10.10: A particle travels at a constant speed around a circula6lt bwb:go73ij( do9ir 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 rqthb1( h5:bvp dq4ev,eference to a particular directebbhqv5 qv( :4,htdp 1ion is called

  12.29: A vehicle completes v4mextr+ +nj3one lap around a circular track at an average speed of 50 m/s and then completes a 3xr+ev4j mtn+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.p ;izbu2 /rgj;(e: wn.d2 thof80 m in 1.0 s at the constant velocity. If it continues, how far will it t/ p2jwg( roe2u ti;hd.z bn;:fravel in 3.0 s?

  05.34: A 40-kg boy is statig sej mim. :ll fj(nccd7w60/+onary on a 30-kg plank that is sliding at 5.00 m/s to thew (+mgn f /llj6jemc7c:s0 .id 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 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. What is kgu ;7oluucydmf+ :dwzo3w/4i6yz.3the average speed of the motoriky;fzu +o3odw43g :dywi7uu clz6m /.st on this trip?

  97.20: This question refers to the motion of a toy car traveling along the x fqd)fj 0z +m.gp(gdq6d4lj5 s-axis. The graph shown below is a plotqjj ( g5gd4)zm lsdd 60fqpf.+ 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 car traveling alo tqv5yt x.mxyz4;s2vqw5c7ytip0s/1 ng the x-axis. The graph.q x y y5452/tt vm xiqcs1vy7s;t0pwz shown 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 ref9 2-q(p:xo; hvoezel ders to the motion of a toy car traveling along the x-axis. The graph shown below is a plot of the car’s velocity in the x2x9;lqo -evh(d pzo e: direction, $v_x$ versus time $t$.
How far did the car travel during the first 15 seconds?

  99.15: Given the graph of the +s rtswues zx8.s638vvelocity vs. time of a duck flying due south for the winter. At what pointz6r. usv+esws3x88s t did the duck stop its forward motion?

  99.17: This question refer to the diagram below whichf8xy er,( .l 22d+3v lntrjzrm shows the position and elapsed time of a car starting from rest and uniformly accelerating in a straight line. Wh(,2 xzvt nrf8r ly e+32drjlm.at was the average velocity of the car during the third second?

  99.18: This question refer to the diagram below whbgn luk0c,;d. 94d ifjich shows the position and elapsed time of a car starting from rest and uniformly accelerg; j9ludi cn0db.4fk, ating in a straight line. The average acceleration during the entire 3 second interval is closest to

  99.20: What is the shapk3w tffvu49y7 h e)fgf1 nzy;/e of the velocity time graph for an object with the position 9nwhf ; yfevf/317y)kut zg4ftime graph shown in the diagram at right?

  00.28: The following question refer to the following /cuura6f7l ai3 38tyy information. An ideal elastic rubber ball is dropped from a height of about 2 meters, h 7i8cuyura /t63 fl3ayits 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 ;hxj2(oum -hwquestion refer to the following information. An ideal elastic rubber2wh m;jxou(h- ball is dropped 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 canxwlw,-wtctk6 a6m, ) e travel 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 following scenario: At fm6k ywu+. *zu$t_0$, 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 sc1s;gnminl,3-:db 7vn(is xyv./t jqz enario: 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 folc-2evo*p+/p d7 0uedtgj6msclowing 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 scenario:ka;6 6syh mb0aef6e7j 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 fn)kyq(3 8hcxthe table edge. Whichc3n yqx8fk )h( of the following would best represent a graph of the magnitude of the ball's acceleration vs time?

  02.01: The graph represents the relationship1d)ve/7je 1r mb7jzny i78bdf between distance and time for an object that is moving along a straight line. What is thei/7jedbb 1z 7en rf7)dyj 1m8v instantaneous speed of the object at t = 5.0 seconds?

  02.02: The graph represents they s3f1jg pfbi,,kme:5 relationship between distance and time for an object that is moving along a straight line. Between what t im5:fs, e,fby1 3kjgpimes did the object have a non-zero acceleration?

