94.01: Starting from rest, object 1 fllbb*qmt2w, 9 c8p1l qalls freely for 4.0 seconds, and object 2 fa,2q 9bcpbq 8 *w1mlltllls freely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformlgafbh4y:-h2x :yut s*y 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 : s-ug:hxh2b4 *yyfat time?

  94.03: A ball is thrown off a high cliff with no horizontal v 5oq/q 7rhan(b2nm (b5e,f ydvelocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of the ball2 vbn5(ad/(e n,rmyq qf7hb5 o?

  95.27: A rocket near the surface of the earth is accelerating vertically;s2+tnca j(sz upward at +c;t2z(n asj s$10\;m/s^2$. 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 :tinzme6)*yh at 27 m/s at one instant. If it continues to fall, ot6n m iyez:)*hne second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and nkxe;3 ewg,uzb/4a s 4 m0qm7ftd-5y faccelerates 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 r2zqg+ 8 gagc4the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the builr2gc+ z8 q4aggding is approximately:

  97.09: At a certain time, an object in free f/j a9kr,f yqu0all has velocity 4.0 m/s in the upward dik0 fua jy9,/rqrection. What is the approximate velocity of the object one second later?

  98.14: How long must am:prhqb .to72d3 0qr81zjd9 r t fd)iq $2.5\;m/s^2$ 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 18 m/s. If gg5 tra/ ltg1,d2d:( gpj aj;oit continues to fall, two seconds later the object would be moving p go;(t,12ja/ lg rtjg:dadg5 with a speed of

  17.02: A small object is released from rest as3p*go)rgz a71rj4sp12 fah n nd falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the objoj)17rgrsn pazpas * 43hf2g1ect was released?

  11.06: A ball of mass =0,escz6o2yxr0q wjcm/7 i h;.f .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 maximuw/smjh 6cq .z07or, f xc2e;iym 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 =0.100 kg is launchewd cum wu00pp8 itnwu*7j:/,fd straight upward so that it rises to a maximum height of 12.0 m above the launch* uwj870 c 0fw/,w: puuntdimp 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 oxiv yg+8f .g:w .0clwspeed 0.40 m/s two seconds a8lwv o..gf+iwcxg:y0 fter 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 spekl84.3o uq6)x8 vaagj-o cdlp vd wwp:s*r/1eed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s later. Assu6pe-v/vwu dcwdlgq8: 3 x.las ) aro*41 pk8jome 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 xc;qptje y 52( -unl9ny+jl+wthrown directly upwards with twice the initial speed of another, how much higher will+ 2(w5jye9 n+y-ct ujlxlq;np it be at its apex?

  02.30: A box falls tmcle6sbrp: sze,*/glc41x xt n+d7 ( 0rhlhb-o the ground from a delivery truck traveling at 30 m/s. After hitting tg0db elshml- rx(6+tr1 czxc 7*4epnb,h/:ls he road, it slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a avhdvxkv(g97g,- x6 irjm2u/velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity and accelhuagim6j /r9 2,xg7xd( vvvk-eration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown v60-m3pfdg. nkdk se+vertically upward with different n+kp-e0md6kfds. g3 vvelocities (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 negligible.

  10.25: Two point objects are launched straight tzmm44yg 8.sr upward with identical linear momentum. Object 1 has mass M and reaches a maztg 44mms.r 8yximum 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 bounces yzaf4yldj u:7bj * kc/d4 q(yzhi24*ron the ground as shown. After each bounce, the ball reachejkq y4uydifrjyl*/72b(z ha *c4 d4 z:s 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 fall achzn (f:e ols4ph;5x2u aieved its minimum speed during flight. If that minimum speed was 15.0 m/s, whax 2(en:4hul;ofas5 z pt was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high ver8kt/a9u:f19a (r4x tdfxlm ls tical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the 1 rl l/8axd(9t49 sfu: ktfaxmpebble 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 p88q.u/wkbz 7*j n10oh ptrpxr r(6sfgarage. 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. If the time for the ball to fall was0pq1z6u8rfp/br k7sjt ro p .(8 w*hnx 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along ,4xk0dqh wx( zv5jnkkfi,76ga straight line. Its initial position is x0 = -5 meters and it is movinn dv ghkx,7k ,iq jxk46(0zfw5g away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (+ t)ylq pax(jj,8ho v.down the plane of the page) but is constrained to exactly follow each of the fricv8p ()o +lj ahq.,jytxtionless 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 n q (brl(k dxpo*9h1v2a tall tower. Half a second later another rock, twice as massive as the firsthko 9lq(pr2(n* dvbx1, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The ca52nqrp /56a pcqav9b 02 pjxrart 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 comin2 ar5xv 92 np qbcap06j5r/aqpg to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. The cart come4sc1 v3 ;go-)us.en-ylhxl*xbw+ ua o s to rest afes 4*ngb-oly)l-uo 1xxc.u ;vshw+a 3ter 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?

  08.03: A dog starts from rest and runs in a straight line whf zt2*s1dj-5 ,nl adtith a constant accelerat2hjdd5nt t -1al fzs*,ion 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 gkki pvy(rt8 n5+y1t/6o sd9ba height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is re tv(ty 1i6/gk89sp dbok ynr+5quired to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right.zz 8nm*n.*i 5kn0ecej 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 thatz ikn.jzem0en8* nc*5 traveled by Object 1?

  12.26: An object is thrown horizontally with speed 10.0 m/s fr)5bst 8u 7knaqom a height H above the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of the following7)aq85skbun t choices best represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrownunswam :kk4q.c xy(1 6jd(q i2 straight upward. The object remains in free fall unti4xq:(i6w .qa( njk2mkcu 1sydl it returns to its initial launch 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 hopf9 7 gj5korqn :yicz9p61rv2w many meters does the object rk 6v i9cp9g qnopfr75 zyj12:fall during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to ryn wl;2: kan6vest across a flat surface in a time of 12.0 s. What was the initial speed o ;va6n k2n:wlyf the box when it started its slide?

  14.07: Starting from rest, a cat8gn9 6euanf0 rt uniformly accelerates to a speed of 7.60 m/s in a time of 9 6f8e0ntu agn3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five4*- w ekv7/k;rmjna6 t yra)hc 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 oe)r j-4;a*nvc76khr/ twa ykmf 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 torgp 3 lpfi3*55dlq mo* 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 magnitmgl5p5*rpl qd* 3fio 3ude of the average acceleration of the car during the five second motion?

  14.33: An object moves with constant acceleration starting with velocr yvx18) 1oxhf9 k0jkcity $v_0 = 5.00\;m/s$ 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 montiq0 ey ph3..sop1-bving upward while in free fall. Which one of the following choices best represents th.1.-0 bqpiots 3ynep he direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes d6jocsa.ynu y,shb; (n+a etc((-/fsa 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 ot+sns(yc so naufh (ayd; ec(.,j-b6/bject have during the 8.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 secqc,x-kjtwm.j 3) 0 v bov6heu/ond trip with an average speed of ,hj63bmt)v/ecw .oq kujvx 0- 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 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a small rock is dro6 lwvr(51og btpped 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 speed of thegvw o5rb(l61t ball relative to the rock?

  16.36: On a straight road, a self-driv; y 8w7 rn3c79; ygugz5cqgkqsh*hr)hing car races with a robot. The robot acce9qhh5kcngcrh )qzrg gw;u;y s7 37* 8ylerates 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 upwa1chrf9w1(js x rd. The vertical position of the ball 0.70 s after release is the same as its vertical position 4.10 s af9hsfj 1r1(w xcter 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?