10.10: A particle travels at ( zqyfl wrl+tugu6+ 72a 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 without reference to6zalnd0j6yluebyt qsq4( b +b, bn4 :1 a particular dirzq61lde ysn l0y4(bu4b tbq:, a n6bj+ection is called

  12.29: A vehicle completes onv2vfw/9008zmxhle3t +lhyu z e lap around a circular track at an average speed of 50 h9h3 y8lz l/vm tvfu0xew02+zm/s and then completes 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 0.80 m in 1.0 s at the consta8v8cra lv- zdht .wi47nt velocity. If it continues, how far will it t 8iwtz 8r.cvda-7lv 4hravel in 3.0 s?

  05.34: A 40-kg boy is stak k7ug2pf-r /qtionary on a 30-kg plank that is sliding at 5.00 m/s to the rip/gfk 7qk2r u-ght 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 the pond now?

  97.18: A motorist travels 400 km,y tsp dg-z.l6 at 80 km/h and 400 km at 100 km/h. What is the average speed of the motoristztldy, sp-g .6 on this trip?

  97.20: This question refers to the motion of a toy car traveling along th cb3:.vj5c5(ejlo4k evh- kii e x-axis. The graph shown below is a plot ofj(kjv.:- 5o i eielbc35cvkh4 the car’s velocity 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 motion5ew xnr+ i7 mlrz2s2y .yyfd85 of a toy car traveling along the x-axis. The graph shown below is a plot of the car’2 fd8ymlx7 52r.nzw re i5+yyss velocity in the x direction, $v_x$ versus time $t$.What was the acceleration at 33 s?

  97.22: This question refers to the mi hh6z aq c:l-5o)p6wlgm3pc )otion of a toy car traveling along the x-axis. The graph shown below is a plot of the car’s vel 6 ag c5z:ql-h p)mo3l6hi)cpwocity 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 velok m j:0s x-bm,ozfakgn k.2v28kjl8/bcity vs. time of a duck flying due south for the wintem j.k82kfvknb-2 /gx: b,8 jzs0moalkr. At what point did the duck stop its forward motion?

  99.17: This question wgt5j ix:50e4hm+ p htrh;g6tg(e rv/refer to the diagram below which shows the position and elapsed time of a car starting from rest and uniformly accelerating in a straight line. What was the average velocity of the car during the thir e:r+twgt m56x;j4 gg(pth/hihv05erd second?

  99.18: This question refer to the diagram below whicknv7 eu6/xg, rh shows the position and elapsed time of a car starting from rest and uniformly accelerating in a straight line. The average acceleration during the eexu7vg r6n,k /ntire 3 second interval is closest to

  99.20: What is the shape of the velocity time4 jra(b-auu 5h graph for an object with the position time graph shown 5- r(aa4bjhuuin the diagram at right?

  00.28: The following question refer to the following information. An ideal elas+vh5mji*b/ iutic rubber ball is dropped from a height of about 2 meters, hits the floor and rebounds to its original he i/hmjb* iu+v5ight.
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 fo4:yq8*votqz r llowing information. An ideal elastic rubber ball is dropped from a hqv:y8o4q r tz*eight of about 2 meters, hits the floor and 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 ,zil)79;fx8qwam wpqwith a speed of $v$ in still water, which of the following trips will take the least amount of time.

  01.01: The question refe/y6xn5ig5l.pco g no0)kc+ jtrs 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.
During which time interval would cars #2 and #3 be moving at the same average speed?

  01.02: The question refer.kiw)bs 5rkfb+hbw* 4s 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 refernnn(up5*f5t3dfoo x+ if( tce/up 4 r)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.
Which of the three cars had the greatest average speed during these 5 seconds?

  01.04: The question refers to the /0x5tn0 uegnj 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 a hoymh8 (f ado/.brizontal table top and off the b fhyo.( m/8adtable edge. Which of the following would best represent a graph of the magnitude of the ball's acceleration vs time?

  02.01: The graph repr 8uc 40mdpc /t)qjd/xcesents the relationship between distance and time for an objectd4c p/u /0jcmq8d)xct that is moving along a straight line. What is the instantaneous speed of the object at t = 5.0 seconds?

  02.02: The graph represents the relationship betwetgsyel9ws g23gz/n+b1nj- s. 9knb0den distance and time for an object that is moving along a straight line. Between what times did the objectj bn2l n gnw+/.gdy9 s93bt10esskz-g have a non-zero acceleration?

