10.10: A particle travels at a constant speed ar u2y)n yeta29round 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 timl8oqis/1bh x2hu ju;4 e without reference to a particular direu1/x;uqil8 h sh2bjo4ction is called

  12.29: A vehicle completes one lap around a circular8ylua; ib63rem-vq5k track at an average speed of 50 m/s and then completes a second lap at -3av5 bymr6lki8 qeu ;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.b25rdzj 4c:0ulwlak w9- n+st80 m in 1.0 s at the constant velocity. If it continues, how far w5 9k0-u:n lcda2lrjwts+4bz will it travel in 3.0 s?

  05.34: A 40-kg boy is stationary on a 30-kg plank that is sliding*yxasshwc7j 8 sf0 q37 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 the left, relative to the plank. What is the speed of the plank relative to the pond now ssy s38ja0chqxw7* f7?

  97.18: A motorist travels 400 kmocttioh2czbg5z:9115 g zk 1s at 80 km/h and 400 km at 100 km/h. What is the average 1: kzscg5g5tbho9z t 12io z1cspeed of the motorist on this trip?

  97.20: This question refers tpq+rl0b yi xx.0j ax78o 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 x directiqpb yaj0+ xl.7ri x8x0on, $v_x$ versus time $t$.
During what time interval was the car moving towards its initial position at constant velocity?

  97.21: This question refers topi q)yf 6ylej:0q ura6a-7f*t the motion of a toy car traveling along the x-axis. The graph shown below is a 6u fftyqi ery aa6ql)-*j:70 pplot 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 qnc3gm+ k 8mkfu36hw 3vl ql56refers to the motion of a toy car traveling along the x-axis. Thev+536f wq 3m3lg lkmkq8h cun6 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 of a duck f:sq:enfpppe x f1g-f)40 vzs.lying due south for the winter. Af- sp.qefpsez) x nf 41:vpg:0t what point did the duck stop its forward motion?

  99.17: This question refer to the diagram below which shows the position and .**; :e czo b+idr ux2atxosp.elapsed time of a car starting from rest and uniformly accelerating in a straighx.* : 2z+o;xratopu *cdbs.ei t line. What was the average velocity of the car during the third second?

  99.18: This question refer to tn1* zetjb e-i b4mu.n;he diagram 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 entir -; .neu1bmtnb4ziej*e 3 second interval is closest to

  99.20: What is the shape of te.vkk b5z)/ n.4vjoz dhe velocity time graph for an object with the position time graph vvo nb)k4z. /zde .5jkshown in the diagram at right?

  00.28: The following question refer ( gp1k6lypx3h:y 8k jqto the following information. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits the floor and rebounds to its original height. : j6 38(1kgplhpqxyyk
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 t.rr y(4a5mj et/v w/gdo the following information. An ideal elastic rubber ball is dropped ./r/y4ta5jwr(g d v mefrom 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 can travel with a speed ofac x9eh+nj /6x $v$ in still water, which of the following trips will take the least amount of time.

  01.01: The question refetrd4xo8o)u 9)j. acrf rs 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 follorj)0x1 lrzffb cd25x0wing 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.
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 zt6 c7x 8uxebis(j6q: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 sx jjm+y9hil, if4 z8mfuijt5uut+p/*si3/ 6 mcenario: 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, acro14c-mgbwry.y+jagjwom9q () ;q 9 akfss a horizontal table top and off the table edge. Which of the following would best represent a graph of the magnij y1+gg9rb(afq)w-.comwa4 9mj q;y ktude of the ball's acceleration vs time?

  02.01: The graph represents the relationship between distance and time forrlfu meb fhdpc.jl rt./ t .;2/m:3eg5 an object that is moving along a straight line. What is the instantangl erlhfb2.ut/.:.fjt /mc;ep r5d m3eous speed of the object at t = 5.0 seconds?

  02.02: The graph represents the relationsh 2qmp2 p302m iszrv4rrip between distance and time for an object that is moving along a straight line. Bets23 v i4qr 2rmp2p0mrzween what times did the object have a non-zero acceleration?

