10.10: A particle travels at a constant speed around a circular qxwsgq43e *3zpath 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 as 7bjsn7cn-b; particular direction is call7-bc sbsnj7 n;ed

  12.29: A vehicle complethyl6 og qf9;o+f z; yol5ym5r-es one lap around a circular track at an average speed of 50 m/s and then completes a second lap at an average s o;- ymy5yfq+o6 ho9g;lfr z5lpeed 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 icp:v:+irop) n92uuq pn 1.0 s at the constant velocity. If it continues, :)pc2ri:n9 voqpupu + how 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 m/s 7e p2 r-, fn)zcim5ydlmaincngs ) td09+.e .jto 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 th 0i )sreynmafn9 )c djm,2 7. +nzi5dg.le-ptce plank relative to the pond now?

  97.18: A motorist travels 400 km at 80 km/h and 400 km at 100 km/h. What j15, *7o ulta9fw zbouq1ga.tis the average speed of the motorist on t9u7fotwz gb1jtl *.,aa qu1o 5his trip?

  97.20: This question refers to the motion of a toy car 9f oe j9n;ijo44:xl oatraveling along the x-axis. The graph shown below is a plot o:l4ao;o f i9o9j e4jxnf 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 7+rp zc3kf)hu uc0w3umotion of a toy car traveling along the x-axis. The graph shown below is a plot0pk ruuz)h+73w cfcu3 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 tm 2lc)xbb y(mt0n.c03sn vq l-1/yeqhoy car traveling along the x-axis. The graph shown below is a plomqt( .cm-c0blyh2nbs0)vlx 1q/n3e y t 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 / x5qd,ymp9ls uwc: +uyb*n)x vs. time of a duck flying due south for the winter. At what point did the duck ulm5ws: )u db9xxc,n+/y yqp* stop its forward motion?

  99.17: This question refer to the diagram beb8 2*anqtkfd- xcjnfd xs4x7rl-hz579i.e5 hlow which shows the position and elapsed time of a car starting from rest and uniformly accelerth5rzf4k libq77-5 hxdsn2*.f a9xcdjn e-8 xating 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 posil+qa- r/lb)io0v i ;*a m)mjq,f4v8xn dfkhj8tion and elapsed time of a car starting from rest and uniformly accelerating in a straight line. The average acceleration during the entire 3 seo) mjx8j mari bvq)8,ql ikvl0hfdf -+*/an;4cond interval is closest to

  99.20: What is the shapno4.v -ypk2j0xd3vdm e of the velocity time graph for an object with the position time graph so .jn230kmypvdvx4d - hown in the diagram at right?

  00.28: The following question refer to the following information. An ideal *jr8k/uctlt) elastic rubber ball is dropped from a height of about 2 meters, hits the floor and rebounds to its outt)c8lr*jk / riginal 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. Al;y k56bx+gj4zuy:7 xf znwf,n ideal elastic rubber ball is dropped from a height of about 2 metl,yf 7u: bzx;n y+5zfwk4g6jxers, 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 sp0 p( phlmws5tz-20n. lxrv3 tkeed of $v$ in still water, which of the following trips will take the least amount of time.

  01.01: The question refers to the fbexv(v mpp+ st );7op;cf:n(xd k /mk-ollowing 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 scenariogjvj 4f04tt1oq8p . ew: 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 ref9-jhoq s7i(6k+rh* fp wiuo*cers 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 the0i v ru2-fi4jvq. wtm3 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 c.mvx dq2e6r,1kejlood2 z/;n8 u) ss off the table edge. Which of the following would best represent a graph of the magnitude of the ball's acceleration vsonue;x. 6 ,l)12sm z8sddce2qov rj/k time?

  02.01: The graph represents the relationship betwej fue(xhrt8)gy r 4g;0e 6ec(een distance and time for an object that is moving along a straight line. Whr c;rgfygt(u)e( 6 04j xheee8at is the instantaneous speed of the object at t = 5.0 seconds?

  02.02: The graph represents the relatiow sha9 lw/e9abvahzw4 :e;0q,nship between distance and time for an object that is moving along a straight line. Between what times did awe,szlah ; v0/ 99ea4qbww :hthe object have a non-zero acceleration?

