10.10: A particle travels at a constant speed around a g,1pms drte/k r08f0pcircular path of radius $R$, if the particle makes one complete trip around the entire circle, what is the magnitude of the displacement for this trip?

  99.01: The change of distf;aj+q3lv2 wjance per unit time without reference to a particular direction is av3+jjl2 ; fqwcalled

  12.29: A vehicle completes onhj3+a87d9se9ymb v xhe lap around a circular track at an average speed of 50 m/s and then completsba79 3hey +89mxhvd jes a second lap at an average speed of $V$. The average speed of the vehicle for the completion of both laps was 80 m/s. What was the average speed $V$ of the second lap?

  95.03: A toy car moves 0.:ph4rx+h:np 8u yl32l 9vsbtx80 m in 1.0 s at the constant velocity. If it continues, ho3+:ub8hy4vl sh92 pr:nxp lxt w far will it travel in 3.0 s?

  05.34: A 40-kg boy is stationary on a 30-kg plank that is sliding at 5.00 ec4d3n8axa x3 m/s to the right across a frictionless pond. The boy then turns and starts walking on the plank at a rate of 4.00 m/s to the left, relative to the plank. What is the speed of the plank relative to cn 833 dxaxe4athe pond now?

  97.18: A motorist travels 400 km at 80 km/h and 400 km at 100 km/j ncs25:jarg. +o u7sts wxe(0h. What is the avera+j c:te7srju2(.os xs0anwg 5 ge speed of the motorist on this trip?

  97.20: This question refers to the motion of a toy car trj+hd:o)9jw.f s.8jb 3gjeaxf aveling along the x-axis. The graph shown below is a plot of the car’s v jjw9d)as :ffej x8og3bh+j..elocity in the x direction, $v_x$ versus time $t$.
During what time interval was the car moving towards its initial position at constant velocity?

  97.21: This question refers to the motion of a toy car traveling along thj ut9u*xz r4f2ooy6t.e x-axis. The grap.o zjx42oftuury9 t6*h shown below is a plot of the car’s velocity in the x direction, $v_x$ versus time $t$.What was the acceleration at 33 s?

  97.22: This question refers to the motion of a toy car traveling along thgx -zx3* n0uvae x-axis. Tgx* 0x-uz 3avnhe graph shown below is a plot of the car’s velocity in the x direction, $v_x$ versus time $t$.
How far did the car travel during the first 15 seconds?

  99.15: Given the graph of the velocity vs. time of a duck flying due south fa3l17vwvun m.or the winter. At what point did t vw7l3u1nvma .he duck stop its forward motion?

  99.17: This question refer to the diagram below which shows the positionrw6ksep65arda: 88zx and elapsed time of a car starting from rest and uniformly accelerating in a straight line. What wasz p 5:68dsx arr6ek8wa the average velocity of the car during the third second?

  99.18: This question refer to the diagram below which shows the position and el l7j:sbzn gva0h -:shcvj,0n 3ap00c j a:3nlj,vv gh-bs7hn :szsed time of a car starting from rest and uniformly accelerating in a straight line. The average acceleration during the entire 3 second interval is closest to

  99.20: What is the shape of the velocity time graph for anpq16 nd:f-a1n 7 mtgoo object with the position time graph shown in the -qm7ad6gnn tp 1oo1f :diagram at right?

  00.28: The following question refer to the following information. An ideal ela: )k5orgz99 cj a0fe-z)ctocistic rubber ball is dropped from a height of about 2 5 ja0cetf)z 9):c rogik c-zo9meters, hits the floor and rebounds to its original height.
Which of the following graphs would best represent the distance above the floor versus time for the above bouncing ball?

  00.29: The following question refer to the following information. An i wh g3jgb:5;tbdeal elastic rubber ball is dropped from a height of about 2 meters, hits the floor and rebounds tog;hg: 35bb jwt its original height.
Which of the following would best represent acceleration versus time for the bouncing ball?

  00.39: If a boat can j1d vwp2(2cw mtravel with a speed of $v$ in still water, which of the following trips will take the least amount of time.

  01.01: The question refers to theg(qo)s:m s ot3 following scenario: At $t_0$, two cars moving along a highway are side-by-side as they pass a third car stopped on the side of the road. At this moment the driver of the first car steps on the brakes while the driver of the stopped car begins to accelerate. The diagram below show the positions of each car for the next 5 seconds.
During which time interval would cars #2 and #3 be moving at the same average speed?

  01.02: The question referwxh0vx 6tnrq m,fc y4d+;w47e s to the following scenario: At $t_0$, two cars moving along a highway are side-by-side as they pass a third car stopped on the side of the road. At this moment the driver of the first car steps on the brakes while the driver of the stopped car begins to accelerate. The diagram below show the positions of each car for the next 5 seconds.
About what position after $t_0$ would car #1 and car #2 have been side by side?

