94.01: Starting from rest, object 1 falls freely for qun y9+d9do07ghb( xq tavq.:4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, object 2 fa9qbun 0q +.hq7y dagx 9vt(o:dlls:

  94.02: A car starts from rest and uniformly accelerates to a final ch/p 9a+s1ff y;oyx7b9kdg2pspeed of 20.0 m/s in k72afy91py+phc d;xs bof/ 9ga 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 veloc;7c q;1w2lh 5edro2ji1,c.oetmdn bgity. It lands 6.0 s later with a velocity of 40 m/s. What o7 ,l e mbjod;eh52q n2r;1wgctd.ic1 was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertica:.uaf4c be i2s3 :saar5 wfl9tlly upward sw:ru2f .a 9a43ebsftal5 c:iat $10\;m/s^2$. 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;v1b b+b uedm 1a3:ueh 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 downwarb3du1u+eva:mb b he1;d velocity closest to:

  95.39: A car starts from rest and accelerateskfbkc+ b5uj a6.))o ch0c k8fs 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 building strikes the grounv-i(r2g:rrru d with a speed of 30 m/s. Assume air resistance can be ignored. The heig vi(:r-r u2rgrht of the building is approximately:

  97.09: At a certain time, an object0u:gphrp7( +peursnrbz w9 8:sd5r/e in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velo shs rb(rdez+9 urr7p8p:ug/ pen0w:5city of the object one second later?

  98.14: How long mustj8kaa2yu, yo 7 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 downf0g6 , xigyoy7tvr75 drj5w;kward at 18 m/s. If it cogdr;ftyj yig 77o05,wk 6xv 5rntinues to fall, two seconds later the object would be moving with a speed of

  17.02: A small object iwu8( /qwfx, fjs released from rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground frfuj,qf8x(/w w om which the object was released?

  11.06: A ball of mass =0sz n-8db )s7m zubl0io1juz:n9)db0 m .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 maximum height, which one of the following choices best representso07 usj)lb 0n zb8bd- zd1u:9)sim nzm the magnitude of the net force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of massi oj,g 1dz+es3 =0.100 kg is launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much timg31d esj +iz,oe 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 seconds avbhd -* d;xi;eoo(up ::*wx hofter it begins to slide. Approximately how far does it trav: x-; uhox:(obdowdpiv* h*;eel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m to 1t 7)ywd+6u s6wxxxiawer with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tytsxxwia ux7) w+6 d61ower 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 sp c oy4fh xr):e+-*tc0b r :rhqw,hp/deeed of another, how c rw o+r/-ph4y,reth q 0c:de*f:h)bx much higher will it be at its apex?

  02.30: A box falls to the c)o qlm xoa12vcd:av xm ;sk66 ;;6/oodvoh;k ground from a delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to recv62 ;o dq6c:kov m/lo ;kah6x);;v dx1moasost. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a vh /4)hwhtuc)i6 ls c;r:6vjeielocity of 30 m/s near the surface of the earth. Afteru:c s6ht;j /ichvehw6il)) 4r two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m 91.k) ed6t92harpobfs b /mfd 7s,mzd, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectivelhdf o7r2 zm 69,/emds) db9a fb.ts1kpy). 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 upward with identica/(f/vk1h v lwx8lp,(,xefr +cpcbf/ ol linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has mass 2M, what is itpr x ,ch+ x1c(ffll,bp/o(f /evv/kw8s maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bounit6qcwuo2;d j8g*j - cces 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 1 second, what would be the time between the sec j682cut-dg;qoci w* jond and third bounce?

  16.21: At 1.94 s after launch, a projectilr dam-nw;n+ 2ae in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was aa-2n ; dnr+wmthe projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. Th eva)7 nw/sp.he collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the gp sn7wv)a h/e.round? Ignore air resistance.

