94.01: Starting from rest, object 1 falls freely fxgca7rido5 goue ;.z) bl61 . vq8fsl)or 4.0 seconds, and object 2 falls freelc)a )v ll 5x.u8b67qo.1gif ;ez sodrgy for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates tooq40u pv+at)w 0 gsml) a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel 0q)4guvo)psw0at +lmduring this time?

  94.03: A ball is thrown off a high cliff with no horizon.)x:ck.6qywrmc2i v ytal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of the ball wy:qcic62). mxrky. v?

  95.27: A rocket near the surface of the earth is accelerating vertically p2a+,qhl gzz1 upward at pl qzz1 g,2ah+$10\;m/s^2$. 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 27yc1 ;gkl.c2 iicy3c: m m/s at one instant. If it continues to fall, one secon3: ykc1cimcg i;y2lc.d later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rewuxp8 4wwsn79v /v ke6ek,1wtst 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 dropped from the top of a building strikesfh(f(w2qu3q- :4mod(rggz +d r ltob 07xnz8e the ground with a speed of 30 m/s. Assume air resistance can bz7l+-fr(3goq8h0nu qfgt(o (xb:2 rw de 4dzme ignored. The height of the building is approximately:

  97.09: At a certain time, t8k h7mj4 d(l-as5jtu an object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velj5u-ak4t7s h(djtm8 locity of the object one second later?

  98.14: How long must aaa 1p6 v-vrf*f $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is founmco/i--8em 9i6uq(x yun 8ky nvptm;: o:ii2nd to be moving downward at 18 m/s. If it contio(:2oymni: ti-mqc8-/xp i nnu i6 ;myuvke98nues to fall, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.00 s until vet+m:8 (csal reaching the ground. Whac8 et a:msl+v(t was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launchedbwq6i lcfn3 unm2b*5g4+0+9lpbwn sy straight 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 heigfc g+2ni+ wbbmnllwy u6sb35* 09n4qpht, 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 mass =0.100 kg is launched straight p yjlqp98* ak0upward so that it rises to a maximum height of 12.0 m above the launch point. Ignorkjq90pp al8*y e air resistance. Approximately how much time does it take the ball to reach the maximum height from its launch?

  98.31: An object slidinm+a4 qhnn -ib-g down an inclined plane has speed 0.40 m/s two seconds after it begins to slide. Apa b+nni-qmh-4 proximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower w0o :7tl vrphu dd5d3i)ith a speed of 15 m/s. Coin II is drop3dtpi:vu rd) ldoh 570ped (zero initial speed) 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 initial speed of anotf;-:m 4 c:wwr*+cytdlk.igm qher, how much higher will it befqcmyrmt.g:wkw4dc:;i +- *l at its apex?

  02.30: A box falls to the ground from a delivery tx /udm 7haov7)ruck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take a)7/ vdhomu7 xthe box to come to rest?

  03.29: An object is thrownj7490v7e8c n oo64 nyqkns5iqk1c fn 2a+ okaa 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 a+n4v o70q4qfo7a ckcay 5non nksa82 i61je 9knd acceleration?
displacement velocity acceleration

  04.10: Three stones + e- 02w)9vpl vi) sh9zokdfmgof different mass (1m, 2m& 3m) are thrown vertically upward with differem2vvfog)+wsplhd -9 z90i) ek nt 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 resistance is negligible.

  10.25: Two point objects are launched straight ulf/0; aina7yzqsf(pgs, fc1 )pward 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 height a, l71s/ i fzc)q a(fy;fnsa0gpbove the launch point in terms of H ?

  04.28: A rubber ball bounces on tht: 2vv :5 vtw*mv3wloe;lvct,e ground as shown. After each bounce, the ball reaches one-half the height of the bounce before it. If t;vtm* w :clt2etl:v,o 53vvvw he time 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 lkz9fb, u8wp 8xaunch, a projectile in free fall achieved its minimum speed during flight. If that minimum speez b xuf8kpw,89d was 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 vertical cliff. The collision of thxo9 gx0h4bincp 5h8+w e pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did 8w xipgnho4 +5xbh90 cthe pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage.yz7m cseco 1 oh p0ov0m*r21i h:-a,zv One student suggested that to determine the height of the garage, they simp,hcoy* om0-e70h1:o ri1svvcma p zz2ly 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 alon1e 9un(:gpi6o,h9loiwc+fxt g a straight line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs ofto(o1iui:9w96xg,f+c hlen p the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-li* s0d xcg1,.b 6co83mhacdgth ke object is pulled 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 released from rest at point A and travel to point B. Assume that in changing directio,scco 1m *6b3cd 0xag8 thdhg.n that there is no loss of energy and that it takes negligible time.