  01.03: The question refers to the follxv ryk5; q, 8(vvnfdqq0eo. /qowing scenario: At $t_0$, two cars moving along a highway are side-by-side as they pass a third car stopped on the side of the road. At this moment the driver of the first car steps on the brakes while the driver of the stopped car begins to accelerate. The diagram below show the positions of each car for the next 5 seconds.
Which of the three cars had the greatest average speed during these 5 seconds?

  01.04: The question refers to the following scenare( mt yfh5*4i6i-9r dh2ggvhafpe v. *io: At $t_0$, two cars moving along a highway are side-by-side as they pass a third car stopped on the side of the road. At this moment the driver of the first car steps on the brakes while the driver of the stopped car begins to accelerate. The diagram below show the positions of each car for the next 5 seconds.
If car #3 continues to constantly accelerate at the same rate what will be its position at the end of 6 seconds?

  01.33: A small ball rolls down a ramp, across a horizontal table top and off theojn :v:jk)z 9x table edge. Which of ozj) xnv::kj9 the following would best represent a graph of the magnitude of the ball's acceleration vs time?

  02.01: The graph represents the relatio5s +osjr ,hye,(s8uox: 7t vccnship between distance and time for an object that is moving along a straight line. What is the instantaneous speed of the objectjv8e+(ur oshx7,, oy5scst:c at t = 5.0 seconds?

  02.02: The graph rep*9 xhv7jc q q32.)- mfefhqgufresents the relationship between distance and time for an object that is moving along a straight line. Between what 9 efjmch3g *q q- xqufhv2f)7.times did the object have a non-zero acceleration?

  10.07: A small object is thrown straight downward on Earth with an init-uohx*g2jlp )u gj0 q-ial speed of 12.0 m/s from a position 10.0 m above the ground. Ignoring-g -x)q0jup2 hjlg* ou air resistance, the speed of the object when it reaches the ground is

  02.11: The diagram below represents a toy cky .pr;scuibxu7089sbmh p2 0 ar starting from rest and uniformly accelerating across the floor. The time and distance traveled from the start are shown in the dibprs7i.08 u mk2h c;p ybu09xsagram.
What was the average speed of the cart between 0.1 seconds and 0.3 seconds?

  02.12: The diagram belo4- eu vp mpj72*7hrumaw represents a toy car starting from rest and uniformly accelerating across the floor. The t 4h7u m -rap7v2*puemjime and distance traveled from the start are shown in the diagram.
What was the acceleration of the cart during the first 0.4 seconds?

  02.13: The diagram below represents a toy car startingjom; 9 w+e0 gx:po58g yxqkli/ from rest and uniformly accelerating across 0lg:px kxwj+9igq 8m/eoy; 5othe floor. The time and distance traveled from the start are shown in the diagram.
What was the instantaneous velocity of the cart at 96 centimeters from the start?

  04.08: The diagram shows a uniformly accelerating ball. The position of the baacessz6 9nhuql8bg 60y 6;c5cll eaghc866c06;qeblsyzn sc a 95uch second is indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformlk4jej0ug45gkmqe7 7+ s w -a7rm/nnapy accelerating ball. The position of the ball each second is indicate/-e77n ur7m4a 5k ng+jwkspme40q gajd.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus s daq2k(05ej3g qti1x),tdkyclown on a unicycle moving in a straight line is shown in the graph3yqq,gstxjek d 152at 0d) k(i below.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clown on a unicycle moving in a /3n anz.7 faenc()eglstraight line is shown in the graph bl.n)ce(nef z/a gn73 aelow.
After 12 seconds, how far is the clown from her original starting point?

  03.04: When an object falls freely in a vacuum near the surface ofix5awh o1t v;-gzo -6j the earth

  03.11: The accompanying graph describes the motion of a marble onbeq1(9+tn;b(c4 hq*-xyf uzx, p9, dmqdw spv a table top for 10 seconds. For which time interval(s) did the marble have a neg*4 vwmxx+( hq(t1 p-bcdfn ;,q9y9,b zeduqpsative velocity?

  03.12: The accompanying graph describes the motion of a mauq cktbg21 zv55gi0y8 rble on a table top for 10 seconds. For which time interval(s) did the marble ha2y q5czivgtg b058uk1ve a positive acceleration?

  03.13: The accompanying graph describes the motion n1y/x,mwx-4h, z jsueof a marble on a table top for 10 seconds. What is the manu,/xw 4 1 smjye,h-xzrbles average acceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelera*p-advg7.)fv/ j mcfltes uniformly from rest for a time of $2.00\;s$ through a distance of $4.00\;m$. What was the acceleration of the car?

