10.10: A particle travjm/uh//jkg .xels at a constant speed around a circular 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 distance per unit time 4/i,kx:l8ui d( h n /1efemoxewithout reference to a particular direction ishkxndiom /,4feex(1/ :ul8i e called

  12.29: A vehicle completes one 3d 75bv ;f-xmrzo6t irlap around a circular track at an average speed of 50 m/s and then completes a second lap at an average speed ob 3vx; irt-7fzmrd6o 5f $V$. 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 0.80 m in 1.0 s at the constant velocity. If / ,bbumdwty+( it continues, how far will it m(bwy+u db t/,travel in 3.0 s?

  05.34: A 40-kg boy is stationary on a 30-kg plank that is sliding at 5.00 m/sb4 wg(nr4b.jl to the right across a frictionless pond. The boy then turns and starts g(w4rnjb4 .lb 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 the pond now?

  97.18: A motorist travelsju -1jgjf.ke12:bmvm 400 km at 80 km/h and 400 km at 100 km/h. What is the average speed of the motorist on-u:kb21g.vmj ef1mjj this trip?

  97.20: This question refers to the motio1dhhqw u bt1 cbm+o76,n of a toy car traveling along the x-axis. The graph shown below is a plot of the car’s velocity in the x directiuhcm 1b6btw1hd o 7q,+on, $v_x$ 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 c4 lah -zgfbi5x04l mynd,ew/ eqr21s9ar traveling along the x-axis. The graph shown below is a plot of the14er5 0adgzy 42,-shmiqe xf/9lnwlb 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 - 6mh65qc .- xrvf4fne,f6m+mx gqavathe x-axis. Thevrmm+ v.a c,4gfq6 m66 anxfx-q5feh- 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 fowl1j,63kop v,rgd6r xr the winter.wor 3 l,r166kg dxpvj, At what point did the duck stop its forward motion?

  99.17: This question refer to the diagram below which shows the: 8ho o.bhcqm;y(b u4c position and elapsed time of a car starting from rest h.qu yo8(bc; h4b :mcoand uniformly accelerating in a straight line. What was the average velocity of the car during the third second?

  99.18: This question refer to the diagram below which shw9 jet+t(i: a8ud ca:y 58guxmows the position and elapsed time of a car starting from rest and uniformly accelerating in a straight line. The average acceleration during the entirema c 8t :du(9a 8xuit5:gjyew+ 3 second interval is closest to

  99.20: What is the shape of the velocity time grak*-dfn1.dj 9 uaj0 yw4y (evnwph for an object with the position time gra (y0.dnj *yuwfd9a- k4ejv1 nwph shown in the diagram at right?

  00.28: The following quel g0y bp1wnut0uz:1w ;stion refer to the following information. An ideal elastic rubber ball is dropped from a heigh gwz0u;1w tl0npuy :1bt of about 2 meters, 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 informnzq k2+x kq(up1m7hz -qen2b1ation. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits the floor kz 7q-qnkx(m b1upz+h2 2enq1and rebounds to its original height.
Which of the following would best represent acceleration versus time for the bouncing ball?

  00.39: If a boat can travel wit4 op8:e fb,eo(* pjbhnh 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 the following scenario: u su6. 6mue(muAt $t_0$, 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 refers to the following scenario: At g,m8ggg 0d;1;l lkfgx*f fo2 s$t_0$, 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 followiv2ir e bv+h)a;ng 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 xh)etv*v/dlrxq,kzcp3g2d f .1h /t +refers 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.
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 agosvoh d -l+.l,+e ewi7w7cwvke5. q2 horizontal table top and off the table edg ee l+sd+w.o7wvk -ecq7w.o52givlh,e. Which of the following would best represent a graph of the magnitude of the ball's acceleration vs time?

  02.01: The graph represents the relationship be 6a m+y1gyuw.ptween distance and time for an object that is moving al gp .a61wyumy+ong a straight line. What is the instantaneous speed of the object at t = 5.0 seconds?

  02.02: The graph represents the relh ba3ur1ihn,budus /m1lqn ,h iq, /.w7x-*f yationship between distance and time for an object that is moving along a ,sd ,r3,/fwn hql1yi7h n q u1.bibx*au/hu-mstraight line. Between what times did the object have a non-zero acceleration?