  06.03: Three students were arguing about the hexd,qm0pq9fbjpz(w e55;gp x4ight of a parking garage. One student suggested that to determine the height of the garage, they simply had to drop tennibewz xj(q5 m p,904dq;5xfpgps 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 movin ( mdm73tp9qfld7rt k+g along a straight line. Its initial position is x0 = -5 meters and it is moving away from the oritm mr7ql3f+9pdk d(t7gin 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 b.jijhwvywgftilp20 ;+:e;(fv 9 s rw .y 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 o rv;wse(wih fp 2vf. .tg:y0j+j;il9 wf 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 second lpc0zw2-,w wgp; i 7nruater another rock, twice as massive as the first, is dropped. Ignorg2- ;0ppw,wi zcwr7 nuing air resistance,

  06.18: A cart is initially moving aszaw 43,/6o8zft mlhp t 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeatez8 f6lp ztsw /3,ho4amd 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 (tq ym0a1jjw :do bas2dkg3-3along a track. The cart comes to rest after traveling 1 m. The experioa3j12 q mb:3kygd(wjd-tas0ment 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 with a conuv m(/ak:azy 2stant acceleration a2m:zk/v (uayof 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 height h aq5)kv acrwa b4-*q)ij,gtc7e bove the ground. If the ball falls the first distance 0.5h in a time t, how much time isget wqcjaa4) krc-bi*,)5vq7 required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At time t=0 09s3,zkchma);q9h gib3xo, lqo(pc d ,the objects are at the h3m(c d o;cs,3b,9zopqag)l 9x qh0kisame 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 that traveled by Object 1?

  12.26: An object is thrown horizona mrj2 +js)p,qt)- dhxtally with speed 10.0 m/s from a height H above the ground. The object reacherjx,- +dah 2)q t)jpsms 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 ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The obvr+bfwz utl o.26ak39 ject remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object vl6o.2k9uwfa 3t+zrb as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how many meters does thcd/t.rt+ ye*ptx e6: y3lh325pyu cdje object fall during the first 3.00 seconds ox:y62/3ydu d lce j+.3eh tcyr pt*5ptf flight?

  15.02: A box uniformly slides 7.50 m to rest across a)2l/ tj)mj8rm5 7qb cfle7)u+ wmlknc flat surface in a time of 12.0 s. What was the initial speed of +fjcrtuj7lm )q ))7c8nlemk25lb wm/ the box when it started its slide?

  14.07: Starting from rest, a cart uno eobv*c1 rf;+:jne4miformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart moveo b1c: je4;vferm +no* in this time?

  14.16: A toy car initially moves to the right a218 di *x g17mxbtvpqh *ey2lmt 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 velocity of theh2l11* p2meb iy x8*qtgmdv7x car during the five second motion?

  14.17: A toy car initially moves( u5d5y o* *glld;j(titi8omw to the right at 60.0 cm/s. Five seconds later, the car is;dl(otd t*o*jlg8iwu(55 y mi 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 constant acceleratiooy 7gjv of6/*cbtxu oz1t8i7 8n 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 movingi0 qqu) 0pi*6g7kgoqrcgc a0q 7; qjm7 upward while in free fall. Which one of the following choices best represents the direction of the object’s acceleration durir;m7cgqgio)p 06 i7kcgu j0qa *qq70qng its flight?

  13.26: An object moving only to the right completes *3tw zrl.z0,dni t 2zr-n -tgqa 20.0 second trip in two stages, I and II. The ave*0 zztt. gd 2nt-lr-nziw3r,qrage 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 object have during the 8.0 seconds of stage II?

  15.32: An object moving along a li uokxxqaw (qzq;gg 1x*8rl52 +ne 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 con*aw2l;q r(5+xgxz q x1k uoqg8stant magnitude acceleration directed to the left must the object have during the 8.0 seconds of stage 2?

  13.33: At the top ofpw. g 0u7rm9l x;1vtlt a high 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 furtrwgl.0u tmx9; l v1pt7her 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 5:m q pxxe nxnjr(2 o;b0y7de)d//svxrobot. The robot accelerexeqdx;bp /:o jy72n/5(xds 0 mxv)rnates 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 vertically6l-n5 k e4sa bymoq/fpu(8zv2 upward. The vertical position of the ball 0.70 s afte b(f-l quv/e8zy6m5anks2 op 4r release is the same 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?