10.10: A particle travels at a constant speed around a circular path o08ri kyykka+3j d;a (tf 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 u5v7motj+q r4q nit time without reference to a particular direction is q t+7mov45rqj called

  12.29: A vehicle completes one lap around a circular track apv0 0pxizr( dfq7h/4xt an average speed of 50 m/s and then completes a r7 0(hidv x0px/zqf4 psecond 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 constant v /9xx f/ +t(fgfh/vgdxelocity. If it continues, h9/xx+vtgh/ /xd gff (fow far will it travel in 3.0 s?

  05.34: A 40-kg boy is stationary on a 30-kg plank that is slid0 sgb -;r,6z/exhdye: 5 s9ho0mmcfzxing at 5.00 m/s to the right across a frictionless pond. The boy then turns and starts walking on the planez/ 5xrs0 h :,9mc; ye0sgzbhx mfdo-6k 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 kmzu *moo io87q/ *;hx1jxseon: at 80 km/h and 400 km at 100 km/h. What is the average speed of the motorissnuho*emioj x q;:* xo17 /zo8t on this trip?

  97.20: This question refers to the motion of a toy car traveling )c9n4y-fd;tv ct: wxnalong the x-axis. The graph shown below is a plot of the car’s velocity i4 -w ctn) ;cdxy9:tnvfn 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 re:/l bvges7*2nk k sfs0fers to the motion of a toy car traveling along the x-axis. The graph shov:el7k g b0/fsns*k s2wn below is a plot 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 toy car travelif q*2qt)aj( y ux4dd0hng along the x-axis. Th tu*yqhxda )q(402df je 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 o(h-ry, fb jjy;hz5g9uf a duck flying due south for the winter. At what poinhjhjzybry,g9 f;u5 (- t did the duck stop its forward motion?

  99.17: This question refer to the diagram below which shows the posiip /iwu,wq +3n9d4bt rtion and elapsed time of a car starting from rest and uniformly accelerating in a straight lpw/w4+ni9d r,q ubit 3ine. What was the average velocity of the car during the third second?

  99.18: This question refer to the diagram below which sj3gn )/vkq7s( iv38xy + uayq(/zasjfhows the position and elapsed time of a car starting from rest and uniformly accelerating in a straight line. The average acceleration during8sqf(z aknvxsv/j yg+3 )7qja(iyu/ 3 the entire 3 second interval is closest to

  99.20: What is the shape of the velocity time graph for an object with the ho vrf (c)s(w le,q0g+position time graph shown in the 0w gf (rq(l),svhe o+cdiagram at right?

  00.28: The following question refer to the following infe(3rdf,okjyr+z) (naormation. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits the floor and rebounds to itore ,(zrk+ja3dfy( )ns 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 informat;06 f-8 , po tdz.yxvrdwha2jpion. An ideal elastic rubber ball is dropped from a height of about 2 meters, ht0.hzfjpo8rw 6 2vxyd ;p ,ad-its 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 withlryi;4)t xfs1 a speed of $v$ in still water, which of the following trips will take the least amount of time.

  01.01: The question refk65 a1us-q 7ghm0 7uuwduv: pvers 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 to the following syxxbq5z9lfx 2 n74:f zcenario: 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 scenario: m*zed68 mgvj3a+u7 7fnxon3b 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 followi(0phkug6 ,4jqzg )ljv 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.
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 rolj666neygz q o7ls down a ramp, across a horizontal table top and off the table edge. Which of the following would best represent a graph of the ma6yzgo q7n6e j6gnitude of the ball's acceleration vs time?

  02.01: The graph represents the relationship between distanclor-*jns+a c470 dm 0vq:gm zce and time for an object that is moving along a straight line. What is the instantaneous speed o a7zcvg: crmn+o04 s 0m-q*jdlf the object at t = 5.0 seconds?

  02.02: The graph represents the relationship between distwha no87r2o9hi o-q r0t/7zag ance and time for an object that is moving along a straight line. Between what times did the object havehtr0- q7iw9r z/7oanohoa28g a non-zero acceleration?