  10.07: A small object is thrown soljm bml; sq96w55 d(atraight downward on Earth with an initial speed of 12.0 m/s from a position 10.0 m above the ground. Ignoring air resistance, the speed of thb 5ado(j9 m65m; llqwse object when it reaches the ground is

  02.11: The diagram below represents a toy car starting from rest y- 6 e tbeif6r0upz0:7svt9 sjand uniformly accelerating across the floor. The time and distance traveled from the start are shown in the d bs7 tpv jy9f :ru6e6-i0se0ztiagram.
What was the average speed of the cart between 0.1 seconds and 0.3 seconds?

  02.12: The diagram below represents a toy car starting from res/i 6.bav gw5ygm3lp1ic) gk g(t and uniformly accelerating across the floor. The time and distance traveled from the stak g.vgyai/13wmgl6(c p5 )i bgrt 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 start bjp hjtehs.7c0ph0 )*ing from rest and uniformly accelerating across the floor. The0jt sjp*)eb7 . chh0hp 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 accelerx, iux:bot/8yw n nw ;v9l-c8g3dr )wcating ball. The position of the ball each second is indic8nl3vn8d:gr/9wt)y xbxi w;,-ocwu cated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformly acceler-,jaucpdyf 5q;r2, y rating ball. The position of the ball each second is inyj,puf5aqr ;2d yc-r,dicated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus c 1;rzawgrbu1wmk:g10q -7x z)jvz it-lown on a unicycle moving in a straight line is shown iwrq 1;)gi--ktzmzu:jrgaz 7vw 1 1x0bn the graph below.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clown on a unicycle t-+ im40linsx moving in a straight line is shown in the graph bet0xi l-is+ 4mnlow.
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 ofi1 j gz 5 afi5*q ;xqub:*(vywnf.qm2u the earth

  03.11: The accompanying graph descrwj ffe6 zn7weofiu756mmp e 3 /-ip13uibes the motion of a marble on a table top for 10 seconds. For which time interval(s) did the marble have a negativ35jeziwipeu6mf p 7f3em6o-n/ 71 fuwe velocity?

  03.12: The accompanying graph describes the motion of a marble on a table top t/7u *mqx p9fzr 0 5cqgir7w8afor 10 seconds. For which time interval(s) did the /8q i rcrtxz59qm 7g p*0aw7ufmarble have a positive acceleration?

  03.13: The accompanying graph describes l4/mflhu i* q07cxq1fthe motion of a marble on a table top for 10 seconds. What is the marbles averfc xlqq 1mf0u *l7/i4hage acceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelerate8m/bzc d3( rpzo/ujtbi na8/8 u:3dg zs 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, thrown straight downward with z/, evo (yqhss)-r;mia 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 following graphs could correctly represent the moti9ljgb4 u4qh-.dh6o * *o5xasrt slek7on of an object movinx6esq9* jhl4d7rs a*h-ob tl45o.u k gg with a constant speed in a straight line?

  03.24:The accompanying graph describes the m5 rt;ju *jr+k3t umig(b i9f(dotion of a toy car across the floor for 10 seconds. What is the acceleration of gri 5jitdkur(b;ft 3 mu(9*j+ the toy car at t = 4 s?

  03.25:The accompanying graph describes the motion of a toy car across the mtzr2eg9p vdwgd,zf m77 ;i 2x(;xz:lb *q3vvfloor for 10 seconds. What was the total displacement of the toy car for the entire 10 second interval v m dvg7; :,z elw9i7z2b2;md3(f*xz pgvx rqtshown?

  03.26:The accompanying graphtz 89frray(bs 9j tm8+ describes the motion of a toy car across the floor for 10 seconds. At what times or time intervals must them (r 9+r8fzatbs89tjy net force on the toy car be zero?

  16.03: A car accelerates uniformly from 0 km/hr to uy6ho5 q)+ j;f,sa qmgdn, *wr60 km/hr in 4.50 s. Which one of the following choices best re; grj,,un 6f5qyawq+ sm)oh*dpresents the acceleration of the car?

  06.07: A car has the velocity versus time curve shown.o/lb *f -p p.pvja3oh( Which of the following statement*ap .p -3hbojo(fv /pls regarding its motion is NOT CORRECT?

  07.17: A toy car moves along the x-axis according to the velocity ve;l z5, eunc1yrrsus time curve shown to the right. When does the car have zero accele5 ur, c1z;nyleration?

  06.22: During an interval of time, a tennisv kamdcjs i/6zvb )9 ;ib4zkjf9c-4 *j ball is moved so that the angle between the velocity and the acceleration of the ball is kept at a constant 120 degree. Which statement is true about the tennis ball during this interval of timmk i biv9/ j-;k9 4cfj6av sc4bd*)zjze?

