94.01: Starting from rest, object 1 falls freely for 4.0 seconds, .:spnk(+- )ww x b5mnmhj-jeb and object 2 falls frbwe(-hns mn. )xk5+:-jmpwj beely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed of 20.0 k2 or)viy8 nd:8tlb0f m/s in a timl8ny k)ob8 it frv0d:2e of 15.0 s. How far does the car travel during this time?

  94.03: A ball is throj-fr+2fv h)p a usnf2;wn off a high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initjhr; +fs2ap-2nu v)f fial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically(rt t q027j k*(jtogol upward at jt(j 2rg7kl 0qot*(to$10\;m/s^2$. 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 movin zpodhwb+ t* h4k6ij61g downwards at 27 m/s at one instant. If it continues to fall, one second 1oi w+hhpk6 *j6d4 tbzlater the object would be moving with a downward velocity closest to:

  95.39: A car starts from bpx9s n8 0y6r ,)xgscdpd8wh4 c/zds -rest 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 *g2t( mnf4b ,2ct(b: rdavp tzdropped from the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ign v(dpt(m r*t2,c2bfnt:4 zabgored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has velocity 4.0 m/s in th9o)o ;5kdh8k35dcic v f3iuzee upward direction. What i35v 3ickdo zdk;ue)o9f 8 h5cis the approximate velocity of the object one second later?

  98.14: How long must8 ;qf37(j:go6xuk tl1u i7ehwsp(pyj 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 downward a.u1za erohe z9g8rcx ; 7ziz q)db14qqyj9*r 0t 18 m/s. If it continues to fall, two seconds later h9 z x zzgi)uj c7 ;e9aoeqb84q1*rq1 yz.rdr0the object would be moving with a speed of

  17.02: A small object is released from rest and falls freelqxlakt 8mpt x9;i9. j.y for 4.00 s until reaching the ground. What was the he9t.p m .k8xt9x ;qjaliight above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so tf-8 36pglc hpjhat 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 p3jhl8 g-cf6pthe magnitude of the net force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.1zdk gs6m9 zvg)h2+ 7xh00 kg is launched straight upward so that it 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 he d2g+7xgzkhhm6z) sv9ight from its launch?

  98.31: An object slid l(nxqj4 ;,ic wt46pofing down an inclined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in three l c;pnf, tj4x6o(iq4wseconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a speed y6 t91l.x l(w5zt (an1lfyu krof 15 m/s. Coin II is dropped (zero initial speed) from the top of the tow(yl rt. ka u l5x1(w6yzlt9fn1er 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 e0c.ghjaa /. rdp*f4v the initial speed of another, howgr.hcaa.d/fe pj*0 v4 much higher will it be at its apex?

  02.30: A box falls to the ground f8yl b hhu7vuykk4 2w7+rom a delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come tok8 7wh 2luby74+khyuv rest?

  03.29: An object is thrown upwards with a veloc6crn5*xy iko2 ity of 30 m/s near the surface of the earth. After two seconds what would be the direction *6o2 xncki5ry of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m&mw-cr rsk l+/b;.yw9ecqcn 4) 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Ra;9c+rk4m/lwcs. ne-brc)ywq nk 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 lin:u,4gr 9ue fcq h8/oliear 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 aboe9o fq u,r/4culi:h8gve the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. After lni0zyh btl/as q:+7 /each bounce, the ball reaches one-half the height of the bounce before it. If the time thz 07say hiqtb:/+ /lnle 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 afterwsi3r ax:l/5 ;a.blggivq2 p8 launch, a projectile in free 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 horvx3il gi ;2gpwa.s8 aq:r/ 5lbizontal?

  05.02: A pebble is dropped from a high vertical cli qgow,+vsg3vt5 +rti9,9 o rfaff. 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 ai+go5rog+ , t39rf,s iwtvavq9r resistance.

