10.10: A particle travels at a constant speed l,ge fucj++l0around 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 refem+v 7q7fck9bb- 2g cmb:wale;rence to a particular direction is ca7+mac7:2m kcbblq wbf;9-e gv lled

  12.29: A vehicle completes one lap around a circular track at an average3d h4db,3qwta speed of 50 m/s and then completes a second lapdq4 athd3bw, 3 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 constacai sog)* co/xq;g9a0nt velocity. If it continues, how far wi*aaxoig) csgq; o c09/ll it travel in 3.0 s?

  05.34: A 40-kg boy is stationary on a 30-kg plank that is sliding a3 qzy4rot4 k;nwrn): u2 4ioagt 5.00 m/s to the right across a frictionless pond. The boy then turns and starts walking on the plank at a rateynr n4 uq) :4w3ot;i ko4g2azr 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 at 80 km/h ae ce* :kh0s (pqgr+61dffy)z und 400 km at 100 km/h. What is the average speed of the motorist on thdc1+ug*s (:pkz q0 yh ffe6)reis trip?

  97.20: This question refers to the motiont,wg 5;gpzqi q /7nxq3 of a toy car traveling along the x-axis; tgp3iqn5z/,7wg qxq. The graph shown below is a plot of 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 mo (,tlts8+h bxks c8 zca;)4rgp*5le hction of a toy car traveling along the x-axis. The graph shown below is a plot of the car’s velocity inr z alp)teg5hcs(b8,+kh;st48x*cl c the x direction, $v_x$ versus time $t$.What was the acceleration at 33 s?

  97.22: This question refecvdve,ge)mf 6fy9r7 - rs to the motion of a toy car traveling along the x-axis. The graph shown below is a plot of the car’s velocityvrg9)6cmy7v ,-ee df f 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 1 e5oub-m nrfv. 22;gghaqft79uar(dthe velocity vs. time of a duck flying due south for the winter. At what point did the duck stop its forw1b5vg9umfdtua r 2( .7h;nofqa2- gre ard motion?

  99.17: This question refer to th3ssgc a232ztsgj1 9 bla4d. jqe diagram below which shows the position and elapsed time of a car starting from reb3 9gj.13s sjsaalt4g2c z2q dst and 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 shows the position xp.5 06hct h :kq d45.-z ikkxn0jteihand elapsed time of a car starting from rest and uniformly accelerating in a strtxdp46xe5kt0 qihni . c -zkjh hk:.50aight 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 an object withfno d66 5q(hrh7 by(kz the position time graph shown in the diy(z 6rh7d5kb6(nhfqo agram at right?

  00.28: The following question rtm7o xp30vzb*efer to the following information. An ideal elastic rubber ball is dropped from a height of about 2 meters, hitz* b 70mxp3tvos 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 idecp1i /7k:7tf) oayfggal elastic rubber ball is droppe c/:1ogayif t7p)kg7 fd from a height 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 with a sp j/:xj qou9h9z2gja2reed of $v$ in still water, which of the following trips will take the least amount of time.

  01.01: The question v zj1e0og4 0)oidmmi7refers 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 refers toh5ujla u y44, rmn+jvnxm-+4u 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 following scenk4(r- g0,zmlt(as og xario: 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 tvl t8;/ 0wgs7n ot8/zxnnppwt/j.1w l he 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 horizontal table top and onid 5 tz8zmb apv;n271qhe4 ,vff the table edge. Which of the following would best represent a graph of thehzz pa5 t7nenb42,qvim d81v; magnitude of the ball's acceleration vs time?

  02.01: The graph represents the relationship between diu )cv-qoro8di)xa.5 nstance and time for an object that is movin.oi8rndcq-xv) )5 o uag along a straight line. What is the instantaneous speed of the object at t = 5.0 seconds?

  02.02: The graph represents the relationship berdwqj+lw:/+q p cm-)ptween distance and time for an object th+ +wpwq)p/d cjmq: r-lat is moving along a straight line. Between what times did the object have a non-zero acceleration?

  10.07: A small object is thrown straight downward oelvmht,ap8 (-8y)bpm ,lmrfnq 8x/ z)n 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 thex8fv (l),zhnrp-8)qt/b8 lm maeymp , object when it reaches the ground is

  02.11: The diagram belo 5wxac 5c:emg;kvz7 )y*pm/jbt;p ,nkw represents a toy car starting from rest and uniformly accelerating acro ca5b: jkyzgkc;7*pt/n,m vw) x;m5pe ss the floor. The time and distance traveled from the start are shown in the diagram.
What was the average speed of the cart between 0.1 seconds and 0.3 seconds?

