10.10: A particle travels at a constant speed around a circular pat t- *fz;0/efjq lzk/b.dnb*yp qb wu,-h 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 to a particulq,btwgt6 na 12j :acs:ar direc a2ws1nqcb t,t:j6ga :tion is called

  12.29: A vehicle completes one lap around a circular trao-ewm zqr 6 +20.huvywck at an average speed of 50 mzuw r h6w+v2- .q0oyem/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 f 5i4kff(,rli m in 1.0 s at the constant velocity. If it continues, how far wfkfi5 (irlf4 ,ill it travel in 3.0 s?

  05.34: A 40-kg boy is stationary on )jztx c) 3kwu*,h kbm:q/gzv;a 30-kg plank that is sliding at 5.00 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)3;tg xhbvq:zk/,czkw ujm *) 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 and 40a)ukid v.rxz*gb.lba c 8-5 a*lf4 g2y0 km at 100 km/h. What is the average speed of the mo*5fb.c ga2k d.zxuray gv* 8-l la4)bitorist on this trip?

  97.20: This question6oyaq a2)t,iyhi7i-l refers to the motion of a toy car traveling along the x-axis. The gr27iyqyhaa, l-ti io) 6aph 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 motion of a toy cak0bmi: 5ry2g ar traveling along the x-axis. The graph shown below is a plogrk imba:205y t 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 n;d.uft- mmsz+wu 7 u7toy car traveling along the x-axis. The graph shown below is a plot of the car;wmnu7u -7zu +s fm.td’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 fo:yf)yy 6pkz 9gr the winter. At whaty6zpg : 9yf)ky point did the duck stop its forward motion?

  99.17: This question refer to the diagram below which shows the y//g.7rhz-vbg m4foc position and elapsed time of a car starting from rest and uniformly acceleratinzc gromf. b4-// vhg7yg 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 sho kv :4sb7bsd;ows the position and elapsed time of a car starting from rest and uniformly accelerating in a st :dsbk4v7ob ;sraight 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 with the g ee/l,8asuh-f y 1hmt7o(xi( position time graph shown in the diagram at right7e-h 1xiu/t y(efm(,gaslho 8 ?

  00.28: The following question refer to the followd7z ) gqm /uo*k q-5q;kng)kkwing information. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits the floor and gqmg; k/ 7- zqdk5wkku)o )n*qrebounds 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 ideal ela7 7dtt z(q50err x:qp;ts fij)stic rubber ball is dropped from a height of about 2 meters, hits the floor and r eztfsi7 t)q5pxr7:trqdj; 0 (ebounds 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 speed ofk3csy65od8mk $v$ in still water, which of the following trips will take the least amount of time.

  01.01: The question refers to the foll:eu mph8b/+yhiw vxnq g0 yo l2xu/5+6owing 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 to the following scenavd glwy76qu/.3 hz0jwrio: 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 thq qu4(ksb 3pt /vn(0uh;b6of me 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 following scenarioxv: wj4l1)3xz2jj ugn : 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 t z *z(omsqq/n3he table edge. Which of the following would best represent a graph o mqzz(n3* /qosf the magnitude of the ball's acceleration vs time?

  02.01: The graph represents the relationship between distance and time 8)s .woh zw;obfor an object that is moving along a straight line. What is the instantaneous speed of the object;8w ob.wozhs) at t = 5.0 seconds?

  02.02: The graph represents the relationship between distance and time for an ou../pmy yboe8y1 xfy -bject tha8me.uy/p- y yfo1xy .bt is moving along a straight line. Between what times did the object have a non-zero acceleration?

