10.10: A particle travels at a constant spii* ap09h:c y/kfp0f seed 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 referyqp/rjp s*km 4:p-f6kence to a particular direction is calj*kmf 6:s/ py4r-kqp pled

  12.29: A vehicle completes one lap around a circular track at an aver5-i 96js7pk k0sle kzxyea69iage speed of 50 m/s and then completes a second lap at an average speedik799a sp yikk50ej6lx-e6zs 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 a,e 4x88guba tlt the constant velocity. If it continues, how fgxel4ut88b , aar 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 pd*:i-ndost 9 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 the left, relative to the plank. What is the :p d-i*9tosdn speed of the plank relative to the pond now?

  97.18: A motorist travels 400 km at 80 km/h and 400 km at 100 km/h. Whap+ w*ov6cv)i8sil-fgb,j /gqt is the average speed of fjcg)+l- 6 8wi qobv*g/ vpsi,the motorist on this trip?

  97.20: This question refercza/9txrxv .xa7 6qo448h qees to the motion of a toy car traveling along the x-axis. The graph shown below ia 4q7cx896et e/r qoz4x.vxah s 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+lt/qexaa+a 4 the motion of a toy car traveling along the x-axis. The graph shown below is a plot of +xlae qa+/at 4the 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 th.wic7ttd3)th i) e /pje motion of a toy car traveling along the x-axis. The graph shown below is a plot of the car’s velocity in the x directio 3w picit/.dj7)t teh)n, $v_x$ 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 syew ejo) :*m; da9z5xoouth for the winter. At what point did the duck;eo joza)9x*y emd: w5 stop its forward motion?

  99.17: This question refer to the diagramy(f0g (g4miv zbiw+3n below which shows the position and elapsed time of a car starting from rest and unz fy3bi0wi((gg+ n4vmiformly accelerating in a straight line. What was the average velocity of the car during the third second?

  99.18: This question refer to the diag6rze s1hlxvv2 jit- i)nc. 8a5ram below which shows the position and elapsed time of a car starting from rest and uniformly accelerating in a straight line. The average acceleration during the entire 3 second intza62).v5hjtscrivn1ix - l8e erval is closest to

  99.20: What is the shape of the velocity 9dk6uj65(op.r3xf dcxmq ac,time graph for an object with the position time graph shown in the diagram at r,c.pq d xxo3rad966kumc(j 5 fight?

  00.28: The following question refer to the following information3eufhxp:q 8klnrv2.ag383iit o a 6u,. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits 2oi8u3a:i 3q3pf6 a8xlh.kn,vrteu g 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 thex4;su(xv nulv,2. el hw4 phs6 following information. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits ux4;exu, . 2lls(svw vh4ph6nthe 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 jy9:l m*t9 .l s/zgyzmtravel with a speed of $v$ in still water, which of the following trips will take the least amount of time.

  01.01: The question refers to the followlk0rq ii+; 5vpgemea :l50lj(h8t f5ying 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 scenannu3d9 gxj0 7lrio: 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 scenarioeidk-js 9*ev4 : 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 scenario: lhom qdun)ea h)a *(fs+3in(- 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, acroswd1zjrz ihlr u++og/iu /1-i.s a horizontal table top and off the table edge. Which ozjd ./ +ir-1 zu+u/wihio1glrf the following would best represent a graph of the magnitude of the ball's acceleration vs time?

  02.01: The graph represents the relationship between distanc3ze lev0 (;b1r4fs zqbe and time for an object that is moving alonfb4 e q(b1;rz3slzve 0g a straight line. What is the instantaneous speed of the object at t = 5.0 seconds?

  02.02: The graph represents the relationship between distance and time fixtia )yzy:a0/kt -)-esf.v yor an obyyai :y. --a/)etis)fzk0 xvtject that is moving along a straight line. Between what times did the object have a non-zero acceleration?