  10.07: A small object is thrown straight d cp,s9n.x ,8jq.ddhigs f1lv /ownward on Earth with an initial speed of 12.0 m/s from a position 10.0 m above the ground. Ignoring air resistance, the i,9 pldsf.xn .c,qs vdhj8/g1speed of the object when it reaches the ground is

  02.11: The diagram beev )wi33. j9 fwy;ymiljttu192vjf ; klow represents a toy car starting from rest and uniformly accelerating across the floor. The time and distance traveled f; 2.j3u9te;) 3flk wfjyyivtim1 9wjv rom 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/v:,dc .*tcb ulp w to1etdz;2 represents a toy car starting from rest and uniformly acceleratt vp u*;eb,t.1ow/c2dl z:tcding across the floor. 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 /(,ewk2tbsjd from rest and uniformly accelerating across the floor. The time and distance traveled frod2/k, (jwteb sm 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. The position of t .,ezxv2qxubmp)dvy 1,j3,zwl7 lbz.he ball each secve,v,b3,zzply jl)2 1 m.u .zdw7xbxqond is indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformly accelerating bz.jc9an: 6otaall. The position of the ball each seco.6anj9o c: ztand is indicated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus cl puf,gxiz45l/ own on a unicycle moving in a straight line is shown in the graph belowul, g5x/z f4pi.
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 pudnkpynw,d 0)(afi3 xa4k06)fjk3 o straight line is shown in the 3, dwu0kn))p fonj3kaa4 p(k6 f0d xyigraph below.
After 12 seconds, how far is the clown from her original starting point?

  03.04: When an object falls freely in a vacuukp* s/epl343v idm /xdm near the surface of the earth

  03.11: The accompanying graph describes the motion of a marble on a table t0cvkwuiw*yy v3xc, 2cq i*s25 op for 10 seconds. For which time intervcciv yvs qw*x3 20c ,k52yui*wal(s) did the marble have a negative velocity?

  03.12: The accompanying graph describes the motion of a marble on a table top fc,qbtw w53p lk /;2ny wd1hm*dor 10 seconds. For which time interval(s) didtwhyw5nkdbwc l/ pm 31,*q2;d the marble have a positive acceleration?

  03.13: The accompanying graph describes tk+ 3p ccp:1:dp9tsfdg6jq jqq 5nu4o5 he motion of a marble on a table top for 10 secof juqokq n: gdp59sc4d +t6q53p1p:jc nds. What is the marbles average acceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelerates unif h8uug* 0m4bpf3kj2jv ormly 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 a mgapx-l1 dj cd)k978espeed 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 motion vo+-:7. : ynx xdrpy4gz-hw)ut o:bjn of an object moving with a constant speed in a straznyy-:jt- ubp r7onw.)v4 h:g+:dxx oight line?

  03.24:The accompanying graph describes 0-biu**q. gyrye1 h/8vwc ecjthe motion of a toy car across the floor for 10 seconds. What is th/yruv * cg10-*eeq.wyb ci8jh e acceleration of the toy car at t = 4 s?

  03.25:The accompanying graph describes the m .;50lg 4 sv eweazrqjoc7*4akotion of a toy car across the floor for 10 seconds. What was the total displacement of the toy car;ge0*rwa4 k.5 v4lc7qsjoae z for the entire 10 second interval shown?

  03.26:The accompanying graph describes the motion of a toy car across the floor p* s lysg9sl;(for 10 secondssgl*ylps ;s 9(. 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 km/hr in 4.50 s. Which frrw2y(y 8 b6ione of the following choices best represents the acceleration of the ( wyr8fi2ryb6 car?

  06.07: A car has the veg0 6hbyo0vzy+ wx11ytlocity versus time curve shown. Which of the following sta0o6y+0g1 bxwzy1ht vytements regarding its motion is NOT CORRECT?

  07.17: A toy car moves along the x-axis according to the velocity versh t*a vmzwcmq1y/50po, yc3v+us time cuom1 ty3/ m*a,v v0pzcqwy 5h+crve shown to the right. When does the car have zero acceleration?

  06.22: During an interval of time, a tennis ball is moved so that the angle be2*7xyvo nsfv1 tween the velocity and the acceleration of the ball is kept at a constant 120 degree. Which statement is true about the t7 1vfynvxo*2sennis ball during this interval of time?

