94.01: Starting from rest, objec*74;*nc s hsknk9wd.y:s mph qt 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compar;cqk:sm9y7p. dw hn4 *khsn*s ed to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final g6j 6gsi2ynx +yif.s j(m4x 4jspeed of 20.0 m/s in a time of 15.0 s. sn24+4 fs6j gmyg.(xjy xi6jiHow far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It lands /wmwe,ktiu z9oc8.o 1 6.0 s later with a velocitz1okim,.owc /e9 uw8ty of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is acce ugxtyf1y2n15j133 ab djjq8 elerating vertically upward atg11jy2 aq8tbdfy53jue3xn 1j $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falliqxwpimw0jo 3r1*yq p8 g-.b7cng body is found 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 agp18 x c3jy- *wwmr.i07bqopq downward velocity closest to:

  95.39: A car starts from rest and accelerates at q en*8ux.pfn+jl;jd56g - fez$0.80\;m/s^2$ 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 ground 2es0s2i h6*pd*zb;ew4e hrp n with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is appe ;z* spihhen4 r0bpd*6w2s e2roximately:

  97.09: At a certain time, an object in free fall has+ vm dcpyg*on r3lsray18. 42yhnh,wr5f42 xc velocity 4.0 m/s in the upwv 4 y43rr21,*o8c2p5wa sgxrnhc fl ym dh+ny.ard direction. What is the approximate velocity of the object one second later?

  98.14: How long must*rtwi 5:q)r*v7 b2ypy+wtjy u 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 downwvs1v 7d)z v*ouk n 0j5as9 yw;dw,)mgkard at 18 m/s. If it continues to fall, two seconds later the object would be moving)wy ) wv0m7 s va;jugk5*dv9ns1,kodz with a speed of

  17.02: A small object is released from rest and falls freely for 4.00 sk.f.37/rpmvpo:cjzlw wcs-) until reaching the ground. What was the height above the grom/w7vwkpczcrs :. f jo.)l3 p-und from which the object was released?

  11.06: A ball of mass =0.100 kg is launched str cv5y4 ptbu2hfp-zg *:aight 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 repz *hpy5:v-g4 pfb2ut cresents 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 straight upward so that igt.tz v tx3/u m4)wc6iwe 3+iot rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does it take the ball to reach the maximum height63t g4xiwiet.oc)v /z+muw 3t from its launch?

  98.31: An object sliding down an inclined plane has speed 0.4erp ty0iewzi8*d;o 84 0 m/s two seconds after it begins to slide. Apprd re epot0;8*z 84iiywoximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the t4 nrwct fkp6(0xt:pa2op 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 sr(nx at4f:0 2 kcwpp6t 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 vk zj 34c*)uf7b 25vvszgmuc.fguw +1directly upwards with twice the initial speed of another, how much higher will it be a k4+ wzf 3m czu g*vvucg1bj2)75vsuf.t its apex?

  02.30: A box falls to the ground from a delivery truck qyz 3sy0qqc/9traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come tos/9qqyqy3 0z c rest?

  03.29: An object is thrown upwards with a vel bvdu0 k)/*qmlajn lly-g52) iea7i 6eocity of 30 m/s near the surface of the earth. After two seconds what would be the directidbea-lnal 5 mekg)0 vj)6quli2/*7yi on of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown ver5j f/4(ijxyo htically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass andx /4oj (fyjh5i 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 ,j 21t9)n 4abtjh02i/rgc+.av m mtz(l cvqfrwith identical 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 its maximum attained height above the launch point in terms ofi2za .+cqt bnfmt9c (j0vj) lgt2vma14,rr/h H ?