  10.07: A small object is thrown straighxur5 w agp:uy* 4i8:qet downward on Earth with an initial speed of 12.0 m/s from a position 10.0 m above the groungaix ruw*4:8:epy qu5 d. Ignoring air resistance, the speed of the object when it reaches the ground is

  02.11: The diagram below represents a toy car starting f 6udg0dkny7 /ar ; 8mzvihe4o/rom rest and uniformly accelerating across the floor. The time and distance traveled f04r6nh m/vi/dd ou8yekga z;7rom 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 2xo9f; nszbb7cqgt/ +p(y xb;rest and uniformly accelerating across the floor. The time and distance traveled from the staryq tb/ s;c +9f;bz7npxgxb2( ot 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 fromry6as,xl, ;o.ufwag+ulq-(g rest and uniformly accelerating across the floor. The time and distance traveled6,;l. r(yq uagf+ax lg-o,usw 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 unifor0;a yahob8h x6mly accelerating ball. The position of the ball each second is indi6;hb8 ayx oha0cated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformm5(4 v jxl97xcbr r5es4wbe4jk/g (yrly accelerating ball. The position of the ball each second is indicated. kxy5w(r 5c4sjj7lv4 e9gm/(4bb errx
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus clown on a unicycl6me0v(ey7fqe6u,f:yw olfx* e moving in a straight line is shown in the gra6lu0f w:e* e,mvoyf(76f eyxqph below.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clown on a unicyq;73rd j bhq.c9oqq*;vq8qf vcle moving in a straight line is shown in the 7q*oqb.vdqqrv cf39 ; q ;j8qhgraph 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 the surface of the b:ya ,lr27+p8zkds:q qtq utn1 6i rx0earth

  03.11: The accompanying graph describes the moqvsyvoui n +m26pk+2 3tion of a marble on a table top for 10 seconds. For which time inte2 yi6 pmq++u vkvs2n3orval(s) did the marble have a negative velocity?

  03.12: The accompanying graph des/1wjzyc v wn dujz9;b33 64allcribes the motion of a marble on a table top for 10 seconds. For which time interval(s) did the marble have a positive accele/;ncwl zj3 jz 1w v34ld69yaubration?

  03.13: The accompanying graph describes the motion ocm87s:e q+q hrf a marble on a table top for 10 seconds. What is the marbles qscm78 e rq+:haverage acceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelerates jlz+(h4wcd/ tuniformly 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 do a-:hqo6x l.z4b7h c8gk op2pewnward 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 represent the moti8 p0qzj/w izs/on of an object moving w//zpqi0 s8jzw ith a constant speed in a straight line?

  03.24:The accompanying graph describes the motion of a na/5t ybhhu4 4toy car across the floor for 10 seconds. What is the acceleration of the toy caryh/ubt h4 4na5 at t = 4 s?

  03.25:The accompanying graph describes the motiopm8 j/ne3 y9f;g/sm*zcw+ qaon of a toy car across the floor for 10 seconds. What was the total displacqaoe jfmy+/9;nzs*wc p83/g mement of the toy car for the entire 10 second interval shown?

  03.26:The accompanying graph describes the motiwhl*ccd qd*hh. 3m+m .fvp2q/uha9-xon of a toy car across the floor for 10 seconds. At what times or time intervals must the d.mqhf m* c*x.davhhh3/9 -u+ cwl2qpnet force on the toy car be zero?

  16.03: A car accelerates uniformly from 0 km/hr to 60 km/hr in 4.50 s5wze 8y8r iy:;qc9js t. Which one of the following choices best represycr 8qwtj:si895e;y z ents the acceleration of the car?

  06.07: A car has the velocity versus time curve shown. Which of the fol:k9,3ybgds79 rog tqyn 2d.txlowing statements rega:,9gbt .gn72y sy xrd9otd3k qrding its motion is NOT CORRECT?

  07.17: A toy car moves along the x-axis according to thy8xx :x9ylr u0e velocity versus time curve shown to the right0r xxyyx8 u9l:. When does the car have zero acceleration?

  06.22: During an interval of time, a tennis ballsnn ov x -a 7i/or.k:mxbrl7we:nw- 54 is moved so that the angle between the velocity and thewen5.i 4on r7-: 7: /kmnbl-xvxwos ar acceleration of the ball is kept at a constant 120 degree. Which statement is true about the tennis ball during this interval of time?