  07.03: Two automobiles are 150 kilometers apart and traveling toward each othe eve+2z;gx( * 7baeucwr.b+acve g;7 x(e2*w ezu
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)m9y u/7vb rlt the acceleration is positive and increauv9 l/mb7rty) sing

  07.12: The definition of average velociuunq.e:-7zxm/ ;q eely 2zi)yy 0-pk gty is

  16.18: For any motion in two dimensions, which one of thekl37a )t o:uw((hck i s5jw/yq following choices identifies quantities th qjw i7a hky:/kl53t(ow)( csuat must have the same direction?

  09.17: A toy car moves v;j8 j (7ecsvn$3.0\;m$ 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,e)e4l qr:h;(jvzr5f(kuip ujan/ f :. $y\;vs\;t$, 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 thretha, *z3rb /e right along a one-dimensional track for total time T in two r ,ebth*ar3/z parts.
• 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 9 ;9jbfj4kl f)eyvk/susqb3/a car on a straight track is shown in the k sffbvjl3/b 9e)jsk 4 9/uy;qdiagram. The thick line represents 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 thei-nqp b0 dd:/twh*l:dl+wrl lku53z6 motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car starts at ntu0r*l h:d zdw+ 5kl/d6-b:il qwl3porigin $x=0$. What is the average speed of the car for the 10 second interval?

  09.08: Consider the motion of an object given by the positioq+72 n 4tcoo3 2mcg wnzinl9t:n vs. time graph shown. For what time(s) is the speed of the object greatesn oicgl 2 n 2qtc4z39omn7+:twt?

  10.11: Consider the motion of an object given by 7a7+ t:1mojbagp*r kn the velocity vs. time graph shown. For which time:k raj+o7nt *p7m 1bag(s) is the acceleration of the object equal to 0?

  10.24: By computing the area under thjr4;3kbu i1xj e acceleration vs. time graph for a fixed time interval of an objec kibj3xju;14r t’s motion, what quantity has been determined for that object?

  11.08: An object moves alg 0iy raivm7 g,c-2b0qong 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 y732uphtxeb/5f 7 0ussenp1l two 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 fthy4u-p99:* w zpe,znynqz;f a+crv7 rom rest and reaches the ground in a time 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 ground in a tim zos2:zob9ox(9qmj5 e e 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 moving along a horizontasarhcd- 0;*cop6-dku2bl ko m8r + go2l axis is shown. What is the 6 og2mb-orhcd+*p -0a sco;ld rkk8 2utotal distance traveled by the particle from t=0 to t=10s ?

  13.18: Which one of the following choices correctly identifieuc27+zw tw 5dos all of the listed situations for which there is a non-zt wowu7c +2dz5ero 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. time graph for an object moving along a line insmq+ iv/m3(t1mf +l ds shown. The/il1sm+nqtdvm f 3( m+ object starts from rest at 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 the origin ak7vgn 1d, n0p61lkx0vkir 8ft nd its velocity along a line vs. time is graphed. Which one of the following choices best gives the proper interval(s)1r 0ltinkvv06p18nf kg 7, xkd of time for which the object is moving away from the origin?

  15.09: Two cars are movin3uoap hcm8n 7ra1 h4(y3. dcpug to the right on a horizontal track, each with constant acceler3mh .cn71p3uyuc hpd4or( a a8ation. At an instant of time, the information 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 positi3-- ..gpswf 7nswt eyqon $x$, 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 shown in the graph, which 3imyu,:7oc)3kv 2xes xaw+ lov)) t kyone of the following choices correctly describes the relationship between the average speed of the truck to tso w,): amikc3xox)y vy) kv+2l7e3uthat of the car?

  15.42: Which one of the folloyj9c4vd wbgh : 2zh7wz-v ef49wing choices best describes the instants of time, at which the g-hzbv hfw94e9 z4c2 7:dyvj wcar and truck travel with the same speed?

  17.30: Two cars P and Q, each start from rest at the o3kzuqvx3rm1) rigin and will move along the x-axis. The acceleratirm)3u3q1 zkx von vs. time graph for each car is shown. Which one 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 horizontal line is m;5su4 k cyu5eyi1.nvshcuv um s51.iy 5kny;e4own. At what time(s) is the object moving with its greatest speed?

  17.08: A mass moves a+gdh7/ a+jx f rbsi15.czr9folong the x-axis following the position vs. time graph provided. During what time interval(s) does the mass havedrxr+f 9g c1o.i5/ha+zs jfb7 zero acceleration?