  02.12: The diagram bel u i n)0 rrhuq6/5jtkq,i:aayb/n/1oz ow represents a toy car starting from rest and uniformly accelerating across the floor. The time and diri,:o /nrn0ahb5uz t/6 u1 q qka/y)ijstance 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 starting from rest and unifosrf tc ihl) /t4g4.igg. 2lho3rmly accelerating across the flof. g.g/li)ti 4og hsh4l23crtor. 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 bo4bm;1aosy( xall. The position of the ball each sec 1oa4(yo;mbxs ond is indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformly accelerating ball. The position of tu3:k9q u ya k (yt(w+yv+.vzvshe ball each vy.kuv+ ya(9 y(3t:kwz+ qusvsecond is indicated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus clown cscmd2h (-v )vo20mw vdff.b5on a unicycle moving in a straight line is shown in the graph becdf0-dbhm(s o )2fwvvcm2 .5vlow.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clown on a unicycle movingyk, vcsw1axi4a)c :t) in a straight line is shown in the graph bel1wkavyai sc:, t4))cxow.
After 12 seconds, how far is the clown from her original starting point?

  03.04: When an object falls freely in a vacuum near pu.-y,:svip vthe surface of the earth

  03.11: The accompanying graph desc:wh9 v-,rg-sn4,+bfqjahnj 7sw b y*x ribes the motion of a marble on a table top for hwqjn:ry -f bb9hx gw,* +s,sj4nva7-10 seconds. For which time interval(s) did the marble have a negative velocity?

  03.12: The accompanying graph describes the motion of a marble on a table top ok+ 09x4qoosjfor 10k xoq+soo4j09 seconds. For which time interval(s) did the marble have a positive acceleration?

  03.13: The accompanying graph describes the motion of a marble on a tabn6n8x0pjw bt,/ ;hzco le top for 10 seconds. What is the marbles average acceleration between t = 3.3 snz, txwnh;b/ j608poc and t = 3.8 s

  03.20: A car accelerates uniformly from rest for a time ofd45/n3ut+th2q ux cg v $2.00\;s$ through a distance of $4.00\;m$. What was the acceleration of the car?

  16.06: An object, thrown stc/tlxtw 2) fa *auz6z bn8m-3sraight 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 folwu)4 h vf.w)qmp-q f,llowing graphs could correctly represent the motion of an object moving with a confmwfl.qq-vuw,h )p 4) stant speed in a straight line?

  03.24:The accompanying graph describes the motajcu -1 tjd f xp+4q;zh(js4pn82 vob,ion of a toy car across the floor for 10 seconds. What zu,;+qpdancvtj1 4jfh-xpbo 8j4 2(s is the acceleration of the toy car at t = 4 s?

  03.25:The accompanying graph describe uypa 84o7km8n wiz ;ihu2bt0(s the motion of a toy car across the floor for 10 sm at2 o8bhwu47uk(yz0ii np8; econds. What was the total displacement of the toy car for the entire 10 second interval shown?

  03.26:The accompanying graph describes3 vy8;2vu:.crk;djn4qcu q tf the motion of a toy car across the floor for 10 u4dfnyc8 qk3jv .c;vqt:u2r; seconds. At what times or time intervals must the net force on the toy car be zero?

  16.03: A car accelerates uniformly from 0 km/hr to 60 klnwklp:2cv0m5 tp1 7lm/hr in 4.50 s. Which one of theltkv 27l1pc:0 5 pwmnl following choices best represents the acceleration of the car?

  06.07: A car has the veloc, j(sq3o48-cnhvq 2by fewjh 4ity versus time curve shown. Which of the following statements regarding its motion is Nocvs ,82qj fn- hy 4h3e(4bqjwOT CORRECT?

  07.17: A toy car moves along the x-axis aovz0kwh1,j r3ccording to the velocity versus time curve shown to 3h0 rz1,jwokvthe right. When does the car have zero acceleration?

  06.22: During an interval azvrd n98n kh;o/(j*:,nu mux of time, a tennis 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 ofn on*:k;8r nau/ z ,hjm(9uxdv time?