  04.28: A rubber ball bounces on the ground as shown. After each bounsyjj n-wcaqo g.uk7j4z 3722dce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the air between the first awqgnjz2yd4 ua7 sk- 7o.3c2jjnd 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 achd/i0ydc (zcak*ne) 6 dqs9d m)ieved its minimum speed during flight. If that minimum speed wa)dd 0mq/d96skn (i)c cdzey a*s 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 qjp 7f.tmolzf6h916 xvertical cliff. The 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 grf7z9fmhtjp 6.16lx oqound? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage. )kc0p:x4 zag7j ftrui(zz / h*One student suggested that to determine the height of the garage, they simply had to drop tennis balls from7zh(z)i 40fk/jga x*zu :t crp 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 is x0 =ua 8w,nf 8/;lv9 htcj6jn fl8s -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initl l;6hn tuw8cjffv9 ,a8nj8s/ ial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwara2)y/o c1oew z w,m* ) 0s*yynnif*mwqds 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 ti qo yy1wm*c)**yamo s0wn)e2znwi/ f,me (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. Haler ai7x.qh8f 6f a second later another rock, twice as massive as the first, is dropped. Ignoring air resir7q xf8ihe 6.astance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comes to reoik qodbxs/. .9xkunv : 95uq3st after traveling 1 m. The experiment is 9: qixsdb5u39.v / kk oqoxu.nrepeated 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 tra6;un)f3ehsnvn ;hv( n ck. 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. H) vnhnun h6 (e;fvs3;now far does the cart travel before coming to rest?

  08.03: A dog starts from rest and runs in a strai8f ifww0i)*la1 x0no sght line with a constant accele0 *)f w xiofas8lw1in0ration 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 heigco5k)k i8dq t.,p yld9ht h above the ground. If the ball falls the first di)dck8lki, q 5.poy9dt stance 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 unifortsoax b;:x g08mly accelerate to the right. At time t=0,the objects are at the same initial position. Ox8sbtxog0 ;:abject 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 horizontally with speed 10.0 m/s from a hk0vsc(y-z3dn qvi f-l w vnp/lz;5q+q8z x0) ieight H above ciyvi sz x/-+-50qvznwl(3 f0q)k lpnv;qz 8dthe 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 ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remail7z1rwv 6wqd8-qhw haz qdn7pi 22-l (ns in free fall until it returns to its initial launch point. Whica8w7 -(whrd q71qin 2dhw6lz z2lp- vqh 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 th6) x).hr;a6cl dmyx wg-fw y:4ofc+x ie object fall during the first 3.00 seconds6c4 ;w) 6h-x)xw.rmyc+gy:o xiflafd of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surf/dh3 ym7ay0gd3 01 b pu*vfqqwace in a time of 12.0 s. What was the initial speed of the box when it started its slidg1u w vyyhq 0qd*f/p033 b7mdae?

  14.07: Starting from rest, a cart uniformly accelerates to a speed qhg9s) u, d.kmof 7.60 m/s in a time of 3.00 s. Through what.gm su kq9),dh distance does the cart move in this time?

  14.16: A toy car initially moves to the5 0uldwtf i*x* right at 60.0 cm/s. Five seconds later, the car is moving at 4 x*dt05 ulwi*f0.0 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 *0wg uz+ak;gea )z 0kz0ha 9kpto 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 is 10.0 cm to the left of where it started. Which one of the h9 gke0z+apa0;kakzg) z 0*wufollowing 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 start)5u6y -gm 7:3ky0wgggi;4gpqq /m ykphn7cxling 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 while in free fallt d,.y ,b ;qsmou9jyk,. Which one of the follooum;9ybytd,.js kq, ,wing choices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 1thq0 srfa8tdq :co l0(8c7gr5qdl +c 20.0 second trip 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 object have during the 8.0 seconds of stage I0sa1qt(8 rhc:gtqqd+5 f0co7ll8rdc I?

  15.32: An object moving along a line completes a 20.0 secon*)ojb )tss )bhd 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 durin*sb)))h t jsobg the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from rest. A b*bht )+oksscg 414sodall is launched s*o g oksc)b 1+44htdsstraight 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 sel vi q4vb-s)k;mf-driving car races with a robot. The robot acceleratq;iv )v b-4kmses 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 vt *x kq qj.zwytl6wz547+skbrb;i/0 position of the ball 0.70 s after 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 thlj 7rks q;wbtxq.60 t/b+4iz vwy5k*z e maximum height it obtains during its flight?