  10.07: A small object is thrown straight downward 6zix zno5t u:b jhh8 )1dj5rx,f*r y0ion Earth with an initial speed of 12.0 m/s from a position 10.0 m above the ground. Ignoring air resistance, the speed ifbjxzti *56j)z,0od1yrrxhu85 n:h of the object when it reaches the ground is

  02.11: The diagram below represents a toy car starting from resttflim,6dwey k) 3 5 d+bnp)74kde wtu de6j(5o and uniformly accelerating across the floor. The time and distance traveled from the start are see,dj +7p)kueldf)6(d d4wttnyw 355 6bomki hown in the diagram.
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 ro7 n mg 3lb82.fx5hifstarting from rest and uniformly accelerating across the floor5onf73 f l8 xgbrm2i.h. The time 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 wguyv4; 1-vo pvuvyujnt 3 az0:6x:)ystarting from rest and uniformly accelerating across the floor. The time and distance traveled from6vxy y zv:vy3jvp-gua4wn uo: t0 ;)1u 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. Thfhz - k m;;p5gc,if0fke position of the ball each seco k ph-zmk f;;fc0f5,gind is indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram sho2qjt:yhm*ic6l sd3l trc4slf +lj7*4 ws a uniformly accelerating ball. The position of the ball eachcc*3sytl6*4 l qmdjlslr+ 47hfj 2:it second is indicated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus clown on a unicycle moving in a straight li enqaa lc+1wr 1o6(ix6ne is s6nrl(i+ 6x1 ecwao1qahown in the graph below.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clqcp3 uzlvl )m 7x7xh6-own on a unicycle moving in a straight line is shown in the graph 6 v lluxq 3x7cmzh)p7-below.
After 12 seconds, how far is the clown from her original starting point?

  03.04: When an object falls freely in a vacuum near 2:lw,y 89puj me9fw xcthe surface of the earth

  03.11: The accompanying graph describes the mkrinv2/oupps*l6 l;;4d uuk( otion of a marble on a table top for 10 seconds. For which time interval(s) did the l ndpp;v62(;siuuulk/ *ro4k marble have a negative velocity?

  03.12: The accompanying graph desc2r(u zlo 5g(k2lwdosgz4 1nv)ribes the motion of a marble on a table top for 10 seconds. For which time interval(s) did the marble have a positive accel2z oz ol 1g(r2(5gvuskwn4ld)eration?

  03.13: The accompanying graph describet okl54 tq9z-mrsi+o- p*im6cs the motion of a marble on a table top for 10 seconds. What is the marbles average acceleration between t = 3.3 s and t = 3+iioc56km otl-* tsz4qmrp9 -.8 s

  03.20: A car accelerates uniformly from rest for wj2k vrk (7oz/gd-vxwqy 5k94a time of $2.00\;s$ through a distance of $4.00\;m$. What was the acceleration of the car?

  16.06: An object, thrown straz;rigem03 w.zcr 8qd b-hb ;( ;;w6jqxqa6fvgight 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 following graphstji4 8vf5vys8 could correctly represent the motion of an object mv4jti8f5y8 s voving with a constant speed in a straight line?

  03.24:The accompanying graph describes tzaballci /r47 rz83(q5itg:c he motion of a toy car across the floor for 10 seconds. W7ciz/zc 34 aq8 ig:lr tr(l5abhat is the acceleration of the toy car at t = 4 s?

  03.25:The accompanying graph describes the motion of a toy cak5wnk 4f kk* 1a/ .rsbvca0 yesa+2d/j .azvs(r across the floor for 10 seconds. What was the total displacement of the toy */0 s5 vwc4s2 akea1k. rafydbv(z/jns ak.k+car for the entire 10 second interval shown?

  03.26:The accompanying grapl hm.cd*ac(. gh describes the motion of a toy car across the floor for 10 seconds. At what times or time intervals must the netglcc..ma h(d* force on the toy car be zero?

  16.03: A car accelerates uniformly from 0 km/hr t8vih*5nhfmv9j q1:cx f.3/ fs zwjr8no 60 km/hr in 4.50 s. Which one of the foll1fvs 5.98/fi *nj:x 8q rmznhfhwv j3cowing choices best represents the acceleration of the car?

  06.07: A car has the velocity versus time curve shown. Wh wh1x gxw-+w2vich of the following statements regarding its motion is NOT CORRE ww1xhgx2- wv+CT?

  07.17: A toy car moves along the x-axis according to the velowq)r; aq 7s4-xw ggfo+city versus time curve shown to the right. When does the car have zero acceleration;sx f-g7a qwgw q4o)r+?