  07.03: Two automobiles are 150 kilometers apart and traveling rdwz. 2) l)baztoward each other.w2br z.l)d)az
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-axddx4l3hcvr) , 1wdxie+j mg2- is. When the acceleration is positive and increascwlvxd3d4+ime2dg1 ),rj- x hing

  07.12: The definition of average velo:3 ruo7vou m1dcity is

  16.18: For any motion in two dimensions, which one of the followingo+cixh6xdt 6cijr//.c9 i,v m choices identifie6c ,.9h/ dcircvx /mjoi6x +tis quantities that must have the same direction?

  09.17: A toy car movessn f9i9;;(0t jsa xvyf $3.0\;m$ 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-tisaj u0xo s1/7 gjj4+kame, $y\;vs\;t$, 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.p8 lgkpu /+xzv/9pw r the right along a one-dimensional track for total time T in two ppp9krv/ xp/lw 8.g+zu arts.
• 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 motionn(3o 5kw16ukopda 4xu of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car starts at origi4 okowkuxu15(pa 3dn6n $x=0$. At which time is the car the greatest distance from the origin?

  08.24: The velocity vs. time graph forg dsr85qayh)1 the motion of a car on a straight track is shown in the diagram. The thick line represegdasq5 1h)ry8nts 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. time ecflx)1 -)x mmyujcm) 9 kqxlolh;/(+graph shown. For what time(s) is the speed of /hxxkx l(+q-oel))l1c9umm) ymcj ;fthe object greatest?

  10.11: Consider the motioh(, gtpsfa 6+kn of an object given by the velocity vs. time graph shown. For which time(s) is the acceleration of the object equ,+6khf( sat pgal to 0?

  10.24: By computing thbw:v2r+6lst: 8cw l mte area under the acceleration vs. time graph for a fixed time interval of an object’s motion, what quantity hb+2v :tlswr8 mt :cw6las been determined for that object?

  11.08: An object moves along a horizontal line with increasing speed.ld0 wy1 0fhess)s8m o8
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 two part0 42;q,omp fww)ltn je*;nyv ts:
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 releasyv/x1g8j *:/ukn . d(ahttbe yed 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 the ge2lg0k;d e m(vh ys.-gc;chrc n. -a1iround 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. times3trh,mx(g v6 graph of a particle moving along a horizontal axis is shown. What is the total(6h r,gmt xvs3 distance traveled by the particle from t=0 to t=10s ?

  13.18: Which one of the following choices correctly identifies alcc:opx,ei n9tv +oa/.l of the listed situations for which there is a non-zero accelera nvc/,oca+oi.te x9 p:tion?
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 (jshj rfjiuz829 4 4xsobject 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 frosjx u494jji(rzfs 8 2hm its starting position?

  15.17: An object starts at0nsu *3ft1ukm the origin and its velocity 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 is movi*3t 1 u0fkunsmng away from the origin?

  15.09: Two cars are moving tvod: mfxp, y8:;f)ylt o the right on a horizontal track, each with constant acceleration. At an instant of time, the information abo 8tdyfy x)v:;m: pofl,ut 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 hashfgjb 36 i:otp /(/aaerg;tn( a position $x$, 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 one of 5gt7ncn (1l2qlab h6uthe following choices correctly describes the relationship between the average speed of the truck to that oft l7cg (6l5 nnu2a1hbq the car?

  15.42: Which one of the following1 bjgxu+gfe1 )co.v,q ro z6-j choices best describes the instants of time, at which the car and truck travel with the xg ) .bj guqc1r16vjo-+ ozf,esame speed?

  17.30: Two cars P and Q, each start q*h:c- ; sd3 8on2 covbs:a3w;oysk fxfrom rest at the origin and will move along the x-axis. The acceleration vs. time graph for each car is shown. Which one of the following choices correctly identifies the relationship for both the o2ysx-qc33n8cokfs s*ao:bwdh;:v ; speeds $v$ and the positions $x$ of the cars at time T?

  16.02: The position vs. time hk o()yz( f0(;(jft zd ;nkvrukvht;7 graph of an object moving on a horizontal line is shown. At what time(s) is the o;vz f(to(kn dthuv(;kf)h;k 0zy7(rjbject moving with its greatest speed?

  17.08: A mass moves along the x-axis following the position vn).pb tox) 3 oqr3fd/ts. time graph provided. During what time interval(s) does the mass have zero accel)o dqbf3rnxt o/3.)pt eration?