/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface ofqz,/det )54g wbq 5grl the earth is accelerating vertically upward r b/eg4dw 5)5t,lgqzqat $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is found to5o 9nyo1 pl9x hj)8r; v:ho1fahmwo3k be moving downwards at 27 m/s at one instant. If it continues kmv3:yl1h8;hxwon o r59fah9 o)oj1 pto fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accelerl9ide(ho7 k 0lzxrr2f+ 9;koj4w amw8 ates 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 ground b*xsy 51xpjk fo;t8,fwith a speed of 30 m/s. Assume air resistance can be ignored. The height of the buoxysxf8,bt 1;jfk *5pilding is approximately:

  97.09: At a certain time, a-xy ,-xt0xhkk e f ivitu4+:.qn object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one second late+ ui yfi.:kqxetv,-4xk tx h0-r?

  98.14: How long must ag1ma4oik9/ k /u cviu/*uh*um $2.5\;m/s^2$ 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 do*0 -nhy).ezeqb :rszfwnward at 18 m/s. If it continues tore.n :*)ybzz-0eq shf fall, two seconds later the object would be moving with a speed of

  17.02: A small object is released from re.ilslu8blr vs5 ji(k 6g 36;lbst and falls freely for 4.00 s until reaching the gr ivg8 krlj;s6b3 l llusi.5b(6ound. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward sh p.30jvt:n lpo 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 the ball?h pt.:p03v nlj
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.100 kg is launched strac8lu2*mchzctj8 (qge j 4q53g ight upward so that it rises to a maximum height of 12.0 m above the launcg 284cm3l5jgh*u8q(tc zc jqeh point. Ignore air resistance. Approximately how much time does it take the ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclined plane has s n:zfj 6k47rycy7w 7fipeed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in th6yf7rfkyinz7c jw 47 :ree seconds?

  98.40: Coin I is thrown upward from the top of uj*y/8vk+r7 icz*y:n jig pr7a 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 +j /g p*rzu87 7*rn: jyvikciys 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 tjc qs5 jea;* 7ziw1t*ehrown directly upwards with twice the initial speed of another, how much higher will it be at i1cs5 qjja7* i;*z wetets apex?

  02.30: A box falls to the ground from a delivery truck traveling uyp /ak f-7p7:rauxxt. ( )nopat 30 m/s. After hitting the road, it slides 45 mete afx-up.uy7(p /to:7rk)pnax rs to rest. How long does it take the box to come to rest?

  03.29: An object is h 0ouwi x4ei7-5 6pd xjhmej4*thrown upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would bedu4 5p *ji-j0moxhee76i 4 hwx the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, l*sdm- ff 3n yn9y8-fs2m& 3m) are thrown vertically upward with different 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 n m-sl89fdnnf *s yy3-fegligible.

  10.25: Two point objects are launched straight upward with iderz1h7k* ys:8u3 rf5u5qcp est ntical linear momentum. Object 1 p1cshqs3f u7terky:5ru 85z* 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 boun*11 q wme.t6 (acdinrbk7 dx-nces on the ground as shown. After each bounce, 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 beareq(ik71n 6m1.dwn* dc tb-x the time between the second and third bounce?

  16.21: At 1.94 s after launch, a pytk*nxd0 . q26kx6e htrojectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the prony ex06d *hx6k tk2qt.jectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The i c 8;wxau;.zdjb bvx);7cy3rcollision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what spd wu vb;7ix;r8xc;jy3 a zbc).eed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height wu k0cwjqjzl8 , 6gqkq4jt/*: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. I6k ,kq0: /z cqj wtqu*l4w8gjjf 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 wbm.b ;.ccw*ljpzp0lws-/.mwuq 6u6 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 acceleration, r.0lq/m .b bsz6. ppmwjlcw-wwc*6u;u espectively, are

  04.38: A small point-like object is pulled downwards by gravity (down fphyv.t)8a8 gn+jz8le*/flj 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 amount of time (T) necessary for the object to be releasy /8ln8jf alpe f.vt+hg)*8jzed 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 x-v4 u ho )ww1vw,zv)jlater another rock, twice as mwwuv)jxz ho-)v4v1,wassive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cp5vs4yr8.uc ldr a 9h:dt8) .n)igofwart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cartwn84uh d5fcilrs dva y8g 9:.)p).ort is initially moving at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initiwtf o*ue(9dq9ally 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 is initially (99fequod *tw 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 with 0txiw. :06w:pg;ed. k da7oldx4 uoqf a constant accelerationut0k.do 7w64:fxle;ag: i .dd0qp oxw 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 ; aj cd8aatvxurv0wa vy v w7sj2//26-from a height h above the ground. If t;cvv w82jv02aj-y 7 /vasda6t/xuawrhe 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 rkktqmol( *m7q- o /9cjight. 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 the distance traveled in this time T by Object 2 to thatkc(/qj7o qkom9t* l-m traveled by Object 1?

  12.26: An object is thrown horizontally with spemp v:pofv rq6;ub;1 7jed 10.0 m/s from a height H above the ground. Tbvpv1ur;7pof :6;qmj he 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 the qo( zu47noj-d5tz 5yrown straight upward. The object remains in free fall until it returns to its initial laun n ej7z5dy4oo-tu 5zq(ch 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 m2e*)/up: pr6zsbjl 8-jrxjxk any meters does the object fall dpr:uxze68*ks)jx ljb /jp2r- uring the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across xk7;rg 6o: z/omwkcm 4d3tz-o a flat surface in a time of 12.0 s. What was the initial speed of the 4/orwk7 dm6mzo c:;z3 k-ox tgbox when it started its slide?

  14.07: Starting from rest, a cart unifo;q(dz c ;w.*w4sdebcnrmly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through whw;s4.d c*zn; qbed(wcat distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cbztf0d , y4i)cu ;f.6 zbp4rvum/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 averagy0z,i.u zbfvtb6 dp)c44uf; re 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 secondsy2t9 uzp8w* 8sz8ysi gg+- okuj y8tr4 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 thozg8 89jysu i8+8pu- y*k2 y4tr szwgte 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 w uq/lm1 o 47g9vsr,ougg7 dt+ak6dx8f ith constant acceleration 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 upwart o4+*frcx9fvd while in free fall. Which one of the following choices best represents the direction of the obc 9to+f vf4*xrject’s acceleration during its flight?

  13.26: An object moving only to the right completuaam3yo n-f-+es 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 seco-+o ya mu-fa3nnds of stage II?

  15.32: An object moving along a line completes a 20.0 second trip with aatek-(xnz ,3x n8q 50jpvcqif8(ohm* 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 acce v8zmqnq( j 0x-nefxk,iah*t 8oc5p(3leration 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. A ballh i,(p(eapkh:s 7grhpu-6wj9 is launched straight downward with an initial speed of 36 m/s at a time 2.10 s a, k(ppupr (i76jhhh9:sweg-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 - e bz9f ht(1w0c.gjy1mkhul :self-driving car races with a robot. The robot acceltucz-h9 yk1: w1.hl( 0 fgebjmerates 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. Thesvx -5o*xk .yeurwmxjr )22t2x/g x /z vertical position of the ball 0/2tw5 / jxz- m2gyxur.* ks vr)x2xxoe.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 maximum height it obtains during its flight?