  16.06: An object, thr;s x5g3( a*if(hksx diown straight downward with a speed of $20.0\;m/s$, takes $2.00\;s$ to reach the ground below. From what height above the ground was the object thrown? Ignore air resistance.

  04.03: Which of the followink*krew m6 ,d co8aj/7qg graphs could correctly represent the motion of an object moving with 7e8jk d,okq*cr/wma 6a constant speed in a straight line?

  03.24:The accompanying graph describes the motion of a toy car across t .nn29bml 8dxcx8 i0 q+tjeu..s-ktsehe floor for 10 seconds.ct0lsd u ket-.q2bi.j8n. x9nmxe8s+ What is the acceleration of the toy car at t = 4 s?

  03.25:The accompanyingx* 6lo6p8z ogo graph describes the motion of a toy car across the floor for 10 seconds. What was the total displacement of the toy car for the entire 1oo*6gp6l o8xz 0 second interval shown?

  03.26:The accompanying graph describes the motion of as jrzovmp 2wtase(3 bxx0a/u1y*1 9;r toy car across the floor for 10 seconds. At what times or time intervals must the net foo 3y ( w/m1u vsxp;jxe0r *z9b2as1ratrce on the toy car be zero?

  16.03: A car accelerates uniformly fromwn jx)e ;hn:0t 0 km/hr to 60 km/hr in 4.50 s. Which one of the following choices best represents the acceleratio t;hn:x0wje) nn of the car?

  06.07: A car has the velocity versus time curve shown. Which of the followi; rkaen;z70 ahp: ce jrw.2 bbxep9:3ang statem7 . ::0h;xbz; epb karr wjpeea2a3nc9ents regarding its motion is NOT CORRECT?

  07.17: A toy car moves ac8ov 7z/ zw(vic;hpd, long the x-axis according to the velocity versus time curve shown to the right. When does the car have zero acceleration? i, 7zd8;vvp (h /zwocc

  06.22: During an interval of time, a tennis ball is moved so tha5xe vgo-suw*:w+ygmpca 8w ;1t the angle between the velocity and the oa5-uw* :wgwycpem+ g ;81v sxacceleration of the ball is kept at a constant 120 degree. Which statement is true about the tennis ball during this interval of time?

  07.03: Two automobiles are 150 kilometers apart a(w 0kk dk /dmpi+-eni4b u;b*and traveling toward each other. /n-4(b;biepa ki +mdkdk*uw0
is moving at 60 km/h and the other is moving at 40 km/h. In how many hours will they meet?

  07.04: A particle moves on the x-axis. When the acceleration ii2ln2ku, 0zw ff(ibz0.h u,j;yu t qu/s positive and inc,ythufzf(u wl0/jn 22iuuzk. , ;0iqbreasing

  07.12: The definition of average velop3 /p3rhiuc, ol q6odsg1mp03city is

  16.18: For any motion:*r ix71jv+zru- zfq3vuv 6hu in two dimensions, which one of the following choices identifies quantities that mi7qv hr-* 1r+u3zfu6v vjxu:z ust have the same direction?

  09.17: A toy car moveb ,b vt.-brhw1s $3.0\;m$ to the North in 1 second. The car then moves at $9.0\;m/s$ due South for 2 seconds. What is the average speed of the car for this three second trip?

  07.05: The position-time.yd,it1dd 0 ,ilp)kow, $y\;vs\;t$, graph for the motion of an object is shown. What would be a reasonable equation for the acceleration that would account for this motion?

  09.31: A car moves to the right ab d0lwll061sg long a one-dimensional track for total time T in two pa061l lb0 gwldsrts.
• Part One: The car maintains constant non-zero speed V for the first $\frac{3}{4}$ of the total time.
• Part Two: The car accelerates uniformly to rest during the last $\frac{1}{4}$ of the total time.
What is the ratio of the distance traveled during Part One of the trip to the distance traveled during Part Two of the trip?

  08.23: The velocity vs. time graph for the motion of a caruu,r/v a w, y3.nu6vik5 d3 ohy(skkx6 on a straight track is shown in the diagram. The thick line rnk,w ua(.5 3h6,rs dyu yv3uo6k/kxviepresents the velocity. Assume that the car starts at origin $x=0$. At which time is the car the greatest distance from the origin?

  08.24: The velocity vs. time graph for the m 8 t3(gmdwi..c nbswp,eyto6:otion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that t,wbt(36.nyi tweospg.8:cm dhe car starts at origin $x=0$. What is the average speed of the car for the 10 second interval?

  09.08: Consider the motion of an object given by the position vs. time graph 9f z*jtp/irn2: hzq7qshown. For what time(s) is the speed of the h:7j2*9pzizq t rfnq/object greatest?

