94.01: Starting from rest, object 1 falls freely for 4.0 7oeig7f 5(;xlenn d-iseconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, de lo7xn g(i7-f;en5i object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to-: ua2y l1zhcr a final speed of 20.0 m/s in a time of 15.0 s.ly 2zc1: aurh- How far does the car travel during this time?

  94.03: A ball is thrown off agu.:f*l/mf qwjqrjs3k3))c z high cliff with no horizontal velocity. It lands 6.0 u)q gsfqzlwj)k3crj :* .3 /fms later with a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near owgy 8 3e.kih7the surface of the earth is accelerating vertically upward at y 83iwk7g.oh e$10\;m/s^2$. 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 d6tn9) 1tfgs xzownwards at 27 m/s at one instant. If it continues to fall, one second later the object s)t9tgn f1x 6zwould be moving with a downward velocity closest to:

  95.39: A car starts from re bzlkh(fjr*1cy,7mf*st 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 dropped from the top of a building strikm4 dij4g-afon 0*m5ti es the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the buildingm- * 54dfant4i0ig jmo is approximately:

  97.09: At a certain time, an obje0inebrrd: b2 7bvizz (k7b) *wct in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the objb*r0bbvrnb)i7 k7:z wz 2id(e ect one second later?

  98.14: How long must 8x de32; in7vh3e/h a 9zq y*;l0y0ltzbmgrywa $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is found5:02w;gtpas gn, id je to be moving downward at 18 m/s. If it continues to fall, twonajpt5s2 ie wg d;,:g0 seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and fallsa.o 6 d./lelsv ggbr04 freely for 4.00 s until reaching the ground. What was the height above the ground from whichr6 lg4bgvol. ds/a0e. the object was released?

  11.06: A ball of mass =0.100 kg q1;r7g 1wng;q truh +pc:2 tyris 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 represen2g:g1rpctut;+y;7qw1h qr n rts 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 straigh;tbqo g;y.k)ck++wa7 2s swad t upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. kky)qaa+w+o. btss ;gdc27 w;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 has5sl(vw0veoed dz;f- ( speed 0.40 m/s two seconds after it begins to slide. Approximatev0d(-v(5;osz w ldefe ly how far does it travel in three seconds?

  98.40: Coin I is thrown upward fr jusf5l)hcopf.k jl-z5 -,k n(om the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s,j5p 5uk).zn h cff(-jk-l los 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 speeo izupx(v: a/9d of another, how much higher will it v/p(9 iuxza o:be at its apex?

  02.30: A box falls to the ground from a delivery truck travew ,,q;s6ie2pmb7 )v.zofw3ipj vshf 1ling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the bozw h,bow 673ffj)pv1peimi. ss2, ;vqx to come to rest?

  03.29: An object is thrown upwards wit98hvtonr )q2:vx c3mth a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction oft)mq vv3o8c 2htn xr:9 the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown verz+o dd 12ub,1hyfcmu;ctq.dk 6q -yy)tically upward with different velocities (16f -dhqyby2u)ddom+tz; q.1 1ku, cc yv, 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 stra9 o8vheng5c8 iight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has coin88 5v 9gehmass 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 shownlqt)g pj:k6+tcc 0s;q . After each bounce, the ball reaches one-half the height of the bounc tc6k)tqqps: 0ljg+c; e 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 ld ve6yp.l r1zm5c.e 4launch, a projectile in free fall achieved its minimum speed during flight. ycdr4el..1 e 5m6vlzpIf that minimum 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 clifurb3 eb(2hp89f99s cnmj7vd rf. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what 2f bh7s3mju 9c(bnve98rdrp9 speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were argui44,gh-cuor0 r mqk+bfng about the height of a parking garage. One student suggested m0ru4,4fcohq -r +bgkthat 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 was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving xpcx) s3 d+2)fqr 7ih 9zmdoxk-)oso+along a straight line. Its initial position is 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, respec cm-o27 9of )+kis+q)z)x hx3or xpdsdtively, are