  06.22: During an intervavy pe9og-4lpa0qzwgg :- k.;42 gfkijl of time, a tennis ball is moved so that the angle between the velocity and the acceleration of the ball is kepg4.4;o e -g2f:jvlqk wpzga9pgy-k0it 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 and traveling toward eav d6g5xza9l.f ch other.la 9xfv6zdg.5
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 is positive and ippr5)ps*n )mgncreag *pmr)p5)nspsing

  07.12: The definition of average velocity i:(frk/wxzb 5 cne(:yws

  16.18: For any motion in two dimensions, which one of the following choich7ojl 9ockz 67es identifies quantities that must have the samec97zoh6 7kjol direction?

  09.17: A toy car moved(g.cgp6ade 2mb * yfk*sh2z6s $3.0\;m$ 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, 35bvalhf o ix.xm3i 2,$y\;vs\;t$, 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 along c2fv*uz05rt 3g 9q8fc :ydu bq.grdy/a one-dimensional track for total time T in two partvdrgg cb*uq/520:fc93.8ytdyr zuqfs.
• 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 motionorvkg ht(9r. xfv- +1sk4bb2jm+8 lbw of a car on a straight track is shown in the diagram. The thick line represents the velocity. Ask+job 4rt m fbgxw. 2+lb(rvsvh8k9-1sume 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 graph7 blhg)ksksgwj 1 r:0 y1)ng*8j j*hud for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the 8j)g0y 1jgws s7b)hd*g*h uln:krk1j 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. timetq.g2 zz sz29a-cpurtkxg - )5v,)ovb graph shown. For what time(s) is the speed of the object ,qrg)c)az . kt-usbogtz v5vx292 pz-greatest?

  10.11: Consider the motion of an,eh6xve9(nm n;qpgk*x yx- 7f object given by the velocity vs. time graph shown. For which time(s) is the acceleratnq;mk - p (f9evn*x xyxg7h,6eion of the object equal to 0?

  10.24: By computing the area under the acceleration h932+ (pxczyy- yvx lurqtct--6vid+ vs. time graph for a fixed time interval of an object’s motion, what quantity has been determinedyv-yd3rlx +qx -2iy9zu+ct6h-t cpv( for that object?

  11.08: An object moves along a horizontal line with increasing 8p7e/vo *hx akspeed.
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 tr; )svz0wjab-*vdf rg6 ,ky5cuip in 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 from rest lopbu*7i1 8vwp zgh30and 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 time ce;(nt 4xn surdw u *b ln(2t-6p0l+nnof $2.50\;s$. 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 horh ;3qncty+1q;x jsec:izontal axis is shown. yq;n; q xh1ct+je3s :cWhat is the total distance traveled by the particle from t=0 to t=10s ?

  13.18: Which one of the following choices co hv nr.lox*j lh4)/juz2/hg j,rrectly identifies all of the listed situations for which z hjl g4ohxnl/ /jru)2*,jh.vthere 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 vsu:*5 gn y9v )ux (agtjx9*oaziwy.3na . time graph for an object moving along a line is shown. The object starts from rest at time t=0 s. At what time(s) does the object attain a maximum displacement 3y*ungotja9yizavu .nxa5 g *):(x9w from its starting position?

  15.17: An object starts at the origin and its velocity along a line vkp2lesxlag p4x0v3b.0kl;b; s. time is graphed. Which one of the following choices best gives the proper interval(s) of time for whiclk; p.x0v2gepka3ll0b x s4;b h the object is moving away from the origin?

  15.09: Two cars are movo(rfs 5tzg0- kvtgt22z 73svq ing to the right on a horizontal track, each with constant acceleration. At an instant of time, the informao2s z3rsq -gf vgvtt5k02z t(7tion 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 positmf4j qbbc8xnx; 7t26 bv4* kition $x$, 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 tn l(8: u 12ad u)(pq rm4hso-khbfh6oyhe graph, which one of the following choices correctly describes the relationship b ol)y nkhm: h8r-h6a4bfdp (ous1 q2(uetween the average speed of the truck to that of the car?

  15.42: Which one of the following choices best describes thehwzb cb(3 +7zn instants of time, at which the car and truck zbb3(wn 7hcz+travel with the same speed?

  17.30: Two cars P and Q, each start from rest at the origin and will move alo-bf31bxcsfcjb 8 y0i - pmi/s;ng the x-axis. The acceleration vs. time graph for each car is shown. Whij-8b;1imcb/f ifs- ys3c0bxp ch 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 horvge3(j/:q;j1byl( j lsow-0iw0dlx+fif um) izontal line is shown. At whgq+lb-vf oljsdm0(3x j1 0:( jw)ulef; wi/iyat time(s) is the object moving with its greatest speed?

  17.08: A mass moves along3hj:;zo udqj:i qs2 1zg:)kwmc d2j .i the x-axis following the position vs. time graph provided. During wjdjj)13zdw:h igcuz: o 2m.sk;:q qi2hat time interval(s) does the mass have zero acceleration?