94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and objec phsmz58.sivwo/s) 6 f z,hen.t 2 falls freel8nzwio pz/ef.) s5 sh,. mshv6y for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly acceler * be(sp ehmxp4n,e)q-ai3se3ates to a final speed of 20.0 m/s in a time e*i43 a-m) nph3 be,s(sxpeeqof 15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a tw4+ f :y9rr:s;mmpwmvcn (y+high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocitv; :y mn9 rt+:mc+yswfpr(w4my of the ball?

  95.27: A rocket near the surface of the earth0p k7hvf9 3lgh is accelerating vertically upward at pl0gfvh3k h9 7$10\;m/s^2$. 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 downward hmw mea2u7x8krg;i e( hmlbt+u8:1u 2s at 27 m/s at one instant. If it continues to fall, one second later the object would be movingu u2l7;b (:2 gt1iamxkrw hm8u+e8hme with a downward velocity closest to:

  95.39: A car starts from rest and accelerateswo/)z+ j8 ssepq .wx)c3er zl6 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 w6wou gq5zm2+pz.vy o+39wcc from the top of a building strikes the ground with a speed of 35 v c 2ouq.zoc6+ 3m9zwwg+wpy0 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an objlm q;+78ffwdb/ ckzx6ect in free fall has velocity 4.0 m/s in the upward direction. What is the approxima68xf dm+;bk wqcz7/flte velocity of the object one second later?

  98.14: How long musti296vft*xxn,wv90a+ew b1 az pd7m ri 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 i3jh(bhviic 2d6gh(6uzba2 y7 s found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object would be mob36y7z(62 hvi hjdcu2ba ( ghiving with a speed of

  17.02: A small object is released from re t9hpg292.k rtpuoa9slju:8wv.l-r l st and falls freely for 4.00 s until reaching the ground. What was the height above the ground from which as9pl9 p okjuut w2.vl:9.8rr t2 -hlgthe object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward s5drx .xqrg(,bn5i17e -weei 5usa; ryo 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, whi(d ube;.ewgx r 75nirq r1a-e5xi, ys5ch one of 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 isyq-6)p* +if,jfp r,r .stwmzj launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximijfwt qr s-p pr)6,.jf zmy*,+ately 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 hpt5dw;:m tnp ,8kzu +das speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in;d dntk8+pz:5pwt,m u three seconds?

  98.40: Coin I is thrown upward from the top of a 10-+bsj0d)+f 9.ru5fnww:k 6add w ayjz0-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed)0-zyd 5ffk.6wsj+ arbdaw:wujn+9 d ) from 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 upwa55ce d. .rcesb(cxg g1rds with twice the initial speed of another, how much higher will it be eerdggs5cx. 5cc.(1bat its apex?

  02.30: A box falls to the ground from a delivery truck travelin haogf,703db/0t pe gtg at 30 m/s. After h tfop tdh7eg3a/0 b0,gitting the road, 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 30fve* lbyh nzg 4+09je+t +1jdl m/s near the surface of the earth. After two seconds what would be the direction of the dil 1*+z+ldhv0n t+9ejebj fg4ysplacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m,qp: xth -5 v2xorpd-8p 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rano-p2v q5dhr8x-t:pp xk 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 identical linear mowgz4 -m.6jo9r/ u : cw3uvwdhgv7e+fpmentum. Object 1 has mass M and reaches a maximum height H above the launch point. If obje +d4 3w6jwhfc:-rvw op7/9 vugugezm.ct 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 shown. Afte -lx, h3*hg9ui)gal k7fs( zixw7mk 0pr 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 bpmak 7skg9)0hz3 lwu-*f i(xl, xih g7e the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in fr 0mo;:nz ;q4efo,r vtfee fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the horiq fo;f;0zvr4e,tm on: zontal?

  05.02: A pebble is dropped from a high vertical cliff.qu +padp 9c)cnw3 l;o5xde2 +q 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 ground? Ignore air resistancec 3ddn;aue q)+ lqwpp59+x2c o.