  07.03: Two automobiles t*eqo6x2 p4 tzare 150 kilometers apart and traveling toward each other.x2* ep4o6qz tt
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 yp()b0a/uhj+ ol d) r46,*pgtbujqps. When the acceleration is positive and increasingy*pj )g4p+pu q dbh)r t(u l/0,6sbaoj

  07.12: The definition o.+ p)mx 5rdyjmj8o0fsf average velocity is

  16.18: For any motion in two dimensions, which one of the following choi47/cq+aymm zo i0u k6rces identifies quantiti0 k i/+yz4c6roum7amq es that must have the same direction?

  09.17: A toy car moves ko mgg0(qha+cr1+ hq,$3.0\;m$ 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-timk7 g(w0h vbg*le, $y\;vs\;t$, 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 a one-dimensional track for total time 6mk zit, qyo+ 0o*4vym e/fxk+sezz45T i +zqy+zm4*5 4etx6ymoise,0z kkov f/n two 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 grapnn t -,1b2qbej+l 9k2hjrje9mh for the motion of a car on a straight track is shown ib9r1e 2jnlth,m2 e9bq kj-+jnn the diagram. 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 the motion of cz-uf a3q n..oa car on a straight track is shown in the diagram. The z-oqcnu..f3 athick line represents the velocity. Assume that the 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 posih v 5p-fx09af0fltwqjk+cx 0(tion vs. time graph shown. For what time(s) is the speed of the object greatesfp+c9 fj5t( 0wkq0x -flxh0vat?

  10.11: Consider the motion of an object given b5b .y ulk;zol+j,d2 rcjjz6*8 apk (xwy the velocity vs. time graph show*j. +jbru yl(6poj8zcdl ; 25kwzk,xan. For which time(s) is the acceleration of the object equal to 0?

  10.24: By computing the area under the acceld )qkcj uf(x7;b:4av feration vs. time graph for a fixed time interval of an object’s motion, what quantity has been fjda4b:; (xc )uk7 fvqdetermined for that object?

  11.08: An object moves along a horizo0pmszal;hw na8kq3 ,yi c c/,5ntal 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 trip58w7d 65tzsiw wxx +6phfr *gx 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 and reachesf h)c2a/eerovuhw/3;gr d* +b 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 i8)wkiv7 9 k3bauhzdp8g-1n; d.ojuiq eu ,y0 gs released from rest and reaches the ground 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 moving along a d lp:2 ab4 cohx.-r7lvhorizontal axis is shown. Wa r2dvh.4x lolp 7c:b-hat is the total distance traveled by the particle from t=0 to t=10s ?

  13.18: Which one of the following choices correctly zduprvl;4whbb 1 yp* ,-vjfd8y/o4n /identifies all of the listed situations y 8l w14/pd*v bbz-uf,dvpj yrh4n/;o for which there 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. time graph for an object moving along a line9it,skct qp) m7.qq+u.njd3 kj3 q+ge is shown. The object starts from rest at time t=0 s. At what time(s) does the object att ei9j3qg.q+qk3ks jdp )7n.mqc u,+tt ain a maximum displacement from its starting position?

  15.17: An object starts at the origin and its vet3ule3 su 85z81vpy:+o4lp1 agjjkualocity along a line vs. time is graphed. Which one of the following choices best gives the proper interval(s) of time for which the object isp3g85+p 81tkz1ajuau4:lj uvyeol3s moving away from the origin?

  15.09: Two cars are moving to the right on a 4( toul.g.r/nqyt2 uehorizontal track, each with constant acceleration. At/logy n e4.ut. tq2ru( 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 posi9g,wbne- uj6 ytion $x$, 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 ti,uak(omj 2 +/ mds(jilme shown in the graph, which one of the following choices correctly describes the reld2jmkjoma (li+ /us, (ationship between the average speed of the truck to that of the car?

  15.42: Which one of the following choices best describes the instanvowdh,s :6ct8 ts of time, at whd8soc,t :vwh6 ich the car and truck travel with the same speed?

  17.30: Two cars P and Qkpzl; hw1by)*5h i x7t, each start from rest at the origin and will move along the x-axis. The acceleration vs. time graph for each car is shown. Whil5*;w hx kht7) pbyiz1ch 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. twt0cax 1 )w- ctvyu)*fime graph of an object moving on a horizontal line is shown. At what time(s) is avc-t 1*c)w0w ytux)fthe object moving with its greatest speed?

  17.08: A mass moves along the x-axis followi- /ct:svg25ab 8nlgc lng the position vs. time graph provided. During what time interval(s) does the mass have zer5vca l 2g8s -cl:ntg/bo acceleration?