94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and obje 6mkanvez*cf -7i-.a kct 2 falls freely for 8.0 seconds. C7n*6a-iekf acm v- z.kompared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to (m0ue9izl xdl1p0d4e a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during this time?u lz(9le 01pdxe 4mid0

  94.03: A ball is thrown off a high cliff with no horizontal vei5 5ah/9v 3(a pxnltbplocity. It lands 6.0 s later with a velocity of 40 m/s. What was the init 95(p/ia5tbl3vpxhan ial velocity of the ball?

  95.27: A rocket near the surface +xz. is l19xeiof the earth is accelerating vertically upward atii e1.xlsz +9x $10\;m/s^2$. 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 downwards at 27 m/s at one :n ucq; f5ym10) go9r jb6vxlbinstant. If it continues to fall, one second lau:;qb19o mj5nrfb6cyv l0)gxter the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accele 2i*li8msua;o3r-q/ mu f9gnt*,ykmcrates 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)t4n vqxjk* *++cbdze ground with a speez q+tcedk* bvn +)*xj4d of 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 velocity 4.0 m/s in the u sqhw* epd ;e**tycp b/thj5.5pward direction. What is ye*p 5sep5 h*jbh/ttw* ;dqc. the approximate velocity of the object one second later?

  98.14: How long must aa csf9p(.at:ch) -wbs $2.5\;m/s^2$ 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 downward2yhcuca6dn)* q7te6i 5w u;hu at 18 m/s. If it continues to fall, two seconds later the object would be moving with a speedu5 e7ncitcdwyqh;ah66u *2) u of

  17.02: A small object is released from rest and falls freely for 4.00 s ,7jjxwlx( f*huntil reaching the ground. What was the height above the ground from which the o(h w,j xxf*7ljbject was released?

  11.06: A ball of mass =0.100 kg is lau o bnmrn2i5oo*1l5 .honched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. 2l5b.onooi 5hn*o1mr When the ball reaches its maximum height, which 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 massae,rbz)12v b u =0.100 kg is launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Appr2 a,u1brv)b ezoximately 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 has speefmy,;x+4qx bg d 0.40 m/s two seconds after it begins to slide. Approximatelyb; qm4,+ xygfx how far does it travel in three seconds?

  98.40: Coin I is thrown upward from thef-*dqs;xqsa6x/t 6gxy6 a tz*r 5wxy: top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from yy-sx/t66zxa agx*qrx*td: 6 5sf;qwthe 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 inif4r,(ps- aoj+rpo 2auk:zk+v tial speed of another, how much higher willr sakpk+ uo(pz:a4ovr,2j f-+ it be at its apex?

  02.30: A box falls to (qf* kixh78 rdthe ground from a delivery truck traveling at 30 m/s. After hitting the road, it di7*q(f8rh xk slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is 19s z c/s19o(j5nt 2kf*bjx o;yol(aea u8ojathrown upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity an1j a9sx(51e9tn b koafloc 2u(s o*/jj ayo;z8d acceleration?
displacement velocity acceleration

  04.10: Three stones of different massyk; q/g6 towqld z:k9* (1m, 2m& 3m) are thrown 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 w9o:6klzy;*gd k qtq/ of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launc/v gj0m20 fyhcd+4s 9uyuem.q hed straight upward with 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 heightg9su0my jvc+ 4/.mqh yd0ufe2 above the launch point in terms of H ?

  04.28: A rubber ball bounces on theih3pxp(w4s g ;g)bg; m ground as shown. After each bounce, the ball reaches one-half the height of the bounce before it. If the timx)34;i gwppgmg (hb;se 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 l2-d / a*u.twjd1smx raaunch, 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 fromt .xw1a- mjd s/*ruad2 the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. Thekf6,bay /t mo+s l1-pt collision of the pebble with the ground below is seen 1.50 seconds afte6-1abm +,lt fytosk/pr the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the heighiz3n 1b z9ibe*rb -j e.sctv+2t 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 fall of the tennis balls. If the time for the ball to fall was 1.4 seconds, approximately how tall is the parking garager.2b n+v3j1etbzci -iz9s *eb?