  06.03: Three students were arguing about the height of a parkinrgrlo h +ohs*+cxzq; :q(0 :l)mfz. zgg garage. One student suggeste)xolo.r:*+hr0 qc m( :zzf;qg+z sglhd 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 the parking garage?

  05.07: A snail is moving along a straight line. Its initial c h0(il-dqg(j position is x0 = -5 meters and it is moving alcq0(di- g(j hway 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 object is pulled downwards by mv : ;k)xbgd puip3qi9des3* 8.g rbf3gravity (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 vd :3.3qkg8mu*fppx );9 r3b i egdsibthe 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 later anotp)7n.no(5aa*q0e rey ot,qf pher rock, twice as massive as the first, is dropped. fpp*e,ont7aroq( a5n q.0y)e Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. epj :5ogcpq sz *i*.:tv3q(jkThe 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 do*j o35zej(gki*qp.cst : q:vpes the cart travel before coming to rest?

  07.11: A cart is initially me79y10z jn0kp4o1b a ful0obwoving 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 comi40w0 e b z7kba9ul0 pny1o1fojng to rest?

  08.03: A dog starts from rest and runs in a straight line with a con 6)qvf6i;)4wv -8lsqz sxx fjkstant acceleratiqx )l;izfjv w86 4 q)fsx6kv-son 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 i1bvbdcm 2 6nx)j/z c,lsa ylqg8( r5(a height h above the ground. If the ball falls c2dvi(y 1q,cbs bxaln5/z)r6mj 8lg(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 move and uniformly accelerate to the right.t +nl,grn 2*s 4:y/liro aij.k At time t=0,the objects are at the same initial position. Object 1 has initial speed twiceijgy2 *ar,+lon/4 .lsn:rt ik 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 h .,ipvd ha9.qdeight 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 to the ground? Ignore air resistancea9.qh d.vd,pi .

  13.10: An object is thrown straight upznmx/sk r i /6-bqa0*nward. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the objec0szb//m k *xqi-ran6nt as a function of time during its flight?

  14.03: An object is dropped into free fall. Through hox(e 3rc:mc --qukegf oq**t+mw many meters does the object fall during the firstc mkcqu3( e -o+xtr*em :gfq-* 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flwzhx2vj9g v84w1. 3k5ci4dkaudmz h0 at surface in a time of 12.0 s. What was the initial speed of the box when it started it wikh3z190mza v 24j84 c g5dvhx.dukws slide?

  14.07: Starting from rest,a7t n h-y)n ,is79h.xk / nd9sxma8wit a cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does)9dk- , w sxy9nhxa/t i7ima. sn78tnh the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five secony i:nb-e .q + vz6klj;gecc6d4ds later, the car is moving at 40.0 cm/s to -qcc.+: i6lgjv 64ybe nedk;z 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 ini8js9m:sa,xk3xmf z2 htially moves to 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 thez sh9a,xkjms2: m xf83 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 acceleration starting with velocoff+a*ncvi3)0z-bu y ity $v_0 = 5.00\;m/s$ 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 wyqw -p6n2y3wl0w/sn fall. Which one of the following choices best represents the direction of the object’s acceleration during -ps0yw wlw n w/n3qy26its flight?

  13.26: An object movqe80 vyp wcgfdv+*-z 7ing only to the right completes a 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 cgvvwf0 p -y+7edz8q* must the object have during the 8.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 second of fir3gx8no0cpu819 trip with an average 0 89 rufxocg8fopn1i3 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 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 ballix4*a+l u766z z9xon dscj7h yg,cd6o(,d iqp is launched straiyzi+6jcz x d, sdchd(l 6q79in64goa,u pxo7*ght 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 selftm +ys; zpg+(c-driving car races with a robot. The robot accez+m+ c(ys gtp;lerates 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 vertxdl0qjaw6e3 xd2+*q.b kl c2wjyv36oical position of the ball 0.70 s after release is the same as its vertical position 4.10 s q2a 2wd+jdcl 6qeyklx.w bj3360*vxoafter 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?