  06.13: A rock is dropped from the top of a mx7q;jk45k on tall tower. Half a second later another rock, twice as45qnjxm; o kk7 massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. Tl;;ahd jquc- .c, qc0d* ,ejovhe cart comes to rest after traveling 1 m. The experim ;cuhacq* qd.jdc,jv o,le 0;-ent 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 initially moving at 0.5 m/s along a track. Theyg;j khe ,*+1kfs:x jdb+h.fo 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 comkke;1 sjfxyh j. db,+:o+gfh *ing to rest?

  08.03: A dog starts from rest and runbr8;fzcvp:**md- m y gs in a straight line with a constant accele -* 8z;mgbpfd:* rcmyvration 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 )t2mpugffslw; (3: o ifalls without air resistance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the rema(o :pl3ti m2sffu );wgining distance of 0.5h?

  10.38: Two objects both move and uniformly6 . n(veck6q/f ;uzbgc accelerate 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; Objecknfvcebgzq6;u(6 /c . t 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 horizox z54o pxf c :jfw0j 4dec/fb+5v/;ycnntally with speed 10.0 m/s from a height H above the ground. The object x5w dc54y0ojefx:+/np;v/jbf 4zcfcreaches 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 remains in uyx4cm y )i0cy .wra;q-b,av0free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object .a rxy4yi; uacwmb-),yc0v 0q as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how many meksndrqb.c(: p5 /b* a;/pfqaelzt;p0ters does the object fall during the first 3.00 seconds optfa;sa/;.c0l b/kprbn(*z : dp5qqef flight?

  15.02: A box uniformly slides 7.50 m to rest across a fth,dejw -4w)c ;b 9rmblat surface in a time of 12.0 s. ;jwed,4) t9 hw-bcrmb What was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 8v;k hiv/p 0fdio1lh- m/s in a time of 3.00 s. Through what distance does the cart move in this ti 1;lo dpi-hv8ihv0/fk me?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five sgfj0w debwj)m18 ,+c beconds 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 following choices best represents the magnitude of the average velocity of the car durin+cfgww bj8d,0 bm)e1 jg the five second motion?

  14.17: A toy car initially moves to the right at 60..5xkf6 nh d pc9t1m(mm0 cm/s. Five seconds later, t5 (mdm1pc6ht 9mkn x.fhe 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 following choices best represents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with cons lp gyfyeuj / z in3zrj-vxy;g*5i777,tant 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 up+ dh)es bm ;p, o,o,nkq8shgl7ward while in free fall. Which one of the following choices best represents t,)+heso8,nbl go ds h,;7 qkpmhe direction of the object’s acceleration during its flight?

  13.26: An object moving 6a9hxp6r waibx 1m i6w2):,n *ncsvcxonly 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 must the object have during the 8.0 seconds opn6iv1m,2ba ccsrixawhx 96n6wx *):f stage II?

  15.32: An object moving along a line completes a 20.0 s rgci5bcg)1g(.o- z y d7brg7pecond 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 obje-r7gcpdg b )15. ogci7yr(bgzct have during the 8.0 seconds of stage 2?

  13.33: At the top of a high ctr4ile. /5vap nb1o5d liff, 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 ba4bn5ia51v r.lo / tdepll 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 self-droirz:9nnd* pb24ayo 5 iving car races with a robot. The robot accelerates at 4a: bnzd n*poy2o59ri$8.50\;m/s^2$ 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 launtzt g7b i6;mfn03abd/xp k/9vched vertically 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 position that is one-half of ibft n;7va3/gmdbpx9/ 0t6kzthe maximum height it obtains during its flight?