94.01: Starting from rest, object 1 falls freely:)k 3llljatyrj +v6m3i(a46o uugl9p for 4.0 seconds, and object 2 falls freepj:g(ar4 k lytl3v6+ao u 6i93u)llmjly for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformtbj,11sk er4 0jf2rebjk 0s./kwa fn3ly accelerates to a final speed of 20.0 m/s in atrfj 3kkr e. 21be04b1jj ak,0ssf nw/ 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 horizonti .wkxt-wvhvk /urkl4 o( 8 9:1j)edvmal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initvv k1txrd)8m kw4 (j-u.o9heiw k/l:vial velocity of the ball?

  95.27: A rocket near the surface of the ez1f9 af77tfnw arth is accelerating vertically upward tnwz7ff1fa 97at $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is foundwwa 5/iqp5a 9g 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 velocit/ 9p5gq a5wiway closest to:

  95.39: A car starts from r*;dsx:e 00ms4ogiiy xest 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 droz3ekn21lx sm.pped from the top of a building strikes the ground with a speed of 30 m/s. Assume 3x.es n12z lkmair resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has velocity 4.0 m/s in the u i4 lq/3p*me2i3hhccopward direction. What /c h4mip3eioh*cql 32is the approximate velocity of the object one second later?

  98.14: How long must aws0 rh.ka/0 mgx;enb0 $2.5\;m/s^2$ 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 pe o0ldh0o/ul;l* sgm4i mbz7re-r )1moving downward at 18 m/s. If it continues to fall, two seconds lao/ u*lm;7hib1rlmz0epod e40g)l r-s ter the object would be moving with a speed of

  17.02: A small object is released from rest and falls free clm4u8f20.:ylgy 3 nxiypsc.ly for 4.00 s until reaching the ground. What was the height ac2s3pf.l unim804ylygc. y x:bove the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched stzx9 k5xk8y w.0g8 o e-stw7fph)z/g turaight 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, whi.8xt kt kg zogxw 7058/)spfuwez-9yhch 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 launched s7st+g ti/1r0;3xt5 sr wk tavntraight upward so that it rises to a maximum height of 1;7ittn v0 krrt+g x1/ 5stw3as2.0 m above the launch 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 dowc2/ mlc o7rwz,o2iu q(n an inclined plane has speed 0.40 m/s two seconds after c(iw ,r27mcq/2 ozoluit 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 speed oz6m 8vf/laitd .k++xk f 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s later. Assx+z+v/d6aktmi kl. f 8ume 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 sdv wnpga-rh8 c63d 53ezbj 8u5peed of another, howjp gw5 bad-v385d eu zh86nc3r much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck trave;wcf x rqd0g72ling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long doe0c;7gw2df rqx s it take the box to come to rest?

  03.29: An object is thrown upwards with a vb*ry b*2bi3 fselocity of 30 m/s near the surface of the earth. Aft y*23 i*bfbrsber two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically u9 1*t xy 2 *:mmkobzs,qr0zslxpward with different velocities (1v, 2v& 3v respectively). T* zsyo2mz* ,x91bx r kts:q0lmhe 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 strt(l5 9(fduygc-;-dmrc 7a 8j eo-g askaight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H aboc5 -8uat-g9 ro ye7gfjd- cdkl;m s(a(ve 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 on the ground as shown. Aftec(i q 5 b;t9jnqn f9rsxov1.o2r each bounce, the ball reaches one-half the height of the bounce before it.o99tf.s5cn;ivx2bn qoq1 r(j 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 achieved its minimumlq/id24;bw s w speed during flight. If that ;sb4ld / iw2wqminimum speed was 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 o9 wmo by/pwh77f the pebble with the ground below is seen 1.50 seconds7 yw 9phbo/w7m after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students wh ciqyb e6bku3d qh/58p6c+q81u ibn6ere arguing about the height of a parking garage. One student suggested that to determine the height of th1inq85+/chbp bb 8eqydh3qu u6 i66ck e 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 ic2e h 2tzi( h2up;hti jdi*i6a -+o-kgs 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, respectivel2-ac hhiik2ghpitd6-+*( otu;2ejz iy, are

