94.01: Starting from rest, object 1 falls freely for 4irjrp :ni3o6( nvlw2(uc*v /a.0 seconds, and object 2 falls freely fvn(wal6r n2v jiiop( *:3cur/ or 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly acceleratdq+kqjn); xfaifh 0l gw-*q99 es to a final speed of 20.0 m/s in a time of 15.0 s. How faraf0)q qjxghi wk +lq;9-9 *ndf does the car travel during this time?

  94.03: A ball is thrown off a high cliff wiszyd0 xk5v;nd99p x vo;4n46ek(iwsoth no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s xd5p; e94ks49ox n(dn;60 yvwokivsz. What was the initial velocity of the ball?

  95.27: A rocket near thi 9+4ewdhs 2q6fu9 tgbe surface of the earth is accelerating vertically upward ag6f+29sui q9 d tew4bht $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is uj7 2cc 8.l q8sosc)va:e:gos found to be moving downwards at 27 m/s at one instant. If it)qss o:7: vasej2ccg l 8u8.oc continues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts frompx/y 76 y2uepe 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 droppez5wodr n(n u):act- s)d from the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. Theu):( -on5trz d scan)w height of the building is approximately:

  97.09: At a certain time, an object in free fall has velhk69dcss /.m jocity 4.0 m/s in the upward direction. What is the approximate velocity of mcj. kss/d9h6 the object one second later?

  98.14: How long must a ,h1opscgu 7m ,$2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object2 5c 9op7v4lslhgtjj) is found to be moving downward at 18 m/s. If it continues to fall, two seconds later the objes47p 2)clogvt 9jj5hlct would be moving with a speed of

  17.02: A small object is released fr; ,ioj u1kc.mrom rest and falls freely for 4.00 s until reaching thij mouc;rk,1 .e ground. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg s(purw/mt 8 n5//x lcfis 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, whic5r/mxc lnt s/8/(fp uwh 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 is launchedt 6g /ounb3d/xh:uu djly 8e(/ 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 ittox /d(uynb3 ld/ ue68jug/: h take the ball to reach the maximum height from its launch?

  98.31: An object sliding down an incl2:mfgh- phjxx;*m4b rined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in three sec2mhphj -*f;:x mbrx4g onds?

  98.40: Coin I is thrown upward from the top of a 100-qq;4 o0s)br mnj0wyedx o4a0)m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) frm0s jb a qoyqx nwd)e)40r;04oom 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 with twice the initial p4)u o s*wi31j q;dnetspeed of another, how much higher will it bd*w4o;tn ui pj3 es)1qe at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/s. Afs26. 5wo/upfo74mruejr 9boe ter hitting the road, it slides 45 meters to rest. How long does it take the box to come ojf. 7rs2/ ume4rweouo bp965 to rest?

  03.29: An object is thrown upwards with /.h+ sb7hx jbga velocity of 30 m/s near the surface of the earjhh.+/b7bxg s th. After two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of diff :f )p2d t:r0rx -d5(wrilkbtperent mass (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the ma ifrptdltr w2d(-p:x r 0k:5)bss 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 are7n;ri-ban kz hde+m94 launched straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has mass 2M9n i n-b4a ;ekd+7hzmr, 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. kdqr 83k7 ,71a ygaz6q3exuxe After each bounce, the ball reacz3d,kyxeake7r3q aq 8 6g1x7uhes 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 between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fallvxj)b x) xx;9mwb5 gjz0au 2xte22+fw achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, whvju)me9+wxxg 2jtb;52bafw2 xx)z0 x at was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cl,awp8osrj 0p .iff. The collision of the pebble with the ground bersp 8j,a 0w.oplow is seen 1.50 seconds after the pebble is dropped. 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. Onecmumb/z ;l1 uz7xx o3: student suggested that to determine the height of the garage, they simply had to drop 7zu zx o:bcu/1;3 mxlmtennis 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 = -5 q 8svyz s3ri5f,u w)h3meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial 5yzuw3,sq3rfsv)i h 8 position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gras*e kqzf p..pu .j :gs(w10bikvity (down the plane ofz s1. *iw.sp:kej0 bk.(ug qfp 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 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 tatn hp2n; g87g*iz:jzsll tower. Half a second later another rock,ns hgpn7i2; tjgzz8*: twice as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0..-hk()vjlq sv0 tdp*e 5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment- pqd slkv(he j.0*)vt 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 rw.md( e(+ ejvxd+e x+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 doe+de+ +d rev.( ewm(xxjs the cart travel before coming to rest?

  08.03: A dog starts from rest and runs in a straight line with a constant acceleph9a5:ubgwnu vq).tjbn7 y2(ration v)ahp(7q :j wn tu25nbg9bu.y 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 from ,ya +f2p j ocipi4(k8ya 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 remaining distance of 0.5h?i y pk fc4pa2(j+,y8io

  10.38: Two objects b b/jyxhh5 r 9bfypuin2+)-.zf 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 ihf+ /)jxzb5p nry9uhf.by 2 -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 with sp bjhuqp):t9e3(qe (cq eed 10.0 m/s from a height H above the ground. The object reaches the ground with a speed of 20.0u)pe3(qh:j 9ct(e bqq 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 upward. The object remains in free fallh9n q9.t pmn4tyk1l2 w until it returns to its initial launch point. Which one of the following graphs could reprewnp9h 2ty.nmt q91l4ksent the velocity of the object as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how m aipqk)2pz0 k1:oje .pkyi;l6any meters does the object fall during the first 3.00 skl ikeqp1p6 yo);z.j2 ka0i:peconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across gc ;l t.pa05kda flat surface in a time of 12.0 s. What was the initial spapl.;0tc5 dg keed of the box when it started its slide?

  14.07: Starting from rest, a cart unii.hg7z9kfoy29 2p bj1 y e+wwbformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance do iyp2w27h9bf o.9k +ezwb1yj ges the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/;/j)o kx2j,irk.oyy ns. 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 snj ,;ok/.yi) ykor2xj tarted. 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. Fivegg nom:9pu4 ly5evq 2/8nj5gn seconds later, the car is moving at 40.0 cm/s to the left. The total displacement of the car during this time is 1 5:jg4p8o /eunn9 2vlqygg5nm0.0 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 acceq) *o+-cofyo*b;u tc fleration 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 u 1kcfw9x +q6u09usfqux; ze4 mpward while in free fall. Which one of the following choice ufuq99ux1z 4c60wfmq+xs; kes best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second t. ps7 34j+kqrqgkjdkt b3+dh ,rip in two stages, I and II. The average speed osd bjd 4k7j+qkg 3pkrqh.+t ,3f 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 lineqd (vqv8/y9r* we xlv: 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 must the object have during the 8.v(el9y*vrx /wqdq: 8v0 seconds of stage 2?

  13.33: At the top of a high cliff,5 d/; 1m7f*ofapu tmxo 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 ballu/x;amfom *f1tpdo 57 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 self-driving,r9j+2evv q(szqd d 4v car races with a robot. The robot accelerates atdv(r 9qjd4ev v+s,2 zq $8.50\;m/s^2$ 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. b,klbut1+ x/x (eh3tlThe vertical position of the ball 0.70 s after release is the same as its vertical position 4.10 s after its release. At what time is the ol1+/ l ,(xebxttbukh3bject first at a vertical position that is one-half of the maximum height it obtains during its flight?