  10.07: A small object is thrown straigh0y pv+jt7l0rqt downward on Earth with an initial speed of 12.0 m/s from a position 10.0 m above the ground. Ignoring air resistancel+j0q r0py7tv , the speed of the object when it reaches the ground is

  02.11: The diagram below repreq 1(hrwr(p +-filau3hsents a toy car starting from rest and uniformly accelerating across the floor. The time and distance traveled from t1(ur(- hrwilqhf p3 a+he 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 repre7v66.q kue sxnsents a toy car starting from rest and uniformly accelerating across the floor. The t7ukneq6s6v x. ime 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 uniformly ab d(h/ hhw*qty,8mixh c oma.v2o,ty7;x*d3 xcceleratin.2hd7 3axqbw ih;cvd/,*(h o mtt o,8*x ymyhxg across the floor. The 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 uniformly accfx ug- hc),bl7k*yai2elerating ball. The position of the ball each sxfcg l u27,)i b*ak-hyecond is indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a unifor);y.hc (q, es o8ndokqmly accelerating ball. The position of the ball each second is in ncqeh8,d; o()o yqsk.dicated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circuss1quso2th 5 , fb2k:zl clown on a unicycle moving in a straight line is shown in the graph below:1sqhok ,2 2 5flubtzs.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clownm1xv:9 ugbx2gngy*e.iiy/n) on a unicycle moving in a straight line is shoyi1nx.v x giu *:2b9yne)/mggwn in the graph 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 theblgre1f7hng * is,41v earth

  03.11: The accompanying gt9zsj9.f* 3skzs*jhd ;p snd yr-pk. 9raph describes the motion of a marble on a table top for 10 seconds. For which time interval(s) dd p.9f3skzk y. t9dsp *j*rj9s-n sh;zid the marble have a negative velocity?

  03.12: The accompanying graph dj n.m bkvey --28oh7*okb*.v,nl rcroescribes the motion of a marble on a table top for 10 secondl,cm y *knjr o*e-k8oo.v.7vn-2r bbhs. For which time interval(s) did the marble have a positive acceleration?

  03.13: The accompanying graph descr. du *b92p-ibq d5jpt4m d1(t4ix vwwribes the motion of a marble on a table top for 10 seconds. What is the marbles average acceleration betvdmtqpir4d1i wuw54 -9xj*(t db2pb .ween t = 3.3 s and t = 3.8 s

  03.20: A car accelerates uniformly from restn1) + 9 hoigh8w6r rshm62gvjq 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 with6ps -bu )d2erqi)rg y,21oe es 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 thec14 9 cbila7bq motion of an ob9a lcqb4b 71icject moving with a constant speed in a straight line?

  03.24:The accompanying graph describes the motion of a toy car axx+c8s c4u:wacross the floor for 10 seconds. What is the acceleration of the toy cc 48u+a x:cxswar at t = 4 s?

  03.25:The accompanying graph describes the motion of a toy car across the floorq 6f:kc5 kci4i0 bwf1la+5 cwp9* qs0fnig .vc for 10 seconds. What was the total g ab:0 c fw6cqi49s wci0+pvn5kfc qf.ik1l5*displacement of the toy car for the entire 10 second interval shown?

  03.26:The accompanying graph describest8 w6glmyn(0p the motion of a toy car across the floor for 1lt68y w(pgm0 n0 seconds. 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 oz0 di.mib9z8 zne of the following choices best re.zi 0z i8zdmb9presents the acceleration of the car?

  06.07: A car has the velocity versus time curve shown. Whir1gibemg /j69d,k v 9ich of the following statements regarding its motion is NOT CORRECigk emdb /i69jr,9gv1 T?

  07.17: A toy car moves along the x-axis acchleab*i2r/, z ylo ;a-ording to the velocity versus time curve shown to the right. z; ,l/hbla -ryi*a oe2When does the car have zero acceleration?

  06.22: During an interval of time, a tenk *kncnb/*x. (lfhuz)nis ball is moved so that the angle between the velocity and the acceleration of the ball is kept n .kfn(u)/ lxbk*z* chat a constant 120 degree. Which statement is true about the tennis ball during this interval of time?