  10.07: A small object is tasz-k7f 81 nlbhrown straight downward on Earth with an initial speed of 12.0 m/s from a position 10.0 m above the grounnklb1sf 7z- a8d. Ignoring air resistance, the speed of the object when it reaches the ground is

  02.11: The diagram below repre jki: v-1rp*v qkz0axj1un 08hsents a toy car starting from rest and uniformly accelerating across the floor. The time and distance traveled nk ir081kjq0x-:zvj vp1ha* ufrom 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 below represents a toy car starting from rest and u )n4nuo63 8qr9glkvpaniformly accelerating across the floo6)urp9lk aq438ngvno r. 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 starting from resju )sy(fh)t,,gt( wyo t and uniformly accelerating across the floor. The time and distance to)g ()wy, fttysh,ju(raveled 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 accer 6qqyt.f/v z7r9n/gblerating ball. The position of the ball each second is rnqq/t9vbz g /r6 f.7yindicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformly accidr,5 ar9rw.txhxsm8 xk98k1z ;dqm6elerating ball. The position of the ball each sec8 h dq5a 6zxkxmrd9xkt.8ms,rwi9r1; ond is indicated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus clown on a unicycvnaw k6x /u8:m3;tlb zle moving in a straight line is shown in the graph bak/n8 l uvb;w3:x6tzm elow.
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 straight p5)i*b mv*)l9zbj9uudylo 0e)q.pjdline is shown in the0)v dpl j*me))o buq.9*p y lubidz9j5 graph below.
After 12 seconds, how far is the clown from her original starting point?

  03.04: When an object falls freelygi9lq yi:ra0/ z shq18h 6y1md in a vacuum near the surface of the earth

  03.11: The accompanying graph desc9ly.p +20 fmxivt,dsx ribes the motion of a marble on a table top for 10 seconds. For whicid+xsy2.xf lpv 0m9t,h time interval(s) did the marble have a negative velocity?

  03.12: The accompanying graph describes the motionvr0stf , 86(e5r z fyst,hm.clfv:k0m of a marble on a table top for 10 seconds. For which time interval(s) did the marble have a positive accelers,rvfv sykefcz068h: l.,r(mm 5tf t0ation?

  03.13: The accompanying graph describes the motion of dbs gizwu* )a8a9supf3.- ;q qa marble on a table top for 10 seconds. What is the marbles average ac zu-p9.)swas3qbau ;figq*8dceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelerates uniformly froxmq t,b*j m4s2wema(+ m 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 strak 62nbyg/ak c x2cae/g;8/rthight 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 graphs could3yyjn j/7 q;me:65;goxkhhzpzc+ py. correctly represent the motion of an object moving with a constant speed in a straikgcqj.3yj p o y/xe;+;:z5npz6 7hmyhght line?

  03.24:The accompanying graph describes the motion of a toy car across thwab3nm ( gf*koplaojkzx/w ;z-5 uz 4 ra/5q77e floor for 10 seconds. What is the acceleration of the wwzb7kpjlrf z37ao-g* /ao5q5(u/ x maz k4n;toy car at t = 4 s?

  03.25:The accompanying graph describes the motion oq v9dgd- .o.wmvc0s:n y9r23 podg;w of a toy car across the floor for 10 seconds. What was they-;mo99w.o0 r3. p gvgd:q v2ds dconw total displacement of the toy car for the entire 10 second interval shown?

  03.26:The accompanying graph desqodjo1rb )o nl q761z0cribes the motion of a toy car across the floor for 10 seconqn)rjz6017 bl1o dooq ds. 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 s7*p nb9utz:ynnfo5q e /(w:r60 km/hr in 4.50 s. Which one of the following choices best :zots benw*/:9 5n p7uyq(nfrrepresents the acceleration of the car?

  06.07: A car has the velocity versus time curve shown. Which of the fol+d 1grotupl, d qu iz5tn:3* 3(.kjcanlowing statements regarding i.uz (ldpog3iqc akr t+*nut1jdn ,53 :ts motion is NOT CORRECT?

  07.17: A toy car moves along -3b*tm4lzaq 3p/ktm abgt,wv0e:o3 z ;sfiw 1the x-axis according to the velocity versus time curve shown to 1pawsft,0vg4 b3;tkmm3wzl* ia:/ z e-t qbo3the right. When does the car have zero acceleration?

  06.22: During an interval of time, a tennis ball is +l/n;*mp4dle e v(o ,jwq t)lcqzx 9s6moved 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 qdte6llsq9c *)m+x(j lnp,4/z; wevotime?

