94.01: Starting from rest, object m,0 en5 ,ybloxdl(/ gw1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 wml y x05bld/n ,oe,(gseconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speedfc 4r 1 .rdp0in3j+qoye,xe e0 of 20.0 m/s in a time of 15.0 s djnf0erc43o 0.e x,+qpiyr1e. How far does the car travel during this time?

  94.03: A ball is thrown off sy3 38kxgwj/t:ufs3d a high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/ f/d3ky8sgxu wt3:3 sjs. What was the initial velocity of the ball?

  95.27: A rocket near the vrobg9//s: hun-acto(ja r)2surface of the earth is accelerating vertically upward at rh):v /aost 2u(a-c/bro gj9n$10\;m/s^2$. 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 b4v6:uv, d8ttbd7xbm. kw8d a se moving downwards at 27 m/s at one instant. If it continues to fall, one second later7as :b,d vmd48vkt68d wbt.xu the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accelerates af9 cs1mwch *5(j/kha tt $0.80\;m/s^2$ 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 nm2lw + n7 veolizqr)r5.:c z r;92lzsfrom the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance ca +zqm2el w :5 7sr );z9czlinrnl2o.vrn be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in fh.9 smm)m wqck.t.b8 ohf 4d,tree fall has velocity 4.0 m/s in the upward direction. What is the approximate veloqwh.k m8dt.bh,mt9 ).4 mc fsocity of the object one second later?

  98.14: How long must f5)f9 mw0ppdkv*u5pw:6g h r.pkbcp- 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 falling object is found to be moving downward at 18 m/s. Ighmg9(,) erqb 7y. yj6 g onlugrbv7./f it continues to fall, two seconds later the obbg,v greuom6g7y h j..q9/)gy(7r n lbject would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.00 s ucs kra 2ac):9;ikbva 3ntil reaching the ground. What was the height above the ground from which the object was releasbkka9a:)rc ;2isvca3ed?

  11.06: A ball of mass =0.100 kg is launched straight upward so tha1x9u td rv 6z31ad2jvjt 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 o1td z6uj391 ajvvr xd2f 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 la1io25o90yv- otmy m uqunched straight upward so that it rises to a maximum height of 12.0 m above the launch po o51mi oym2v9 -u0tyqoint. 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 31eq jpuv7u:)skp ehzeua-b2a3 n64aan inclined plane has speed 0.40 m/s two seconds after it begins to slide. Ae3ueza k6p3 p:uu 1sb4aq2hn a7v- j)epproximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100- zh (b8bt+jk p5r+e4xfmn7ov*amn8g-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0nnhmf75 m oa-bj8e*px 8v+rt kzgb(+4 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 +f 6hjxza +lk)twice the initial speed of another, how much higher will it be at i k)z+h fxlj6a+ts apex?

  02.30: A box falls to the ground from a delivery truck traveling ;mx:6bxby 3rzat 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come to rest?b;xyzx m:b3r6

  03.29: An object is thrown upwards with a velocity of 30 m/s near the surfc4ft)zuy/l ;gace of the earth. After two seconds what would be the direction of the displacemenlt/;)fy4cug z t, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically upward 3 fyi9n7 iy/mowith different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of ea 3mf/ oi9y7nyich stone. Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straightf vbx k6ddu,*g;yh j78 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 2M, whaddj6x v8uyg7b,f; k*h t is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. After each bounce, the ball7 opj6lz2d8tpb*0 eaz 20fxbk reaches one-half the height of the bounce before it. If the time the ball was in the air between the first and second bouncexz2bpekl7t0o faj b*8z 620pd 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 ac4kfyr78 (gv dghw z7q5g,wh,qhieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of l7 w, grzggh(k,5y7vd 4qhwf8qaunch from the horizontal?

  05.02: A pebble is dropped from a hhrvc((: s:fe :mow 1nn lx2)bsigh vertical cliff. The collision of the pebble with the gel:s o )xmc v: wr(2f(hbnns1:round below 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 student uvc*0z8 vsab3vd2,zq2zx .jcs were arguing about the height of a parking garage. 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 t*zc .bv a22 vc3sq0zzxj,8v duime 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 pocpap4/vs9x :pp ks7a- ,unv u;sition is x0 = -5 meters and it7 - /:nxp4p uaspk9; v,svupca is moving 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 objecn w 2x4yz*(qtwt is pulled downwards by gravity (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) necessary for the object to be released from rest at point A and travel to point B. Assume that in ch2 wzn *twqxy(4anging 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 to- bpo,.qdvoo1o j l// lds;f,swer. Half a second later another rock, twice as massive a/1v , lso doq,l/sob jfpd;.-os the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comes to e hd +onf:1;4nls8eo:ig m/m pg5y*mvrest after traveling 1 m. The experiment is repeated on the same track, but n ge8m/;g ep 5+fyl onmsdm:1:vo*inh 4ow 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. d*5i i bk0npd9*rk y zhvwtd,p) 65bg7The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initia 0b5ki9,bgn6dr)5vy*w* ppdidtk h z 7lly 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 with a co zjce6,:gzwdhmh/bd x 530 ih;ny0. ffnstant accelera6d5mhz.dencfj;i w,00 :hxz/ f3yghbtion 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 he e :yejcn-yj4s yu)h2/ight h above the ground. If the bally /hyj:jec-)2uys 4e n falls the first 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 moeispse *j3k,,x*5 fvo 3l3lxave 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 accelee3o x, il*5 3,xj3esvfla*pk sration 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 ffpv7q;;jx-5 y6 e cn7xubwz2 brom 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 tywub ;7x5jzbcnf;p exq 2- v67o the ground? Ignore air resistance.

  13.10: An object is tpcaf+nq9m hd 29t).e zhrown straight upward. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the veat.dn+ z pq)m2ec9h9 flocity of the object as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how mmjxd;d 9cb4x8any meters does the object fall xbd8m4xc; dj9 during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat s16g0k yd6*ts)kkq rbhurface in a time of 12.0 s. What was the initial speed o1kk)6 *h q gdy0k6srbtf the box when it started its slide?

  14.07: Starting from rest,;;rzd p,)fqe n)s iq)h a cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move in this ti) ,q;sqp;edr z fnh))ime?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five seconds later, eafm9 efwx0gvy l/2:u4 z 9u.bthe car is moving at 40ze:f yxv.l be2augw9 /m40f u9.0 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 velocity of the car during the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. Fxiq*giv vja z-)ylu:0f1u(4;pw g w2jive 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 wher4ux:ygw01gwz ajp*2q(- u; livfi)vj e 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 vutijn-) 35q oselocity $v_0 = 5.00\;m/s$ 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 up . qvrkuc+8tx+i3q so2ward while in free fall. Which one of the following choices best represents the direction of the object’s accelerqo8 q+xrkvctu s3 2i+.ation during its flight?

  13.26: An object moving only to the right completes a 20.0 second tricel4.9ejyi *rp 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 objl4*ry e.e9jc iect have during the 8.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 secov:;e /nwb8ygf nd 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 fong8by/ ;:w vefr 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 dropped from rest. A bal (y.vm.tx bi4ml is launched straight downwb iv.(mm. xt4yard 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 the ball relative to the rock?

  16.36: On a straight road mie*a4 fn+qn,ck) sn0u d9vm6, a self-driving car races with a robot. The robot accelerates am*qia n,f6en9+k cm4ns d)v0u t $8.50\;m/s^2$ 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 posisb/5)uj/-mmsby 7y xntion of the ball 0.70 s after release is the ssnu bxjm-5yy //msb)7ame as its vertical position 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?