  10.11: Consider the motion of an object given by the velocity vs. time graph ssr6vt(k.mnbg5 jvf ,)9 0 87iuhiccqihown. For which time(s) is the acceleration of the object equal to c8shbg0c 6tu 5qv,(ni9r i)kf .7jmiv0?

  10.24: By computing the areako ey32ocsx;j.swq81 qd:-b c under the acceleration vs. time graph for a fixed time interval of an object’s motion, what quantity has been deter-xojd1o q238.cs;ky qs:ebcw mined for that object?

  11.08: An object moves al8 *j ddl3jmw,hy*mb i*o ;ifh9ong a horizontal line with increasing speed.
choices could represent the signs of the velocity and of the acceleration for the object to achieve this motion?

  11.14: A car makes a trip in twqe: i8cs :/hkgbbxnol*-2q )go parts:
Part 1: it travels a distance of 800 m at a constant speed of 4.0 m/s.
Part 2: it travels a distance of 1200 m at a constant speed of 20.0 m/s.
What is the average speed of the car for the entire two-part trip?

  13.02:A small object is released from rest and reaches the ground in a ti2 xo w0ojg-e5bk7 md q( n52yx(imyy;yme of $2.50\;s$. Neglect air resistance. With what speed does the object reach the ground?

  13.03:A small object is released from rest and reaches the grojb/qkq q ie7h(rph *p r2g,15gund in a time of $2.50\;s$. Neglect air resistance. From what height above the ground was the object released?

  13.17: A position vs. time graph of a particle mbwu6+c ub f3/1br3ovvoving along a horizontal axis is shown. What is the total dist31u6 wfbbv v/+ 3rcoubance traveled by the particle from t=0 to t=10s ?

  13.18: Which one of the following choices correctly identifiv b+* 1r1uckjem(ji*zes all of the listed situations for which tueir *jb1(1kmc * v+zjhere is a non-zero acceleration?
Situation I : A point object moves in a straight line with increasing speed.
Situation II : A point object moves in a circular path with constant speed.
Situation III: A point objects moves in a circular path with decreasing speed.

  13.32: An acceleration vs. aihq654:j l k/wtmq33k4efxotime graph for an object moving along a line is shown. The object starts from rest a3o ai t hq q3m:klf5wje4k/64xt time t=0 s. At what time(s) does the object attain a maximum displacement from its starting position?

  15.17: An object starts at f txh-q6kgg 4tpa22+othe origin and its velocity along a line vs. time is graphed. Which one of the following choices best gives the proper interval(s) of time for which the obj-tqp og+ 4akgtf22xh6 ect is moving away from the origin?

  15.09: Two cars are moving to the right on a horizontal track, each with consale mvnq-7+un p:(2nqvx 8;js tant acceleration. At an instant of time, the :vj +(mu7 pn xqq;na nvls8-e2information about the cars is shown:
Car #1: position = 125.0 m; velocity = 13.0 m/s; constant acceleration = $1.5\;m/s^2$
Car #2: position = 80.0 m; velocity = 9.30 m/s; constant acceleration = $5.5\;m/s^2$
During the next 1.0 second of motion, which one of the following choices best represents what happens to the distance between the cars?

  15.14: A particle has a po2jnjda;rfkt l8uhmy 1b(69 0 csition $x$, as a function of time $t$, given as $x(t) = -15 - 25t + 10t^2$. Which one of the following choices represents the magnitude of the particle’s acceleration? All quantities are expressed in base SI units.

  15.41: For the entire time sho: myxzx3/q -lpm2-ntw wn in the graph, which one of the following choices correctly describes the relationship between the :xx/-lt yq-wm2npm3z average speed of the truck to that of the car?

  15.42: Which one of the following choices best describd:r rzcx,+0f 6qdnj25do; qvees the instants of time, at whi+6c5j onvrx qfe dq :zd,r0;2dch the car and truck travel with the same speed?

  17.30: Two cars P and Q, each start from rest at the origin and will m-n dy gfo)cz9yy7g:;zove along the x-axis. The acceleration vs. time graph for each car is shown. Which onz ;9yo z7g:fgcy)dn-y e of the following choices correctly identifies the relationship for both the speeds $v$ and the positions $x$ of the cars at time T?

  16.02: The position vs. time graph of an object moving on a hl2ez4l mf f j34ve s8nin d2r;(0lrl0gorizontal line is shown. At4fl2 gfnjse20z;ei v 8lm0l4nrd ( l3r what time(s) is the object moving with its greatest speed?

  17.08: A mass moves along the x-axis following the position vs.3krslix(tii kw/8./s time graph provided. During what time interval(s) does the mass have zero acceler wkxsk8r3i/t.sii/(l ation?