  04.38: A small point-like object0btup +,yh)shtu;o ga/:zd- /u:ljwu is pulled downwards by gravity (down the plane of the page) but is constrained to eu,/s: ) uzbyh wgu-h0 :jopdlt;/au+txactly 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 7 f6w:e(tlgyl 3e2e +qfcon: ufrom the top of a tall tower. Half a second later another roco2c+ly 6ne 3e(:tf7qgl f: weuk, twice 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. The cart )eu( vwdisfaidv *3:y 1c+o5 dcomes to reivud:+ec v5o(fsda3*d iw) y1st 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 coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. Tu98n,yp mh jy0gs+/ ,lzbk jg0he 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 do, pzyg k8ljnu+0js9 ,b0 g/mhyes the cart travel before coming to rest?

  08.03: A dog starts from rest and runs in a straight line with a/.joqi1p: x njczh* 7gh6l,mw b5f+pp constant acceleratip g /6+iz,jfpb*omj.wnp 5 xhhl:cq17on 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 a hec hj wq2xso2ojx;2.f) ight h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fa.22)wcxho j xs2o f;qjll the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the ri gfhh)hx- n3c-djrioxp 8k a6fi;: x94ght. At time t=0,the objects are at the same initial position. Object 1 has initial speed twice that rgi hap-x:6 fjx kh3;nd)4-ic8x9 ohfof 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 with speed 10.0 m/s from )t3 )) nmmf-9ncrbo1mbx htt; 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 represents the time of the object’s flight to the groun9x) tn) brtm)n;1mcm hbf3ot-d? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in free fvl3oj*dmw h:j+cgt x -t/ f),fall until it returns to its initial launch point. Whic lxm-j*g, j3o htc/)tf fd:wv+h 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 fal5-o a yz hxio7 e5pcfu4,)lff7l. Through how many meters does the object fall during the first 3.00 seconds of,aelu5 )p y5ox-7 oc ff7hizf4 flight?

  15.02: A box uniformly slides 7.50 m to rest across a /gend q1qfs ;yw;5: ckflat surface in a time of 12.0 s. What was the initial speed of twe:d f;c/n qy5 1sg;qkhe box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 m0hwz2dmtqr +e64x7( 4fhsvc m/s in a time of 3.00 s. Through what distance does the cart move in this time?2hdmr+sx 6hft4 ezc0v( w 4qm7

  14.16: A toy car initially / zsa7(or ;nve (ye2nkmoves 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 i( rk ane7o(se2nzy /;vs 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 su;otgwwvn2fv 9b, hq 5z)n8e8 econds later, the q,wn 2ef9n o);v88gtw5h buvzcar 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 const+xuootf-a z9+,y4w 1l 8 rnfadant 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 mx69ofohr6ch+dg89 q7kxm) gd oving upward while in free fall. Which one of the following choices best represents the direction of the co9h6gx mq9+ d7o rfhd) x86gkobject’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second trip in two,+tm m pr l n+r/:lo0i1q97gyp*rmxk s 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 mustg+m/lny0kr lpq,: mrr*7s i1 p+mxto9 the object have during the 8.0 seconds of stage II?

  15.32: An object moving along a line completes 87;-wtn s0j j m dfnyqr.1cwc;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 8.0 seconds jw;r8tn q.fnm ;7c1s0w-cj y dof stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from rest. A +)2npgyf ooo4mgt ,4gball 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 tmo g24ng)p4 +y,ofgo28.0 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 car races with a robot. The roboondc-ld kc ylmww 8;)0k(+v/zt accelmkc+w8o- ldd;0nc() z vy /kwlerates 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 of the bal5z,a f 1py/ja0 b5rncqyzz ;j(l 0.70 s after release is the same as its vertical positi5 fbrnzy/j0zp cj ,z(qa; 51yaon 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?