10.10: A particle travels at a constant speed aroun3y3t 8ctoll , o7r0y1wn0uxoqd 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 referendds62lw5hzgx:webg-i i5 pmx /ghk 75gnq) 1( ce to a particular direci6gg )5x2 kqins 5gmgw -d5:e 1z(pd7 xh/hblwtion is called

  12.29: A vehicle completes one lap around a circular d-maf55 l9scdtrack at an average speed of 50 m/s d cfs5a-5d9 lmand then completes a 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 0.80 m in 1.0 s at the constant velocity. If i m-y):(ob ryiyt continues, how far will it travel iny mo)y (biy-r: 3.0 s?

  05.34: A 40-kg boy is stationary on a zez3wc)f +i(2 i3cqrp30-kg plank that is sliding 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?e2rpfzi(c)q zw3c 3 i+

  97.18: A motorist travels)mc-)ea81m 3qv mw ga dew4x6 dy:2ges 400 km at 80 km/h and 400 km at 100 km/h. What is the average spe3mcyvmd14xam )edse) qa:-68wg2 gweed of the motorist on this trip?

  97.20: This question refers to te 0hm2xoijn bg f6 0.oui2,kd+he motion of a toy car traveling along the x-axis. The graph shown belu0+h2emi o6g x idkfn ,0bo.2jow is 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 the motion of a toy car traveling along yx*f9 w2gonf4 -fb.cvv+b28zg 5 k wbathe x-axis. The graph shown below is a plot of the ca8-xg.fbb4gv2 *zc+oyww5v f 9fb2a knr’s velocity in the x direction, $v_x$ versus time $t$.What was the acceleration at 33 s?

  97.22: This question refers to;4o zn4 igfw9e the motion of a toy car traveling along the x-axis. The gra;fo w ezg94in4ph 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 velocitmj l.2.wg; agrxju8p0y vs. time of a duck flying due south for the winter. At what point did the duck stop itsg m algpj2;xu0rj.8.w forward motion?

  99.17: This question refer to the diagrty 4bw55-qq xqam below which shows the position and elapsed time of a car starting from rest and uniformly accelerating in a straight line. What was the a xw5bqyqt54q-verage velocity of the car during the third second?

  99.18: This question refer to the diagram below which shows the positionfw*ag(/27hh wt hq qj9 and elapsed time of a car starting from rest and uniformly accelerating in a straight line. The average acceleration*jqw/wt(9g f2 h a7hhq during the entire 3 second interval is closest to

  99.20: What is the shape of the velocitfxx(/,lb wzbe 3qg )./zroa0qy time graph for an object with the position time graph shown in the diagra )x/qqbx( r, zewgol3af .0/bzm at right?

  00.28: The following question refer to the following information. An ideal elqjq/-y o bhpl*y e+78eastic rubber ball is dropped from a height of about 2 meters, hits the floqj7 ebho+y /ep 8-y*lqor 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 the folla3dv jgg 2d-+wowing information. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits the floor and rj2gdgav+3d -w ebounds to its original height.
Which of the following would best represent acceleration versus time for the bouncing ball?

  00.39: If a boat can trav5 qob 9ak,ft8rel 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 y-k(t*bx3ou* id1h mbpp 2g9ufollowing 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 follku/cbc 03*cxt7kvf:)zkw*qs j v:8rk owing 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 follo r8 npod3gz*l4wing 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 : df:gre3kx dwe3hlr6*76 hc kfollowing 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 rampfey+-sa+:;ofnbkv 5j s; r wyzp2 y7z:, across a horizontal table top and off the table edge. Which of the following would best reb27p ynvf ykfez;sr:yjz-s5 :+w; o +apresent a graph of the magnitude of the ball's acceleration vs time?

  02.01: The graph represents the relationship betwee(vcipsp(zvm+.t 3 i+29voyym: yl cb9n distance and time for an object yz(v by9+vpso 293m.tc:plc(i +m yivthat is moving along a straight line. What is the instantaneous speed of the object at t = 5.0 seconds?

  02.02: The graph represeni.,0cg,c1).k diag oe ubu,ao ts the relationship between distance and time for an object that is movingu cg,ki0.b, i g)acaoue1o,d. along a straight line. Between what times did the object have a non-zero acceleration?