  05.07: A snail is moving along a straight line. Its initial position is x0 = -vc(9:xwel,w e 5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, e,cw: x(evw9l initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravc*;khtmx1c 4 gity (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 released from rest at poin;m hk4ctx*1gc t 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 talv+p vwsbb-yoynda+ fdhkd 9 190dk+8,l tower. Half a second later another rock, twic f o9b, n vdw+vysh80dkdy+bp1k-9a+de as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is init ouzv:yz1a+. nially moving at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The e+ v.zy1anoz:u xperiment is repeated 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 initiallyyysmf: 67ivn4 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. Hm:yiys 47v6f now far does the cart travel before coming to rest?

  08.03: A dog starts from hddylh6 7l 9fp3ks0)v rest and runs in a straight line with a constant acceleration p39 vkhh7dy06s) lfdl 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 0 ktwe9-: 0wsgtkb)fm (zgb c8from a height h above the ground. If the ball falls the firsw-ggke80tbmzbw9 c(:f0st) kt 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 accel m fb2vm/*u1hy8rwuga0fp 72y1n3xzeerate to the right. At time t=0,the ou*1pv1um x3ermn/hgz8ff7 22w y ba0 ybjects 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 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 h*fj 5) (cqy:m+,p ghdxrbu f0a1t 2tpdorizontally with 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 the following choices ) 2jyb,1a0*5gfxdt:q+ur( pftm hp cdbest represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in freew0e ixpc*opsbl/+whlzx/w2 l m(3,u) fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object as a function of sxb oll il)p//zp2hmc 3 0u*w,wx(+ewtime during its flight?

  14.03: An object is dropped in9x5 vz6;lf+ g,nzsxfito free fall. Through how many meters does the object fall during the first 3.00 seconds of flightxf9v6l fx 5niz ;g,s+z?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a tin 7ld qerl/zzvxexmbo )+0,c2gb (a 6*me of 12.0 s. What was the b+exdx0zl)b ra/om g *6 (z2el ,ncvq7initial 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 tmmj/.. xeqs in a time of 3.00 s. Through what distance does the caexmsj t* q.m./rt move in this time?

  14.16: A toy car initially moves to the right *l(2,n oo r s. immfsd9sb2/we4tve2iat 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The total displa2/wmsdse9 fl s b2teo,nomi4.vr i(2*cement 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 seconic v.unvf-o 0 ynr;z )n0 zitlz/72a2hds 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 cmlvn uiz-cfr)vo2/ 0z;h7 it nza02ny. 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 movessn7:emxo x-lk m9 6u8j u2x4kx 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 is moving upward while in freeng-e6w/, wr8h js 5 g1vzg2gau fall. Which one of the folloj51 uheg2-sw6ag8/ zwvrn g, gwing choices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right hvlo5ctn48oc-+u- 3c nnb tbcv :iuv5w)a 6 7ncompletes a 20.0 second trip in two stages, I and II. The average spee: wc4 -ct avbui oun5nn +vv3c6t-5l hoc7n)b8d 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 line completes a 20.0 secondyb98:encp:+u qrdw m14pq3*nr/e:dvazik3b 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 magnitudewk iq1nu:pqyc ze 3:pn*e84 +d/d3 9br:mvr ab 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 d0 a1lco cq0m0(tg,o 2 xdrksl,ropped from rest. A ball is launched straight downward with an initial speed of 36 m/s at a tqmca,s( 0,cx d0o 0o2lrl1gktime 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, / y4xa*,q s0sr1s /jg /xjtckn. dwx,ca self-driving car races with a robot. The robot acceleratdst/x0n* sj4jx/agc/y x1s,wqcr, k.es 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 verticallumht2su:g*jq epdw ) 7 539 wjkl;e-zey upward. The vertical 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 pguwt*lhewpeu9 jj; z kq73 5: -em)2sdosition that is one-half of the maximum height it obtains during its flight?