  10.07: A small object is thrown84s tx m1ui 5*nob6vtn straight downward on Earth with an initial speed of 12.0 m/s from a position 10.0 m above the ground ovxmtn16s4*5ut nb8i. Ignoring air resistance, the speed of the object when it reaches the ground is

  02.11: The diagram below represents a toy 8 57 l0esj pmedn7sy/lcar starting from rest and uniformly accelerating across the floor. The time and distance traveled from the start are shown in them ed8l7yenps05j7 l/s 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 startin6-aun y55bvuj7a4r 1 bygt 7otg from rest and uniformly accelerati 74 5 jguy7bou1a-rva5t6tbnyng 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 sta;t ntb0da2z5xxs 6blost3,l5 rting from rest and uniformly accelerating across the floor. The time and distance trav30nz6 ;txl bx5td52 ots, lbaseled 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 sho7reqj0vf(pt9 t 6/(0y bnsvvaws a uniformly accelerating ball. The position of the ball each / tb(nfry vvqeatv06jp9s7(0 second is indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uni *yl(i/g6rl):dk*t z,sy e m8uoyio +xformly accelerating ball. The position of the ball each second is indicated.gyrtye6 dox :uzisy)+,lk 8oi(**m l/
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus clo eace5 l;y6s8gyp v*,hwn on a unicycle moving in a straight line is shown in the grap6lpv*g, ye y8hea;c5sh below.
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 strpn0tsy9x53tp aight line is shown in the graph b3xt ppy 0n95stelow.
After 12 seconds, how far is the clown from her original starting point?

  03.04: When an object falls f a2 ;m. tlq0up-uhj6uvk3 ovr2v2)f)u rwesv :reely in a vacuum near the surface of the earth

  03.11: The accompanying graph describes the motion of a marble on a jhs:f-akw6q z3-: ff0(ysdvw .ooji .table top for 10 seconds. For which time interval(s) did the marble have a negatz0ohjd.fjkf 6q:( s.asv3fo--y:i wwive velocity?

  03.12: The accompanying graph describes the motion of a marble8,.,5civyrk wl o(vii on a table top for 10 secy ,,rcvwl8iv5iki( .o onds. 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 tablm 1)qbvjg3-q ke top for 10 seconds. What is the marbles qkbv)3m- jgq 1average acceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelerates uniformly from resvfjyg7ya1x . asw,wc 8w0 e94ot 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 speed 7o 2tr z++ +2lvll6uqlsfm wgj /cy-*xof $20.0\;m/s$, 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 rep/xv njv-0q 8:r, dej5buq:iqeresent the motion of an object movinqj 5qedruv0:8/ e:bq x-ji,v ng with a constant speed in a straight line?

  03.24:The accompanying graph debfx3c83to r n5scribes the motion of a toy car across the floor for 10 seconds. Whar3x5fbo3c t8 nt is the acceleration of the toy car at t = 4 s?

  03.25:The accompanying grap*db6oim tfe: 8ua kv-/h describes the motion of a toy car across the floor for 10 seconds. What was the total displacement of the toy car for the entire 10 second interval show*m vd 6/bu:ao8ie f-tkn?

  03.26:The accompanying graph describes the motion c u4;oz8u/:. f u(c)ziiwrizg of a toy car across the floor for 10 secondzgf 4izuc :(.8u uwz/)rii co;s. At what times or time intervals must the net force on the toy car be zero?

  16.03: A car acceler.va;t6r gr i8qfr 9o6sates uniformly from 0 km/hr to 60 km/hr in 4.50 s. Which one o ftg;96o .rr 68aqvrsif the following choices best represents the acceleration of the car?

  06.07: A car has the velocity versus time curve shown. Which of th1 w 8,u1m)u phn3yf czn,yfy7oe following statements regarding its motion is NOT CO,coz n83,1yy1hfp7 u fw ny)umRRECT?

  07.17: A toy car moves along the x-axis acvtqc2j8) 17+mzh f tkicording to the velocity versus time curve shown to the right. Whenzf1jmikqt h 8+tv c)72 does the car have zero acceleration?

  06.22: During an interval of time, a tennis ball is moved so that t 8te8do q50v ynvmo*k+he angle between the velocity and the acceleration of the ball is kept at a constant 120 degree. Which so8onv8mt ydkqe05 v+*tatement is true about the tennis ball during this interval of time?

