94.01: Starting from rest, object 1 faf3eseg*rg+ km-;;ugjs * ayk,lls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared t;m*karyg- g;euf se*sk ,+3 jgo object 1, object 2 falls:

  94.02: A car starts from rest and unifourf jkl80x n5)rmly accelerates to a final speed of 20.0 5 x8n)jul0rfkm/s 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 horizontal velocityf 4ursplp4 wnz)1nyyb f85m.3zor3b3o ; 1 jce. It lands 6.0 s later with a velocity of 40 m/1 ;uoz81 c4 sr45e f porylfn33bynb.m3) zpwjs. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerati; i g6te:v:dbox lm 2cx*-lyt hzi4ful58(0 nwng vertically upward xn ed;l2w 0b xytv4t5i8-*gllui(z6c:fmh o: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 rf;8cvgq r 05w-t 4fgtkszi((found to be moving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward velocity closest tt8r 4-g( c iwgsr;q5t(0zff kvo:

  95.39: A car starts from rest andf/ scob).0)yvayxl o8n8; jzrr3qb( x 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 the top of a buizgp:f.grxjjduoz . zg /3a85*lding strikes the ground with a speed of 30 m/s. Assume air resistance can be ignoredjogguz/af.z8*z . jpr53d:x g . The height of the building is approximately:

  97.09: At a certain time, 4ee+gt*s73g zfe5yzgan object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one+yeg 5 fs3zge7tz4ge* second later?

  98.14: How long must r nkg2a1bsc:qzshe5 -(k, u(ca $2.5\;m/s^2$ 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 downward at 1f+w 0yq snbne/8m (sb,8 m/s. If it conn(w80yf+s,es/ qbm n btinues to fall, two seconds later the object would be moving with a speed of

  17.02: A small object is rel+ g-dcj7xo l+xceu+bwwo;l za.,g 0v;eased from rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the object wao0 +dg+,-+ll7x;vbag;ex cwjz wu .oc s released?

  11.06: A ball of mass =0.100 kg is launp : :9bnencqh xc7k,ax1 wpf e(ej4*t8ched straight upward so that it rises to a maximum height of 12.0 m above twexc,7ck ( xnebe :aq tfj8:4*n9hpp1he 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?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0h1 .t aa*l:jm zjr lsz;-*k(bn.100 kg is launched straight upward so that it rises to a maximum height of 12.0 m above the launch po:s*aaj(lhn 1r.bm* lzk ;t -jzint. 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 secon2 m 6q7ztupihfu+g8b;e 1vo 0uds after it begins to slide.uboiu7uh6pg+m et 0q2vf81z ; Approximately how far does it travel in three seconds?

  98.40: Coin I is thro8u6 pbd;z w8ceuj rh y,p4m4+fwn upward from the top of a 100-m tower with a speed of 15 m/s. Coin IIfh+czb8dw;8jm eryu 4u4p p6, is 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 upwa old; lgw. w.h/ ai efj+uk x394z67)j-wjpxshrds with twice the initial speed of another, how much higher will it be at hpjj.o9lxwal; z-6 w/w3xg +j) es4i fkdh.u 7its apex?