  10.07: A small object is thrown straight downward og0/y h/t-hqw k2,cpw+kq z)j+n rqe*in Earth with an initial speed of 12.0 m/s from a position 10.0 m above the ground. Igt qw )/qjhh rp2,qngkize0/*c+-yk+wnoring air resistance, the speed of the object when it reaches the ground is

  02.11: The diagram below represents a toy car starting from rest and uniform zip:l +a0m)4z niamv8ly accelerating across the floor. nza4 pz)+lia0vm:m 8iThe time and distance traveled from 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 represenzki */ 8v.frm,2guhznts a toy car starting from rest and uniformly accelerating across the floor. The tz, vu m.fnkhg8* /r2ziime 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 st,s/4 pyx*qbavv e jaxrfd *em+ (1x0/parting from rest and uniformly accel+xrdvxe eap1j/4 yfm*qs(xp*0/a v,b erating 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 uniformk.v: cxrjx f9ty; :h.mly accelerating ball. The position of the ball each second ixhvjf c;:tr:.. kym9x s indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformly accelerating ball.v sf8k+k5/+(gr kk9 yble;afu, znq d* The position of the ball each second is indicd8;kr(fk,v+*/+nul ye5gafqks 9bz kated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus clown on a unicycle moving in a straight line is 7 1qz-ctg0afny:w qy1w:ki7e shown in the graph nc 7y:kft:y-wq w7ez0qgia11below.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clown on a unicycle movj8t,d4js 1mcw7zn4 hs ing in a straight line is shown in the graph b m7z1,wt4jnjh s4cds8elow.
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 earceip39;ip ) zbxea(y0:wv- rg6 w0inip4c-zdth

  03.11: The accompanying graph describes the moti.yuy;mqt b2e+on of a marble on a table top for 10 seconds. For which time interval(s) did the marby;q2ym+.t ue ble have a negative velocity?

  03.12: The accompanying graph describes the motion of a marbleu4;3ztz tyw-l on a table top for 10 seconds. For which time-t wu4t;y3zlz interval(s) did the marble have a positive acceleration?

  03.13: The accompanying graph dfx1x:hcgba24; q v y.enxsn8/escribes 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.xsxhv:1egq x; c284nbnf/ . ay8 s

  03.20: A car accelerates uniformly from restb6ms t4 4p.afd 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, thro ahun3wetwb) *ww7icxf 4hq4 -*4va2 fwn straight 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 represent )c hl) .)yolx7n y;3fluhw xb-the motion of an object moving with a constant 3oflbux lh . 7-hyl))) yx;cwnspeed in a straight line?

  03.24:The accompanying gfzn :j *36lish/pbl /wraph describes the motion of a toy car across the floor for 10 seconds. What is the acceleration :iwpnjz b3/l /6lf*shof the toy car at t = 4 s?

  03.25:The accompanying graph describes the motion of a toy car across the jzfy.. ;b-dsy9)lt m bfloor for 10 seconds. What was the -bt 9jdlbym.ys ;.z)ftotal displacement of the toy car for the entire 10 second interval shown?

  03.26:The accompanying graph describes the motion of a toy car across the fl.)h)fd) hntbs oor for 10 seconds. At what times or time intervals must the net forcen.dh) s) h)fbt on the toy car be zero?

  16.03: A car accelerates uniformly from 0 km/hr to 60 km/hr in 4.50 osng1xfiz ):,tdds9k +**c lp s. Which one of the following choices best represents the accels*f*)1: +o gil dcd,ntpzxk9s eration of the car?

  06.07: A car has the velocity versus time curve shown.a pmdj;,db84 z Which of the following statements regarding its motion is NOT CORdmb;azp4,d j 8RECT?

  07.17: A toy car moves along the xup14h ir5 /5dar:fpo k4g*sfr*f qb:h-axis according to the velocity versus time curve shown to the right. When d4 f :u:bsgp5hqdiar* p 5*/4hrfkr f1ooes the car have zero acceleration?

  06.22: During an interval of time, a tennis ball is moved so that b kp,bc+ni*my) 14ypwiz08ndci b -()gap b9bthe angle between the velocity and the acceleration of the ball is kept at a const1 yim ,b)n*wzy9kidppa+bc i- bnb)g(8c4bp0ant 120 degree. Which statement is true about the tennis ball during this interval of time?