  07.03: Two automobiles are 18 ks+u kly hjkt s8zsfqat)v51b66u5)50 kilometers apart and traveling toward each other.q bfl6t8hy)vss585z) u t+ ka1kksu6j
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 acceleray 8d2,z 4rn73cj hlctktion is positive and increasr3ldkh ,cz8ytjc72n4 ing

  07.12: The definition b -dw rh3f6*hoof average velocity is

  16.18: For any motion in two dimensions, which one of the following choices iz5.2ak ttyk9zg.cm p(e y; ha7dentka. hzk;amyc925 g z(pey.tt7 ifies quantities that must have the same direction?

  09.17: A toy car moves8zrto 82wln ukhi6k 5. $3.0\;m$ 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-tim)tzi, 8qavvu58ier p*n0a ou:e, $y\;vs\;t$, 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 m+.euc av;p2endm/i7 track for total time T in two p 2 m+mvu.ecap;i /d7enarts.
• 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 motion of a car on a sn/meecy h6 k( .rp5kwl9 d11iftraight track is shown in the diagram. The thick line represc5.6ywk kh(repfi 91lnm/ed1ents 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 gr v;a,5,wyl.fishg5l6v k;lpn aph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that t hv;ny g6v5l 5i,, sf;llwkap.he 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 b -cqhuqdax ar68 o18ij i *;vl+:bx.vty the position vs. time graph shown. For what time(s) iqvuj+x 86a c .h8tv;q:1a- lborxdi*is the speed of the object greatest?

  10.11: Consider the motion of an object given by the velocity vs. time g+33*0z pp gs)qe6ovtg yebj/-bw3 vljraph shown. For which time(s) is the acceler 0s3 /b ) l tjeyppgo6vezjvg3-w3+*qbation of the object equal to 0?

  10.24: By computing the area under the acceleration vs. time graph for a6g:f5fcg 6p0ou )t3huiq -xg-q r tmc7 fixed time interval of an object’s motion ft )hpg-x07ruqgi-o6:gctcum q 63 f5, what quantity has been determined for that object?

  11.08: An object moves along a horizo8nch bjlt) -mjy- k,q+i0 eww8ntal 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 in two par zo 20m tll;jzk2do +:s(qnyc+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 released from rest and reaches the ground in xqxj8zpx1 b 4p-:/oxka 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 groe tq-kqs2) *ny8 hdap-und 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 i g4 y.oq(gl3vt0m,kigraph of a particle moving along a horizontal axis is shown. What is the total distanceikgo ,.34yi tvm0ql(g traveled by the particle from t=0 to t=10s ?

  13.18: Which one of the following choices correctly identifies all of ozjx)j ds) 1k7w-v3sj the listed situations for which tsk-)7zdx s 3) wojj1vjhere 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 m(ryyr i f60(kooving 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 displacem 0(of ry6ky(rient from its starting position?

  15.17: An object starts at the origin an e5d2oh4dvx7 xx3wc7wb u+n2q d its velocity along a line vs. time is graphed. Which one of the following24d oqb ncv h7327wude5 +xwxx choices best gives the proper interval(s) of time for which the object is moving away from the origin?

  15.09: Two cars are moving to the right on a horizontal track, er94phnhlptaramlf :nvh 5(:*8lfh0go91 0zq ach with constant acceleration. At an instant of time, the informatih9( ghh*4hr9r8l:tfqlvnlpp 10aao05 nz : fmon 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 positci:,5 aw1 94a puyvkgh ,i,jvdion $x$, 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 the following choi sds5do96 ehu(ces correctly describes the relationship between the average speed of the truck tud9edss6 (o5ho that of the car?

  15.42: Which one of the following choduu2t8 n.1f rwices best describes the instants of time, at which the car and truck travel with the swt d1uunf82r .ame speed?

  17.30: Two cars P and Q, each start from rest at .w 4hsz-)eg,pt*c b)ffrlq h1the origin and will move along the x-axis. The acceleration vs. time graph for each car is shown. Which one of the fol1qrf4ph g .* hw ,)lcefztbs-)lowing 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 o:9wqg1o+l qm19hrx je:cx1 zwn a horizontal line is shown. At what time(j1rg9 o zqclwqx1:1 + 9wmx:ehs) is the object moving with its greatest speed?

  17.08: A mass moves along the x-axis following the position vs. time graph prjih+o;* n s/ycovided. During what time interval(yis *c+h/ no;js) does the mass have zero acceleration?