94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and object 2 5qmecd.0oopu c)y/48kjjt z) falls freely for/qc4pymd j5j z) uo8)o0ce.kt 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed ly .u, c7ype bi og6ao,qn894rluh4*gof 20.0 m/s in a time of 15.0 s. How far does the car traveln76o 4rgi lyu8*c9hol4ay.gq, pe ,bu during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It la-xgw ;kp utm(,:r;wxytsh*bp2v ;7ytnds 6.0 s later with a velocity of 40 m: g2;;(;xkyvwwy* trut bp tms,px7-h/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is acceleraxih )xb3 /ol7dting vertically upward ax/xi3h7 b)d olt $10\;m/s^2$. 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 downwards4+5ekd0mikkyql /0m3s/ ffl b at 27 m/s at one instant. If it continues to fall, one second yklk+sdf/e0f4q/mimb lk50 3 later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accelera,l+kb ac ogb;2l7g:kptes 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 tr4c/d (fo rvee-k+1sbp 11fewop of a building strikes the ground with a speed o1ko f1(+wr crve defbpe41-s/ f 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has veloe4noev zsx 3 6s174 y/sz7qibacity 4.0 m/s in the upward direction. What is the approximate velocity of the object4zn /7osz 36x7ei a4by qvss1e one second later?

  98.14: How long must ae.y i-ot(rx3m $2.5\;m/s^2$ 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 ia3cyr45fodc/h9x3g( 0 fpgllx 8..tnoeqk /yt continues to fall, two seconds later the object would be moving with .ho4/ / ffnyl x kgyl3c5 d q0cpre.9(t3xgao8a speed of

  17.02: A small object is released from rest and f 7.m-w5b xncyualls freely for 4.00 s until reaching the ground. What was the height above the ground from which the object was rele xy5.m7-bcwnuased?

  11.06: A ball of mass =0.100 kg is launched straight u*pqgesab 6g*v-2eq m6wx3m) li,rcm9 pward 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 represents the magnitude of the net force acting on thqb- 6v2gg 9iecsa3* )*x rmm6wp ,qelme ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.100 kg is launched straight upward so that u1*,3q-qrbir-6j* sedbmc k9h57 uy zrdf0ldit rises to a maximum height of 12.0 m above th qbdy7,01-iu frs bzrm6ldj dc9*5qh3er*uk-e 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 downnnx2u q.r 4oo/bp9m;d an inclined plane has speed 0.40 m/s two seconds after nxruodb24n q/p.;om9 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 speed of1 :c/a j fyg6(c57 2:jqisog7mbx yaft 15 m/s. Coin II is dropped (zero initial speed) from 2(b xsifogtjm1ycg q77y5ajcfa:6/ :the top of the tower 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 qab5ar(62syx0 x.rr dinitial speed of another,6dx asryq0(52r xa rb. how much higher will it be at its apex?

  02.30: A box falls to yf b2;hyw 3dgucke./9the ground from a delivery truck traveling at 30 m/s. After hitting the road, /2y. ;uwkbd 9chygf3e 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 velocity of 30 m/s near the surfacemoqeq b)*p.e pv91k-)ip )dpw of d)p-q19bp)eoq* mie).vkwpp the earth. After 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 verticav , 7dojmyi srw,6 cwa358mla)lly upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each st aw) siml,yr ,djc6ov7m835awone. Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straighq;fn*2jt :hj wt upward with identical linear momentum. ;h2*:wt nfq jjObject 1 has mass M and reaches a maximum 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 on the ground as 2( jgrmld0 ad-)yp;us shown. After each bounce, the ball reaches one-half the height of thel2d(mp g; -)yr dj0aus 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 ftpe6i 5) djm6free fall achieved its minimum speed during flight. Ift p 6)e56dimjf 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 va sc 4a7/o8bpiertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds ab 8pi47ao/a csfter the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height su-.5tj 8o(xyc tbl )uof 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 time for the ball to fall was 1.4 seconds, approximately how tall is ttx.o(8ub5uc-s jt ) ylhe parking garage?