  07.03: Two automobiles are 150 *erm/yw1 huvey ly 8o)7fw,6j kilometers apart and traveling toward each other.uoe1m)jy w,v*rw/h l e yy7f68
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 acceleration is kc:yo cs)k )nee8tvoahi;:c . oi2 3t8positive and incriy i8ho:)kk.v3)o2 ceosc;:te8 nt aceasing

  07.12: The definition of average velocity 8p0uy2idu3*p iir-d. un 98ntz 5y gxndtj-p :is

  16.18: For any motion in two dimensions, +0xww, (2fuhm ; u,,o/u gxnigcvs7kvwhich one of the following choices identifies quantities that mussg7wu0,i ,c/2 ;ungfvkh +(wvmuo x, xt have the same direction?

  09.17: A toy car movesof;jn9: zrzkp 9;2n 4eo atfw( $3.0\;m$ 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-time, i2r3 460lzyq cw*l zwx$y\;vs\;t$, 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 for total ti t o+7bqm)3vq2 hbmeicf5,;p zme T in t eovh)c5, m2ibpf;73m zb q+tqwo 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 grh3.rk;9vmgg+oqx tz /d; wa3kaph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car starts at origin vga txkw/zh k+do;g 3;.qr93m$x=0$. At which time is the car the greatest distance from the origin?

  08.24: The velocity vs. time o,m.p v 1ha(sa(m q7hxh, q-fxgraph for the motion of a car on a straight track is shown in the diagram. The thick line representsqs(mh h,x.1,qf xa p 7a(o-mhv 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 mot.tf1ievi(h 7y ul 6qotfo(+do9)o7jeion of an object given by the position vs. time graph shown. For what time(s) is t)f itd.i l7o( +7oq6yueho v tjeo(f19he speed of the object greatest?

  10.11: Consider the motion of an object given by the velocitb28fue3bgo(wo g)3 akn jvp*sz -y/f1y vs. time graph shown. For which time(s) is the acceleration of the objejn wa 3 -zbv1egpkbuoy*)g/(f832osf ct equal to 0?

  10.24: By computing the area under the acceleration vs. time graph for a fixed l5lc3 zs;vzm+i;yq tu 2l5+kktim5+uilcq;zm s zkl+vy;32k5t l e interval of an object’s motion, what quantity has been determined for that object?

  11.08: An object moves along a horizontal line with increasing speeqc4u7b0;ubx md.
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 tripn3 ,aik/sc0 le 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 relbxtqj:wdbw hid2 yf3u8 2e/08 eased 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 isdv+ c3,ua;ygyo (nz9dhx6:/1vqpn to released from rest 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 horizon+xpc l244 xj8oaydh,etal axis is shown. What is the total distance traveled by the particle from t=0 t+dh ay 4exc 8jloxp24,o t=10s ?

  13.18: Which one of the following choices correctlyg qwg 90+qwp)ch(yg14x on* li identifies all of the listed situations for which there is a non-zero accelq gg il9gn+wh1 y( ocwqx)0p*4eration?
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 acceleratiovv 1q+(y wg1snn vs. time graph for an object 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 from its starting position? vq1sn wyg+1v(

  15.17: An object starts atpn za cx.yt2e6/ yi((z the origin and its velocity along a line vs. time is graphe py2y/czit ( 6(.zaxend. 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 tj p e/x2jo6b1bo the right on a horizontal track, each with constant acceleration. At an instant of time, the informatj2ebp6 j/1o xbion 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 positioo m4i-sv9) jap*uv*iln $x$, 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 gy d+fw6 ytwech+6a6l2raph, which one of the following choices correctly describes the relationship between the average speed of t+hcaf 6d6ye2w+lt w6y he truck to that of the car?

  15.42: Which one of the following choices best describ*lb ym+3i8f .mmqy xy:tk-2qbes the instants of time, at whicqm :+ym3l qbf.8 t* xyb2yi-kmh the car and truck travel with the same speed?

  17.30: Two cars P and Q, each start from rest at the orj .d)f3o )/;a 1wihkwyt(+jlhdh8k iwigin and will move along tj o ih/a w+k1 8y)j3l(id)w.k dhhf;twhe 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 speeds $v$ and the positions $x$ of the cars at time T?

  16.02: The position vs. time graph op.5e;w st gm; tmdd.0degu 5/wf an object moving on a horizontal line is shown. At what time(s) is the object moving with its wwem; egdgd.p05u5 td /.ms;tgreatest speed?

  17.08: A mass moves alo4kbix1u,+ hgz,wqo o .tm ;o,rng the x-axis following the position vs. time graph provided. During what time interval(s) doesh,bozmior, x1g,w4; ut +.koq the mass have zero acceleration?