  10.07: A small object is thrown straight downward on Eamjj et.sq2-;l 7iywo1rth with an initial speed of 12.0 m/s from a position 10.0 m above the ground. Ignoringtyo s;7-wmjje1qli .2 air resistance, the speed of the object when it reaches the ground is

  02.11: The diagram below represents a toy cb ry4d6dstd:6waxz h 22ntx n)-k0+s car starting from rest and uniformly accelerating across the floor. The time and distance traveled fromyw)0c b26n+ts2ndk :xd ths4 r6zdx-a 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 starj0t8k*vqv9s:hntt4 o n14k wk ting from rest and uniformly accelerating across the floor. Twv tk 49tjv:qs41 khtnon* 80khe 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 rest and unba8qjezlu.n 6a8 17oziformly accelerating across the floor. Thb e8lnua.j7o8aqz1 6 ze 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 u7vpd,65c:ocprdk28p cjvkd/pa6 o 9uwr 5*nuniformly accelerating ball. The position of the ball each secdd/rcj2oa5d :*pvk,u o566 9vuppnccwpr 8k7 ond is indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a unifobim/ m-:-4 ezcqlgt9lp0 ajd.rmly accelerating ball. The position of the ball each second igmdzm.li9lc-4 qba/pj0t: -es indicated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus q+ free 8i/00yu7f8q su ljl6ps,5ynw clown on a unicycle moving in a straight line is shown in the gra +n,ewl u6rjs80qif0yys/ q u58el7p fph below.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clown on a unicycle my xg/jw ok,9t3oving in a straight line is shown in thet,j ykg9/ow3x graph below.
After 12 seconds, how far is the clown from her original starting point?

  03.04: When an object falls freely q1t lyc0psj35 in a vacuum near the surface of the earth

  03.11: The accompanying graph describes the motion of a marble on a table top zg3ey35 v ga+e0r*dvyjl)wa 7for 10 seconds. For which time interval(s) did the marble have a negative 5r w* yaj)7z3vvdae0+ge3gylvelocity?

  03.12: The accompanying graph describes the motion of a marble on a bo +6ggl:k h9sw-)+*phxl ecqtable top for 10 seconds. For which time intervalc +) 6 l bel+*wosh-qp:khggx9(s) did the marble have a positive acceleration?

  03.13: The accompanying grizsqxf jo-+h*9) s v89w w/jkxaph describes 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 = 3.8 s wox +iwz-h9x v9sjjq*f)k/s8

  03.20: A car accelerates ca4el46mm1cjxo 4 xn/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 sh ox,i1h.hwj ,traight 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 could correctly ree p1 d h2fh* f6l.:19rjs:rvj my*upkmpresent the motion of an objf16ers2pm::fv.l mdy1k *rjh p9uh*ject moving with a constant speed in a straight line?

  03.24:The accompanying graph de 0scf m*vi r01a(a yywq./u)nga,4awcscribes the motion of a toy car across the floor for 10 seconds. What is the acceleration of t0ya( qumw* v4ri s 0nag1y,./wfcaac)he toy car at t = 4 s?

  03.25:The accompanying graph describes theo*h vwx -9yxi( motion of a toy car across the floor for 10 seconds. What was the total wo*y9vh-i x( xdisplacement of the toy car for the entire 10 second interval shown?

  03.26:The accompanying graph describes .czh.rxlc4 d 2n3kl0 dthe motion of a toy car across the floor for 10 seconds. At w 0cnk. d4hzlr23dxlc.hat times or time intervals must the net force on the toy car be zero?

  16.03: A car accelerates ubu .tz-v)png1niformly from 0 km/hr to 60 km/hr in 4.50 s. Which one of the following choices besvg-t .1pz) unbt represents the acceleration of the car?

  06.07: A car has the velocity versus time curvesawi 3 n8tj8l2 shown. Which of the following statements regarding its motion is Niatjlw 8s2 n83OT CORRECT?

  07.17: A toy car moves zpx2y sn/z,: :i+.o( ms*hmo ,gkldlkalong the x-axis according to the velocity versus time curve shown to the righth kno,li2/zsymxp.d+sgo (k*l :,:mz . When does the car have zero acceleration?

  06.22: During an interval of time, a tennis ball is moved so that the angle bqd /mt. ;t;hwzetween the velocity and the acceleration of the ball is kept at a constant 120 degree. Which s/hqm. dz t;wt;tatement is true about the tennis ball during this interval of time?