  05.07: A snail is moving 3dzdnu c eip,(sss176along a straight line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. cp(d1n6id,eus3z s7 s 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 (down the pl)xt n(daxet /)ane 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 changing direction that /x)tat(dn )exthere is no loss of energy and that it takes negligible time.

  06.13: A rock is dropped from the top of a tall tower. H no2h n3thotwg: 1d+omi)z6w9alf a second later another rock, twi:h+m zgno)1w ot 9nt 2d3w6hioce as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initb 5.kbh;v zyhx pl46lwc r-7n)ially moving at 0.5 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 initially moving at 1 m/s. How far does the cart travel before cominw .6bkc;-7r4) hx n zbphvyl5lg to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. The b3;ct5 kn(main7 l4 rlf0cv:ncart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the ca:05c4 7lrb 3lvfnn;tn k cim(art 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 x a1g r hfc8xn30e..tgt 94u7wiwa.kha constant accelegx0 18wurt.gf.a t. n 7ikh9eh34xa wcration 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 resistm(t3-8t a) zh,i y2bpo/pwyyoance from a height h above the ground. If the ball falls the f) ,2yztyy 3app /bowo -mth8(iirst 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 move and uniformly accelerate to the right. At time t(c)*. nx sn)lj c7h aanv7mw)r=0,the objects are at the same initial position. Object 1 has ilc hmn*n.( a7vna) w)7r)cxsjnitial 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 horizontally with speed 10.0 m/s fraoh 8i0nqnhjd+c,n n2x89u5iom 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 thnn2,ix8 d i+cjhnh 8q9uan05oe time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upwag,jc-;h3(ha0 k(ubl c ; hzmchrd. The object remains in free fall until it returns to its initial launch point. Which one of the following ghch(m h( ;c ;l3-zchg,0ja kburaphs could represent the velocity of the object as a function of time during its flight?

  14.03: An object is d)k vkw4, wrs2n (7whznropped into free fall. Through how many meters does the object fall during the first 3.00 seconds of fligh n4 (zhkk),ww72wrsv nt?

  15.02: A box uniformly slides 7.50 m to rest acrosp, m9i,k6alq ;rxl otn,c tr22s a flat surface in a time of 12.0 s. What was the inmx,,tak rpqc2n;9illo2, 6t ritial speed of the box when it started its slide?

  14.07: Starting from res0ahopbi w w(;d-,vg1:)dkeuv/zkxsiu31 3 vd t, a cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance dduzp av,i0d ik)dsv1g ub3(wok3 w;x-:1vh e/oes the cart move in this time?

  14.16: A toy car initi ss0yg net5,)fally moves to the right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s toef gs)sn 05ty, 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. F:xzt ,-5 ryvj mu/;pxjive 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 accelera/yu;xp-jv: jt 5zx,rmtion of the car during the five second motion?

  14.33: An object moves with constant c8e +y lu40.oik1csfe 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 upward ws dms/dqoyf;s36 u (54swh:qjhile in free fall. Which one of the following choices best represents the direction of the object’s acceleration during its flight? hw4dss6;qyo/s sf3d( :5m uq j

  13.26: An object moving only to the right completes a 20.0 second trip/ekq kwbguilx9p- s8+( cj fjk0dw918 in two stas 8-jwdk+kxgfubi/0e8p1 kl (9wq9cjges, 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 object have during the 8.0 seconds of stage II?

  15.32: An object moving along a lip 3sp5 )mhtlwvzzmr9oo/7 z0, up)9q hne 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 th3przoh wl p)/9thzv u) zmq,5ms 07p9oe 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*k( rt j5nk4rk high cliff, a small rock is dropped from rest. A ball is launched straight downwar(kkt r5 nr*kj4d 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 car races with awlrh)d.as+ * ,w-zrnn0hr lm: robot. The robot accelera*:mzh-wr al,.+0 n)n rdshl rwtes 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 vertica xbfo6/s,g0x l 8mj3unl position of the ball 0.70 s after release is the s/0,jngb f o3l8usx mx6ame 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?