94.01: Starting from rest, object q(zfm fr4ht6.8vi r1k1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Cfr(4f8t m.rzh6iq1v k ompared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed of tl:7gnhq( /v f20.0 m/s in a t qgn:7vf(htl /ime 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 velocity. It ll0y)tqd51ybfire) 3wands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of the baqd1bifl05y)3te)r y wll?

  95.27: A rocket near the surface of the earth is accelerating ver wk/:o+x x8rq:nx ny9ntically upward a+x:wkn ony8:x9 /n xqrt $10\;m/s^2$. 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 m9 ebku6oljjp9-c6-8w w /sk bkoving downwards at 27 m/s at one instant. If it continues eb9-- jw b6w8p6kskjl k uo/c9to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest u0g q c +9wnqt+,*4amuexwuacw q9c) 1x*6 bcsand 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 strikes the grounus2t0*geb c4zd with a speed of 30 m/s.gb 4ze*tcs2u 0 Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free )k* y:4 y bqtecqrhmg.ls((o9fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one s e9 y4br:(s*.g)cqy ht(mk lqoecond later?

  98.14: How long must z30.wt upee*x 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 obqduy f+)z7 y2uject is found to be moving downward at 18 m/s. If it continues to fall, two seconds y2d)fu7quz + ylater the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely fji*esx ppazoa( dpy 0b518i)) 58 slafor 4.00 s until reaching the ground. What was the height above the ground from which th 8oa)1( xi pi)5d8zjpb0ys5e as*lfpae object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so that uc-v+ipz( c7jit 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 the bal i+z(u7vc pc-jl?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =)h as.6 f6 p(skl8 ni1ojnqqk.0.100 kg is launched straight upward so that it rises to a maximum height of 12.0 m above6 fjpl8)hs1qn.o 6kqi sak(n. the 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 down an inclinqrzgrof,1 1,951dogc 4a hcbhed plane has speed 0.40 m/s two seconds after it begins tdf r11, cr4c,1g95qhzgh booao 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 w/q 91ya fnv0glith a speed of 15 m/s. Coin II is dropped (zero initial spee /qayg lv1nf90d) 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 upwards with twice the i8 ishge8*s r7 wc4y9mznitial speed of anot7 segzcmi*y49wh 8s8 rher, how much higher will it be at its apex?

  02.30: A box falls to the gtffd k7*m)ji jzf7 7/vround from a delivery truck traveling at 30 m/s. After hitting t7/ f7d7mkf *tijjfz v)he 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 30 m/s ne cdm0s 3zaim5)ar the surface of the earth. After two seconds what would be the direction of the displacement, vea)smmdci 50 3zlocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thr9tbbb.vssiq b (2 1ptbp7k51oown vertically upward with different velocities (1v, 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 resistanv1pbk ispq 7 9.(b25osb1tbbt ce is negligible.

  10.25: Two point objects are launched straight upward with identical laus+i(eelx3 syws a 1.5w4ec3inear 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 of H sxas31a +y ws ieel5.(w3uec4?

  04.28: A rubber ball bounces on the ground as shown. After each bm k(wjl: g8/l;dw1rmqd+v;kxounce, 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 betwx+m1 dkw;qm g(d vl;l k/j:w8reen the second and third bounce?

  16.21: At 1.94 s after launch, a projece 1r g4+g5eb5tyd*adill ek04tile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s eilk0d 41bd el t5a+ 5ygreg*4initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a hijbniq3 bo; m1* di;a.ysle(9pzb5 w8dgh vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after thjid3b pw ;.5 ;ia9(*8 omsdlbeqy1n bze pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parki38e rl2rb9hyr ng garage. One student suggested that to determine the height of the garage, they simply had to drop tennis balls from the top and tih r r283erybl9me 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 l803gv6 ym qt*e 2tmeloine. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs*qe ymmleo0 6v2tg8t3 of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down the planv frl o2 cobzo-gk33;(0 mj*eje 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. Assef;v2bo g( kcmjoj 0lo-3z 3r*ume 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 sec(g6nc5* ( bzfslntp n*;rq q5kond later another rock, twice as massive as the first, is dropped. Ignoring air resistan* zqc*(l psnn;rf gqn(t kb556ce,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comes to rzu g3hpz9:f8q1,z gsay-c b 8uest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially movin8q8 ,uf9gy :apbz1guhs3- zczg 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 6mgadr-uy2 n. track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially moving6 - dyng.rma2u at 1 m/s. How far does the cart travel before coming to rest?

  08.03: A dog starts from rest and runs in ybjx8z29 wl0 ca straight line with a constant acceleratioj9blwyzx 8 02cn 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 .hbk jk fsr3s68iu.ky1 7(k iyair resistance from a height h above the ground. If the ball falls the first distance 0.5h in ufyjh y..3ib7k(iks861rs k ka time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accel:b4h9pdjql: hrw w;o;y.kev 8 erate to the 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 vqd.;kre ;oybphj 8:lw :49 hwT, 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 hr/uh-.zm: umem 4q;s neight 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 rse;: m/q m uzh4n.-muto the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The objec:;a1 xkz 2en( qdxwf2sur:y 3xt remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity w ;s ::y2dur e3a2nxf1qkz(x xof the object as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how m 9h ;auo1ouk 0bed7c/fany meters does the object fall du9fhduuoce/ao10 7b k; ring the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 11dhjtxunwhu-5+c3q .y1j yz m to rest across a flat surface in a time of 12.0 s. What was the init15uwtz3c.j 1uny qh+d xjh-y1 ial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 m/s i )yrq3qneey6.mf *r) pn a time of 3.00 s. Through what distance does the cart move qreye*.fq)mr n3py6 )in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Fiveu, xe0pp(e bi;)ad-hc 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 f( ead; ),-ixc p0euhbpollowing 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. (t gd5 aw,g/foji;u5dFive seconds later, the car is moving at 40.0 cm/s to the left. The total displacement of the car during this i j d;u, dag/fogw5(5ttime 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 jxhrj f0e1p 9*with constant 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 p 8sn7 1 fz;ys4xk-gekis moving upward while in free fall. Which one of the following c;npxykks4szg7- f 1 e8hoices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right complebkjw dxhs 0z w+6:eyd/;gp2 wg2nk)*z;clo9qtes 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 must the object have during the 8.02hxc)/d 9ld z6bwysqgk zepo jg;w *;wnk+:20 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 second tri8n,vjdse / j0pp 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/se n vsp,8jj0d/ 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 dropp o1ig7tvxysu )8lx9hndf )fy+3 -a fng/3; ekred 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 28.97fytxn8k l )uoxif ag3+r dgv; 1ynse- h)3f/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 se)ksccm5 hwsih 31/(bolf-driving car races with a robot. The robot acceleratesks/o 1m35is (wbh hcc) 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 position of the b5w6x3o0ome o7u p:rldall 0.70 s after release is the same as its vertical position 4.10 s after its release. At what time is the oooru6o x 5p0mdw:3e7l bject first at a vertical position that is one-half of the maximum height it obtains during its flight?