  07.03: Two automobiles are 150 kilometers apart and traveling toward each other.s/es vke1.wbaw7aqe 5: /9bxy : 5 eaa9evk/ x/bbes .y7w1qsw
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 accelje 2d 4l kv4s.r36rwwleration is positive and increa 23.wrv6k4l rd4j ewslsing

  07.12: The definition of ave g .h10w*ym*tcf)fv pyrage velocity is

  16.18: For any motion in two dimensions, which one of the following choices id l,vs9kx04qk rentifies quantities that muk9srv q40k,lxst have the same direction?

  09.17: A toy car movizg ( jo:is ts,;bb( b;yjv1 yph n4*+jiwxf30es $3.0\;m$ 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-timpn4 uim ..b asv8l0j1le, $y\;vs\;t$, 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 fsllh a/uu m6tu (3xlgh(iaq,)3 70cxwor total time T in twowxutamxs(uq0l 37 3 l/hc liga(u, 6h) 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 gra * +xml;fjll0dph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume thatjlm+;l lf *dx0 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 5w njq :xgx5/ vahmc(+a car on a straight track is shown in the diagram. The thick line xjm 5( h c:/v5g+xwaqnrepresents 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 position vs. timee xa ky070l/6z onicu3ywtb1/ graph shown. For what time(s) is the speed of 1/n/ol07cebiwy6au3zk0y t x the object greatest?

  10.11: Consider the motion of an object given by the1 )-hjeb1p2k/fox mwz c5-3fzaiw)sy velocity vs. time graph shown. For which time(s) is the acceleration of the object iy/w e)pj3) zxzakm hb fw2 c5of-s1-1equal to 0?

  10.24: By computing the area under the acceleration vs. he7wttgz 13y,9olm . utime graph for a fixed time interval of an object’s motion, what quantity has beenz7mtol9y.3e,g twu1 h determined for that object?

  11.08: An object moves along a horizontal line with incre;z dtaj,jel05asing 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 t,i c6zr jat45,nd6qd(yf 2k xuwo 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 r/v2 ggofw2rmp +0w4iyeleased from 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 th-px*wfzx h( to8w96e+9jst ene 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 horizontal axi 7yxs(um6e . 4bwph.xqjq.l*zs is shown. What isxw*h4 .q6bz mq7lex(yp. s .ju the total distance traveled by the particle from t=0 to t=10s ?

  13.18: Which one of the following choices correcw d(jw)9u63pvze+feg tly identifies all of the listed situations for which the9wez uwdfgj6e v )p+3(re 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 line is spv;js*- ar3b nscndvz kf /222hown. The objectsz3-;2rn vkc/b 2nf2 *vpasj d 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 and its velocity alongvp,gdb 4i *d6 +xk:t ge1+tmod a line vs. time is graphed. Which one of the following choices best gives g+ot k mb:4g,1d+*6ievpdtxd the proper interval(s) of time for which the object is moving away from the origin?

  15.09: Two cars are moving to the rvst g+jnr,p4qp7nj d9+xa/an; 5q6id ight on a horizontal track, each with constant acceleration. At an instant of time, the information about th grp,j 4x6qtp7q5d+9ja/v+ nnnds; ai e 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 posimvbs-/t:)ubl jj5p; g+t)uamtion $x$, 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,i/wn pu-,t:hc ,p-/ grsi :wzw which one of the following choices correctly describes t -ni:gpww,rut:z wh-s, /cp/i he relationship between the average speed of the truck to that of the car?

  15.42: Which one of the following k3r*y-nolvy) +23ffmr2-cqus loq v:choices best describes the instants of time, at which the car s2y -vovm)qq2*r f-cul33 +lrn ky:ofand truck travel with the same speed?

  17.30: Two cars P an /2ms36/zjrsm( te bhud Q, each start from rest at the origin and will move along the x-axis. The acceleration vs. time/s(3 ur/z 6 bme2hmtsj 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 ak8y( zt*klf cvo ;.sn1 2lrp-o horizontal line is shown. At what lor n.(lt1cyo zfvkp*- ks28;time(s) is the object moving with its greatest speed?

  17.08: A mass moves alo9o4ue4ei(yqu-muh((tac0ee4 h e j l8ng the x-axis following the position vs. time graph provided. During what time interval(s) does the uoa(tl09c4(j (44ih h ue-u8 eemye qemass have zero acceleration?