  07.03: Two automobiles are 150 kilometers apart and traveling toward each ltn+i)00f9fs*b ahm9zmx 0 usother.a 0m +0ms90zsf9)ut nfl *hbxi
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 acceleratxgk6( 0:kgbcr ion is positive and increasingg( b:gk0rx c6k

  07.12: The definition of avermvr/ t2gi s9.hage velocity is

  16.18: For any motion in two dimensions, which one of * vaj 7t,s0h6umswqj6the following choices identifies quantities thauwj7 a6 qvhs0* jst,m6t must have the same direction?

  09.17: A toy car movwi9(6/w ,v-sz ebwv oves $3.0\;m$ 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-tgt9f*jfq0 e7pime, $y\;vs\;t$, 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 az;d4a*fn 2n hhxng*a an0aybdg4(1 i:long a one-dimensional track for total time T in two par g* ady:nnxnh nh ;gda (4za*f24b1i0ats.
• 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 fo;iozd ww fih s.m:k+7)r the motion of a car on a straight track is shown in the did); i+f7 sk: hwmo.wizagram. 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 v85 jnw0akpvt+2cdqz 6s. time graph for the motion of a car on a straight track is shown in the diagram. The thick l+a85nqt 6pdj2zcwk0v ine 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 g*zu yd0sb+j-given by the position vs. time graph shown. For what time(s-zbu +j*dy 0gs) is the speed of the object greatest?

  10.11: Consider the motion of an object given by the velocity vs. time pxkd j k4)72nls3a 5iggraph shown. For which time(s) is the acceleration of thnalik 23gx)5dspj k74e object equal to 0?

  10.24: By computing thkaf1gw jdd9 7 ptjgodp()-v lk+3 +6rte area under the acceleration vs. time graph for a fixed time interval of an object’s moti++tlgo)gp-wdk79f d16rp kdjtja3( von, what quantity has been determined for that object?

  11.08: An object moves a8xsl (nsig .h5oox+(;n ks8j5m;jna elong 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 k +041 :lqzo e7hipkjc/k i8nnin 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 5.(xm* hspytd 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 grou+bc* of k xrg8,2tb7dsnd 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 horizontal j :e- b6jpwdv2-mob kob0i -)yaxis is shown. Wb6jw0 -b :) py2vem-do jib-kohat is the total distance traveled by the particle from t=0 to t=10s ?

  13.18: Which one of the following choices correy/uypff u.8lnim3i7 cli /-7; + indxmctly identifies all of the listed situations for which there is a non-zero accelerationiy ix;78u cflp3+n -mudi.7fmy//n li?
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 05wr 20vyfcm *w5 swq ;5 gnu5kg:cavda line is shown. The object sts5g 2rc5agmfdqn50; wwuc:wvk y05*varts 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 and its velocity alongks 0ffg4e-zeikx8,q0 a line vs. time is graphed. Which one of the following choices best gives the proper interval(s) of time for which tfe8xf-00sk4, i kgqz ehe object is moving away from the origin?

  15.09: Two cars are moving to the right on a horiza2 u6o5od18 7hta)ozaeuap rie 1+q 4lontal track, each with constant accelera1ea87hd aalao26rp + q ) 5etoozi41uution. 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 positw.bz.v-a mr1kq1ark, ion $x$, 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 ti32 tnsabf j1+pme shown in the graph, which one of the following choices correctly describes the rns2j+fb1ap t 3elationship between the average speed of the truck to that of the car?

  15.42: Which one of the following choices best describes the instants o4h44budmc )ggq5d e*h l/j -ozf time, atd h d)mqj hcbg4o4*-54ul/ ezg which the car and truck travel with the same speed?

  17.30: Two cars P and Q, each start from rest atu48d9ily7: )/lflgbmr* tp ud the origin and will move along the x-axiifl8u*ul4)9d:mgl / rydp7tb s. The acceleration 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 ol;w yhkhq:y2i2nat mj8+ e j.7n a horizontal line is shown. A me:qjn7 twh+;h.y2y ka28ji lt what time(s) is the object moving with its greatest speed?

  17.08: A mass moves along the x-axis following the positt 7 z9lq;cta ,p0rec1wion vs. time graph provided. During what time interval(s) does the mass have zero accelt; cla w,cqt09z71epreration?