  07.03: Two automobiles are 150 kilometers apart and traveling toward each o/fiecy58 zd u2ther.uedy i 5z2/fc8
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 thewcz/ cucw ;w7z+e: e3vk2n4z v acceleration is positive and increasingwe wzc c7+wevz2ukvc/:3n ; z4

  07.12: The definition ofaw(ib4n/hu u ) average velocity is

  16.18: For any motion in two ddw yt(b w7wav0 w)jx7iv*n 4(y w:,xwiimensions, which one of the following choices identifies quantities that must have the same directia*y tvvwbd,j:7w )x i (nw xw4wiw07y(on?

  09.17: A toy car moveslb4i/-x; 5u wclzzl 8n $3.0\;m$ 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-0g.r 0ghrz b0ftime, $y\;vs\;t$, 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*muyfz6a)p6 r7k d3 kw right along a one-dimensional track for total time T in twokapk6dr)wm 3 y*u6 zf7 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 graph for the motion of a car on a strau- j 412kgcn54ebvj4 ekfxq7tight track is shown in the diagram. The thick line represents the u4nc gk fje 152k447x vt-qejbvelocity. 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 a car on xtvx:uc*l ixft(+r .- a straight track is shown in the diagram. The thick line represents the velocity. Assume thatxl:xr+*- f i.txuc(vt 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 positiomgu p:(t+msw h258xkun vs. time graph shown. For what time(s) sm :5m(pt8 wug kxhu2+is the speed of the object greatest?

  10.11: Consider the motion of an object giveopbg0eveh 7ll,jl5 4w.ao 8e-n by the velocity vs. time graph shown. Forlle.lhwpg5 -o0ao 7e8b,v je4 which time(s) is the acceleration of the object equal to 0?

  10.24: By computing the area undyah 4rt vrv u w,li7op9)ni::9er the acceleration vs. time graph for a fixed time interval of an object’s m7w poi:r y:4lvi99 ,a)n uhrtvotion, what quantity has been determined for that object?

  11.08: An object moves along a horizontal line with increasing spee;fb7i kk8vc 5n -fbn:p1hj9 nzd.
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 partsf(nz*1h s9qi8-ptv1 d9v cpfn :
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 cple d 1w41/fmrxl5j(is released 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 reachebrq2j yan.(s c)8sm0 rs 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 moviv z.c1sv/jq 0sjma) v-ng along a horizontal axis is shown. What is the total distance traveled by the particle from t=0 to01/vj)ssjzv.mq- cv a t=10s ?

  13.18: Which one of the following choices correctly identifies aa(9qkmg+3zu gll of the listed situations for which therg +9m(a3uk zgqe 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 a-ziq00- l/b a:uzege0lmlml8n object moving along a line is shown. The object starts from rest at time t=0 s. At what timql/uzbig- e0la08 l :mem0zl -e(s) does the object attain a maximum displacement from its starting position?

  15.17: An object starts at the originxtp m0fq+f+; i 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 moving away fp0+ ;mx+qftf irom the origin?

  15.09: Two cars are moving to the right on a horizoxfa wi7g 7v56vntal track, each with constant acceleration. At an instant of time, the information about the cars is showvfi67g x7 v5wan:
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 position .xync.- tipez .w90nn $x$, 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 g.ntj:n30 holn raph, which one of the following choices correctly describes the relat 0ot. hnjnnl:3ionship between the average speed of the truck to that of the car?

  15.42: Which one of the following choices jsi s00 8bels1best describes the instants of time, at which the car and truck travel with the same spelj00e 81si ssbed?

  17.30: Two cars P and Q, each start from rest at the origin and wilqpnq+asd4hb 9elit -ov;--4e l move along the x-axis. The acceleration vs. time graph for each car is shown. Which one of the following choices correctly 9 b4-nid t+qop-vqla4;- es ehidentifies 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 movfc6qts* kpag m eg, ,-y:j:7mjing on a horizontal line is shown. At tjsyagq p*cmejf,-:7: mk, 6g what time(s) is the object moving with its greatest speed?

  17.08: A mass moves along the x-axis following the position vs. time graph pf11r. u fd3dn5efh q7 jh(u gig8wn(+jrovided. During what time interval(s) does jfn8hh1w+q5fr 1(ueu j.3 f( d7dggi nthe mass have zero acceleration?