  07.03: Two automobiles are 150 kilometers apart and tf2cmzcps1z(0 teh -:v raveling toward each other.zz pv2e: chs1t0cmf( -
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 accelera2q gzgu,u8a6q; v1 vpation is positive and increa ;v6ap28qa1ug,zugv qsing

  07.12: The definition of bdrz*)d:-9xd-0 riuxr +ryhg average velocity is

  16.18: For any motion in two dimensions, w+n:* mixo-oygtx 19ig hich one of the following choices identifies quantities that must ha+ gxt9 1migo:-y ixo*nve the same direction?

  09.17: A toy car moves 7 ovwfqn5 w-zckxp6bj* 0k*g;$3.0\;m$ 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-x83s .pb3ym*ci ngmle, $y\;vs\;t$, 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 sghx89db, tj -*tg grxua.-f*for total time T i9,gg-b h drastgj*u. t-*f 8xxn two 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 y*g+f ,w4whk2r hiuj, a car on a straight track is shown in the diagram. The thick line represents the velocitywujfhh,* y2 gi4+,rkw. 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 motiocb qyiy0ju(ntg)m8fty84s+ pa2-g a+n of a car on a straight track is shown in the diagram. The thick line repres tfc-q (y+8 t+smn a ig8jap04u2)byygents 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 nza uz)+ vb:1w) z7jbkthe position vs. time graph shown. For what time(z+wba) kb)jzz: 1un7vs) is the speed of the object greatest?

  10.11: Consider the motion of an object given by the velocity vs. time graphnv z w( )br5/7qjp2njj shown. For which time(s) is the )5 jnr(/vpz7wjq2j b nacceleration of the object equal to 0?

  10.24: By computing the area under the acceleration vs. taqc-tej d43w 3dht43k u72mhuime graph for a fixed time interval of an object’s motion, what quantity has been determwmt 3e-h2a7h 3 c3dtuku4qj4d ined for that object?

  11.08: An object moves along a horizontal line with incrd(aaqhq)pjh */ tpq6 0o0q5qleasing 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 rx21 +qrje (am/)pnnn5s1m ww in 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 and reaches the ground in a timh6d 0.n2zhsl ye of $2.50\;s$. Neglect air resistance. With what speed does the object reach the ground?

  13.03:A small object is released from reskwa7*t3uunhk4 e :jo3t and reaches 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 moving along a horizontal gcjs8ie2 ih6a9m0*5bzgtd 96; j iyfiaxis is shown. What is the total distance traveleizyj dg8 *ei 6a;26g99tmiihc s0f5jbd by the particle from t=0 to t=10s ?

  13.18: Which one of the following choices correctly identifisebc 23z )5ojx(t)cpiq5k pa6es all of the listed situations for which there is a non-zer3a 6t oq c)55k2z)jbips(ecp xo 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 s3 h-rb86ebrrb hown. The object starts from rest at time t=0 s. At what time(s rerb6hb 8-b3r) does the object attain a maximum displacement from its starting position?

  15.17: An object starts at the origin and i .r;ao-tpvno59abpvsqa cj381c72 gd ts velocity along a line vs. time is gracaaov;13 ap-87nqgb9.tvpr csj5od2 phed. Which one of the following 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 r .*mqvinvt6 : 4c f.zw*kkd3ba horizontal track, each with constant acceleration. At an instant of time, the i czt.wf6v*ni*3vq m .dkbk4:rnformation 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 yuwli kd :+v-s in8wjghq5 6px:h7j/5a 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 ttzk(9rt;g0wt)leqm 8tv f3(imr 5)b jhe graph, which one of the following choices correctly describes the relationship between the a;m) rbtrg tfw5 (9zqijm)0lt et83vk(verage speed of the truck to that of the car?

  15.42: Which one of the following choices best describem+whqf)t9; ao s the instants of time, at which the car and truck travel with the same speed mo;wha9t)f +q?

  17.30: Two cars P and Q, each start from rest at the origin and will move aj6uwm9 tha6:um e,fi8+8b cxj long the x-axis.af9embtx wj6:cm8,u+6j u h8 i 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 on a horizontal line is(iyyp+ mf4i5 t shown. At what time(s) is the object m yi(m ty4i5f+poving with its greatest speed?

  17.08: A mass moves along the x-axis following the position vs. time graphzj/ x-j6thm:lzzwa- rtg- 9.l provided.-6- ltwz t9. h-jmxzga/rjl z: During what time interval(s) does the mass have zero acceleration?