  04.38: A small point-like object is pulrv8e1 q4qsoyaks 7c//led downwards by gravity (down the plane of the page) but is constrained to exactly follow each cqq7os /yrvse 8/1ka 4of 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 tall towuy d06ln*l i6ker. Half a second later another rock, twice as massive as the first, is dropped. Ignoring air rlukd6n 0*l6yiesistance,

  06.18: A cart is initially moving at 0c5 q l1r 3bthy2hw g8swy50v/l.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 initiall85q gb rtwvcw /2 0l1hhys3y5ly 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. T7ctd u2angt( *he cart comes to rest after traveling 1 m. The expeg 2ntca7(*td uriment 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 sta15y8hn a qm.box4c8lg t* 4cyraight line with a constant accelerationym8l8*1qx.45b tagohycc a4 n 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 height h r q*u; i gapw4ec,sx8)above the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the es;)qrci* 4xu8,w gp aremaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to tl3j 4+c 7sg7ew *1fzcr 3npzpjhe 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 acceleration of Object 2. After some time T, the velocity of the two objects is the same. What is the ratio of the distance trj1p srnc7zw4pf* j z3g+le37 caveled 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 a hevljb+l26d)sryz + t dgu(2y.ezmu.1aight H above the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of the following choices best repjd+b+ 2ye .mdz(zryu lg 2auv16).sl tresents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upwardmh g(3 pxdqp5zf3i65e. The object remains in free fall until it returns to its initial launchdqgz36fph( exi 5m5p 3 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 how many meters does the ob)c/w s9kkxr6g:b5 w 8o)4z s c/ewnhcfject fall durins:x o n/9rzebw w5c8skkg4ch)/c) 6fwg the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat sur5n gi1 v:p bb3ac:3,dl:heogsface in a time of 12.0 s. What was the initial speed n3eia b::,vhd5:lb1 cpgso g3of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerateshtbj)ow xld x6 4*cafpf67oi uxz0;8 9 to a speed of 7.60 m/s in a time of 3.00 s. Through o;fb4*0xxz) 6oawd7 huf 8tjic9l6pxwhat distance does the cart move in this time?

  14.16: A toy car initially moves to the righpnti.2,ud03hy ch jw-r n)n48zihs 3e t at 60.0 cm/s. Five seconds later, the car is d42jen3-ipn8h,3tu 0sr.yi )czwh n h 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 the car during the five second motion?

  14.17: A toy car initially movppds1jy2ryv :hpbb 6 1nc,g5xr- 2 gc.es to the right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The to cpr b .xvnscp1 rygdg5h-y2jp,61 b:2tal 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 con/4d;ab s6 wuhlm)i-pjjr/pg*stant 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 moving upsy+ah hn,/n; nward while in free fall. Which one of the following choices best;,+nhhsy/na n represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right c -hyg*c:ol7n )kam q-uompletes a 20.0 second trip in two stages, I and II. The agqyhokm a7c ):-n* l-uverage 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 line completes a 2vyo w 7jgbf8u.-b6g9 j0.0 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 du j 8gf 6b-7.wyb9govjirected to the left must the object have during the 8.0 seconds of stage 2?

  13.33: At the top of a higdtck+h95i5y0v h*e v xh cliff, a small rock is dropped from rest. A ball is launche5*x9evyvkd +t hhic0 5d 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 the ball relative to the rock?

  16.36: On a straight road, a self-driving g6hgk0cj uvz6ym 9l o:r9tw 4;1+ xggscar races with a robot. The robot accelerates 40hjymrckw: x9 g+z 1gl ; 9g66uotvsgat $8.50\;m/s^2$ 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 7m gf1anh91rztt,indff hy6lxu n :+n2mv., 0 ball 0.70 s after release is the same as its vertical position 4.10 s after its releasga,hzfrnn2y1xnv0hu7 i1 6d 9mm tlf,:t.fn+ e. At what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?