  02.30: A box falls to the ground from a delivery truck traveling, rdaye2vtof35;i . wygag a(2 at 30 m/s. After hitting the road, it slides 45 me5.r(iyv3ay2eo, ;ad g2ag fw tters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of;yl uo/-ht c4d 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity and -4 uc;/dthyo lacceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are throwew6 ju)4 sm+oan vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mas6j4)es wmauo+s 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 straigh cc3l()r ou(d hnpv*l;wtq..w t upward with identical linear momentum. Object 1 has mass M and reac ru. .n3dh(qww vl;tl op*)(cches 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 bouncesxso b 0cch/m2* 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 mb0* oxc h/2cs1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achieved its mini;zvy cq,5i-drqje 5+.qx w8t bmum speed during flight. If that minimum speed was +qd b-;z8 wc5qqvryjit.e x5,15.0 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. The collision oagnt)7ra6*oogq9) mz 8fmsd 8f the pebble with the ground below is seen 1.50 se 9 8)8tn *zmdaqso6g7rgfo ma)conds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about y hqdbo0 anb1dq0i:/y 7o1;s xthe height of a parking garage. One student suggested that to determi:0d1h/yxi qsb1d7aq ; oby0none 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 straight line. Its initial position is x0 = - dwd+)b y.pff/1d98 lvnuik k o76yl*i:ua9fm 5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velodf l6ka*8 /ow)n9 .u+bdkpf 1ii9my : dyfl7uvcity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down the pl cdx07qs aas g06pf/5lane of the page) ag/d5l6 7s0saq0 pxcf 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 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 s1qdr3gq3mjw zzb x,b56vw)u 3econd later another rock,qj gwb 6,1r d3bm5)wz33x zvqu twice as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially movingfw*uv k6r9eda,v; 1se 3kazw/ 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.v 3e,*vdsz afk1w ra9e6k/;uw How far does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0.5 e*o9if5+ bcni3 lw6iom/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 cc 3lwfoi* 96o+bn5iieoming to rest?

  08.03: A dog starts fr (be)w4j9 bqisom rest and runs in a straight line with a constant acceleration of iswe(4 )9bbj q2$.5\;m/s^2$. 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 mt;6lj9zd8ne resistance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the remaininlne8 jd;tz9 6mg distance of 0.5h?

  10.38: Two objects bd m*yd+yk0g01 nax3thy mxw9 (oth move and uniformly 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 ax0 1 m( g 0wy*mxtdk9+nyy3hadcceleration 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 throwntpa.jn,/t u8c horizontally with 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 ua/,8 j tncp.tfollowing choices best represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown st7sy-pluu391fjv g b4cmc i/yum7 :;t1qua; sjraight upward. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs couldyfu9u j31ct-s;/g:c;7v1i7ums a4ubjmy p ql 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 )i qlt+v.q-lr15bwzkmany meters does the object fall during the first 31 t)i llq+b-kz5. wqvr.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest acr;zmqvk3 kgfw1ev-b 4,*l7,scm rst0ooss a flat surface in a time of 12.0 s. What was the ilqsvskfg wb3 4,m;mrt17 vocze *,0k -nitial speed of the box when it started its slide?

  14.07: Starting from rest, a cart un8 6wykw b;7lyziformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the calkyz 78 ybw6w;rt move in this time?

  14.16: A toy car initially moves tk:0n. z5f:y o bfdy3fuo 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 zfu3kyo5:f . nb0dyf:magnitude of the average velocity of the car during the five second motion?

  14.17: A toy car initiallx jl(l+5w,k kzc4l nf(y 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 following choices best represents the magnitude of the average acceleration of the car during the five secondllznf(kx+5 4,ckjw( l motion?

  14.33: An object moves with constant acceleration start: 1e3dlxsbb* ;um iq+ejz.6rv utun 78ing 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 wlb4/f y 1nedy3hile in free fall. Which one of the following choices best represb4e1y / yf3ldnents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 sec q3abrw 1 lgn6 drk))l9iajg4p96m6vjond trip in two stages, I and II. The average speed of the entire trm ) ldij6j9r6k awglg3)pvr 149qn 6abip 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/gh c-oda)v *ddiqc1 9 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 the right for 12.0 seconds. What constant magnitude acceleration directed to the left m vchacg-*9/ddo)q i1d ust the object have during the 8.0 seconds of stage 2?

  13.33: At the top of a hi 3ug n : 5sti8:t2jkc/:uvkj9 wmdz8olgh cliff, a small rock 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 rock, what is the speedc:/m8tz:3ujgd k9 8 5 n2wu:ktolsjiv of the ball relative to the rock?

  16.36: On a straight road, a self-driving car races 3pln2 (ae6p fgwith a robot. The robot accelerates at gf3 el2pna6(p$8.50\;m/s^2$ 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 verticzil8(emi-u i( al position of the ball 0.70 s after release is the same as its vertical position 4.10 s after its i-(mi ui l8(ezrelease. At what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?