  06.03: Three students were arguing about the height2*vtc*z,nm w c of 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 v, 2zwm cn*tc*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 = -5uf kz1zx1*8nj meters and it is moving aw 18jukz1z nfx*ay 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 pu-natn; zpq4w 3lled downwards 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 time (T) necessary for the object to be releasedzwq;napn -34t 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 drops bii 4x9o9u*jped from the top of a tall tower. Half a second later another rock, twice as massive as the first, is driub i o9*s49xjopped. Ignoring air resistance,

  06.18: A cart is initially movinf8;1mlu fmb8y pz1b. ig 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 cobb p yui1zf1 8.lm;fm8ming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. The cart co id, 26h7yyf/2)c6sl pqffk gymes 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 be ,ys6672ffpfy/)yc 2hlgkq di fore coming to rest?

  08.03: A dog starts from rest wwt 4.6+0 t4f prftrqosgd9s2 and runs in a straight line with a constant acceleration of+to9 s0dqfrr. ttsp46wfgw 24 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 :n,(t5 f ey/;0i2hcfoqedcye resistance from a height h above the grohn(t 52 ,c0oc;y:f /yfdeqeeiund. If the ball falls 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 ad; ha4)i g 8j5we+f3gui7gln tccelerate to the right. At time t=0,the objects are at the same initial position. Object n 43fuigw;gtg85 i7ja l +deh)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 witha-:2 1i ywxvo19e1ts m9ow ilv speed 10.0 m/s from a height H above the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of th- io12tix9awelmwv os :1yv19e following choices best represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thr+pq5ek.26w .cazqe v+i0nbkn jo90ea own straight upward. The object remains in free fall until it returns to its initial l+5a+nk0o.0zbp n 6ei9c.v2qkeaw eqj aunch 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 droppcbr go)s)w0z9wy g4 )led into free fall. Through how many meters does the object fall during the first 3.00 sec0 w94s)b)yrcwggo) zlonds of flight?

  15.02: A box uniformly slm 8 twe i/:pldye5g7s-ides 7.50 m to rest across a flat surface in a time of 12.0 s. What was the initial y/tmwg de5 l-i8e s7p:speed of the box when it started its slide?

  14.07: Starting from rest, a cart unifb* j z33(cicqoormly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Throbzc i3jq( c3*ough what distance does the cart move in this time?

  14.16: A toy car initially move60ir+me*osxx kt noz4vi9-d/ l-eo d cf:2/nts to the right at 60.0 cm/s. Five seconds later, the car is mo/exf-0dk 6 n-:z2tdor9iit4/ m+se* ocloxvnving 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 moves to the right at 60.0 cm/s. Five seconds latep*- yca* h+amrr, the car is moving at 40.0 cm/s to the left. The total displacement of the car during ayrm*-ac+*h p 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 constant acceleration sta7upapiv1e2(a*.p/(x ibmbfle1 .qh bd+a b8 yrting 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 f etef qhz go(;2x416xupward while in free fall. Which one of the following choices best represents thqo fe6fx4gtz2h(e ;1xe direction of the object’s acceleration during its flight?

  13.26: An object moving o+ h7vht4hp w5rnly 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 ptw 4+hrvh5h7 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 20.0 se,ttxeqb t3*8x1 2hlbj x(i0nd +ac: *hnwk6j scond trip with an average speed of 10.0 m/s in two stages. During stage 1, th+xc **1nx2 ik js wt h6b0tjq xdt,8ah:n3(bele 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 highotrp/61rbe zh i/xgpv ;. xw:) cliff, a small rock is dropped 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 28.0 m further than the initially dropped rock, wha;6r1.:pvb/rxt px)oigew hz /t is the speed of the ball relative to the rock?

  16.36: On a straight road, a self-drivingpx v3yr)(dw) bnw+4z*l4 d3d p1fatol car races with a robot. The robot acce4l)db(+p)f ond4yvzawwl3*pd t 3x1 r 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 vertical position8un;jjb3abid6 sx 7,g 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 verti6xu 7;bjn,b8 3gjad iscal position that is one-half of the maximum height it obtains during its flight?