94.01: Starting from rest, object 1 falls freely for 4.0 secr25m5f mvy clgx(dm/7onds, and object 2 falls frergv c7 ylf52mx5md(m/ely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed of 20d,ts 8foj2ml.7 b,dsouu.jw3.xx g8t .0 m/s in a time of 15.0 s.8 u3 mstdstx.xjgu8 lofd7,,2jb. wo. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff t be+e;pfs),, 4behnooo2w z -with no horizontal velocity. It lands 6.0 s later wi+ep4 foetbzwh-nobs ) o;2,e,th a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically okxklz .g2vj9) gc8k)upward kggcko8k.92z )vxj )l at $10\;m/s^2$. 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 d5t 7nb/km 2m-t-qcxrtqg) 2q aownwards at 27 m/s at one instant. If it contiq2rc5t7-qgnqm )m-bt t/2xa knues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest am94.a ezpip1hqxb52tnd 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 dropped from c: n aizu/:88wykahb8-t6lgi the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of k8ya/i6: hgn8aibctz uw-8:l the building is approximately:

  97.09: At a certain time, an object in free fall has veloci(com: px)vp fpcnh6y7(jcn0 . ty 4.0 m/s in the upward direction. What is the approximate velocity of the object one n.y0(ccpnpxpf) mj(6c: vo h7 second later?

  98.14: How long must w)s/eu(ar5 re a $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely fall)78juvy 1u pypzee9e1ing object is found to be moving downward at 18 m/s. If it continueu ezppeu) 91 e1vy78yjs to fall, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freel1v:/ e:*d1 keghkhevhy for 4.00 s until reaching the ground. What was the height above the ground from which thev h1e1h egvd*k :/:khe object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so tha*d u6kzuv v3/pt 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 tvu36vkp uz/d* he ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.100 kg is launched straight upward so that iv-zq z0ep:i0 dt rises to a maximum height of 12.0 m above the launch point.dzziep :0-0v q 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 speed 0.40 m/s two sec-xkg b *m-qri*6n w)geonds after it begins to slide. Apprgk mi*n- - qx*g6wrbe)oximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward 0 2irs ,k b9*nrtnoo9gfymq3v af k 5;gut9/;mfrom the top of a 100-m tower with a speed of 15 m/s. Coin II ifki kty93oan9;g, g2 nr5tfrqv/o0s;9ummb * s 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 upwards witvie) li/n0o ).hvosy *h twice the initial speed of another, how much higher will it be v*ihso)li. oe0y/ nv)at its apex?

  02.30: A box falls to the ground from a delivery truck traveling aywy/p7 gr4eo owym; x*t-n e/*t 30 m/s. After hitting the road, it slides 45 yoo;entr* 4* xp7eyw m-yg /w/meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards wit-dtior u5m,ps *xj32lh a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity and acceleratilxd,rup5-3j*io ts2m on?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vert3,3j+lxphmgb ically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each sh+,m33g bjlxp tone. 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 with yqk29op8lf 1 bidentical 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 launch pooy8fkqpl b12 9int in terms of H ?

  04.28: A rubber ball bounces on tqztvb2 2qyvq94qxj,,m m8vxt b,2 2jz he 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 secon,y8,v q2, bqzmx2jqqj 9vxzmtv2b4 2td bounce was 1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after lap 7uum-sf,xkvc c:fnn :07/aounch, a projectile in free fall achieved its minimum speed during flight. If that minimum speed was 1,u ksonxcc7 n-7fm:0pu : /vfa5.0 m/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropp+-z,dh/d e5/p(ci59 xtra.z y v skbthed from a high vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds a,ky irtv +ea-z/x5d.(h/ bdstz 95chpfter the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing ad0f6ycn a/*tq o :,phlyo,vs4bout the height of a parking garage. One student suggested that to determine the height of the garage, :dfoc *tls,yp60a,v4 nqh/oy 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 movi5i7rjk( 1jvk,uaw-j 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, the signs of the initial position, inikk7j uaji1rw5vj, -(itial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by grai8. qok)l j)kpvity (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 amount of time (T) njl) okp .qk8i)ecessary 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 fex x*qi91h9ujyty9t+gei w1 8 rom the top of a tall tower. Half a second later another rock, t yj9+txh191e*wt g8 xuiiey9qwice 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. 8d/rt72lzf;qrgngcq *vj 59h The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now2f*dtzc gn58h9vl7r qq/g j;r the cart is initially moving at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initiallac5bv4ts:6fmlnuz +n g th*t/* ;zpt8idlf ( 1y 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 moving at 1 m/s. How far does the cart travel before comi*uftm z*nb(8i d:/;l4l5t zghtvp+s1fna c6tng to rest?

  08.03: A dog starts from rest and runs in a straight lx3 5x,/6 jhf8utooz ycine with a constant acceleray6c3ftuo/joh,z5x x 8 tion 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 initial2fmnea.msax43( abco;* t zk-ly at rest falls without air resistance from a height h above the ground. If the ball falls the firs mo.-a 2(4;xab3zmka nfte*cst 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 trdafw; 1brim.c+wj 9m9w 2; ek3w3mhdo the right. At time t=0,the objects are at the same initial position. Object 1 has initial speed twice that owi9+whr;wr jd; ae w kmf32mmd .13c9bf 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 horizontally wc-nmje;+w +p+-lh fzc ith speed 10.0 m/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 repremz ;plh+-jnc-fw c+e+sents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remainp-r /bj,ze2 z-g 9d1ytvnyx: ts in free fall until it returns to its initial launch point. Which one of the following jv 9t:2 e/dyr1,-nz-tgz byxpgraphs 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 does w 5m9+zcu5zui the objec w9u5uz+m 5izct fall during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 xyg tmj .hlq6;uy 5wqi;/pug b;v,-a*m to rest across a flat surface in a time of 12.0 s. p.juqw,;;m*h;xi g5 ubtqy 6ay/- gvlWhat was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a spuf15oy 2mi(7 oxccwv3 eed of 7.60 m/s in a time of 3.00 s. Through what cfu1c woo x 57vm2y(3idistance does the cart move in this time?

  14.16: A toy car initially moves(y jh8()bwpyq to the right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s (q hyj) 8y(pwbto 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 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 second.b z )me7bhpepyc1r7 ,s later, t7bpyhm r) e7c, 1bzpe.he 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 motion?

  14.33: An object moves with constant acceleration starting with velpk/lm ;7gz k5docity $v_0 = 5.00\;m/s$ 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 upwaovm+*u2+d 8f.vbf blb;8vt g7u w dd1srd while in free fall. Which one of the following choices best represents the direction of the object’s acul7dbwobmf f2vg.t b ; 81+vu*dd8sv+celeration during its flight?

  13.26: An object moving only to the right completes a 20.0 sescpv,,7*tik j7d sl /acond 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 127*k,/stlvdj 7,ia cps.0 seconds. What constant acceleration must the object have during the 8.0 seconds of stage II?

  15.32: An object moving ae r-vy,wcxuaaj +t8)) long a line completes a 20.0 second 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 m/s to thevey) tuxa+ )ar c,w8-j 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 wv np:b4uh:o/is dropped from rest. 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 ho/:vnuwp:4b 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 ry-a+ortdts vz6x// : cobot accelerateo 6 ds tc-:v//atx+yrzs 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 vertical position hbir)x 8 b6fv);n(d szof the ball 0.70 s after release is the same as its vertical position 4.10 s after its releaz v6;r)(b sd8bx)hn ifse. At what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?