10.10: A particle travels at a constant speed around a circular pathro. z03y5yat;ku6 s kg 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 ul3kjdps jf. 45nit time without reference to a particular directdf p.4s3kj5 jlion is called

  12.29: A vehicle completes one lap around a circular track at an av0: s 6v:2;dngo0 wcpmdl6biflerage speed of 50 m/s and then completes a sec0w:d pvm n6obl6sg:2lfc 0di ;ond 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 move3gu s vb0a7ean ty0c2vwhg;a8s m3):is 0.80 m in 1.0 s at the constant velocity. If it continues, e0i2)agt3v7y:8 m3w aucvb;n g0hssa how far will it travel in 3.0 s?

  05.34: A 40-kg boy is stationary on a 30-kg plank that is sliding ae e,vrb-2*iq fr-f5qi+ t+mc 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 plt5e qfrerf c*v+i , 2-+bq-iamank relative to the pond now?

  97.18: A motorist travels 400 km at 80 km/h and qirocf: t)wcgvwkp+*nsdy :x4 /x.). 400 km at 100 km/h. What is the average speed ofw4 k ) .q)vxicf/cwryotd:*:+xgs.p n the motorist on this trip?

  97.20: This question refers to the motion of a toy car traveling a68+ in4 rjts/yi, gszclong the x-axi yijzcrn4t 6 i,8s+s/gs. The graph shown below 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 thhrs:i +wx d65eo2t8tse motion of a toy car traveling along the x-axis. The graph shoxw2:ot 5td+sehsr 68iwn 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 refer 5 oz.,uvsbhpbj u5ah;:l3( ras 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 theuh p rah:uo5 (3zbv.js5 lb,a; 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. tx q)(kms -7 n3,zltecvime of a duck flying due south for the winter. A-zl (7mevk 3qx ncs,t)t what point did the duck stop its forward motion?

  99.17: This question refer to the diagram below which shows the positif vk48u7odspct9ud7- :tu9q oon and elapsed time of a car starting from rest and uniformly accelerating in a straight line. What was the average velocity of the car : 9dk4ct7o7qufo sdv-9t pu u8during the third second?

  99.18: This question refer to the diagram below whicy2 oj,g/xlsb 8i/em* a+8 ujbah shows the position and elapsed time of a car starting from rest and uniformly ,j ye/o2 bm88bi*+sugaxj al/accelerating in a straight line. The average acceleration during the entire 3 second interval is closest to

  99.20: What is the shape of the velocity time graph for an o9 5byue(d5 eydbject with the position time graph shown in the diagram at right? u ybe5(dey d59

  00.28: The following question refer to the foll wwdoni96*gu97sevte) ef.)f owing information. An ideal elastic rubber ball is dropped fro 6dwun eof 9gs)et9)7ei vf*.wm a height of about 2 meters, hits 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 t2dk 0bqwed*73e pr nf*o the following information. An ideal elastic rubber ball is dropewnd0*q3 dbfek2rp 7*ped 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 can travel withgc(tcf: qi8v,y8ta e6ze yc, 3 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 foll9t44n e.x h mjqqwx i 9,zbgoa+pl/2-sowing 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 th.* 0k, v)acptfg:u sace 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.
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 scenaruju fp3cd e;a+p-b pp(2r9 s /mtbsh;-io: 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 followiec,f gzk;*tj -rffc .5ng 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 ramp, across a horizontal table top andu brbc/8 6cmqm*lb -v2 off the tablel/c*6u8 rbbmcqb2m v - edge. Which of the following would best represent a graph of the magnitude of the ball's acceleration vs time?

  02.01: The graph representsh1n+--mpvjy8gju :8his h -wqtc;ie 0 the relationship between distance and time for an object that is movingcv18n:+ mihtu- hhgi8- -q;j0pws eyj along 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 timevnryf*k0k9q ( for an object that is moving a0fr9 nvq*k(yk long a straight line. Between what times did the object have a non-zero acceleration?

  10.07: A small object is thrown straight downw 0 y sw(rrittdb8n(b.0ard on Earth with an initial speed of 12.0 m/s from a position 10.0 m above the ground. Ignoring air resistance, b8.0d0 (ib(tynrtwrs the speed of the object when it reaches the ground is

  02.11: The diagram below represents a toy car starting from9x; dnm8euvq.9 +dib ox*f0ys rest and uniformly accelerating across the floor. The time and distance traveled from the start are shown yvb0 m d+8xu nx*fse.q;o 99diin 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 fro vzn eb(l:tc9-m rest and uniformly accelerating across the floor. The time and distanc l(-:vtcez9nb e 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 h hu5kge. pu+7from rest and uniformly accelerating across the floor. The time and distance traveled from the start are shown in the diagr+u 5gp.7hheukam.
What was the instantaneous velocity of the cart at 96 centimeters from the start?

  04.08: The diagram shows a uniformly accelerating ball. The/uzjy . .m e3cfj i (d7(nb;.g0ehdpdr position of the ball eacj(;y3jug..pm7d chbe0in/dr .(ze fd h second is indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformly accelerating ball. The positio*qzb9u rp 5r2t m)+ff6/ qkswgn of the ball each second is indicattgum sbq fr95wrk/p)q+z6 *2fed.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus clown on a w i5;yml*mm zn;7b)fzunicycle moving in a straight line is shown in tbym)*75; infz lm ;wmzhe graph below.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus - 8lkddwk4hq7i yqd6+ clown on a unicycle moving in a straight line is sk4dq8 kl76w+d -yqidh hown in the graph below.
After 12 seconds, how far is the clown from her original starting point?

  03.04: When an object fallsbq+ie; ql09kuec3-o o freely in a vacuum near the surface of the earth

  03.11: The accompanying graph describesq 6+vabs v4 w*nz:n6 ltkyoud0-r8 z7q the motion of a marble on a table top for qnk*v6:d6 4 sby uor8+7l wzv 0anzt-q10 seconds. For which time interval(s) did the marble have a negative velocity?

  03.12: The accompanying gudjpa c.2 4w3ouh;t :lraph describes the motion of a marble on a table top for 10 seconds. For which time interval(s) did the marble have a positive acceleration? pl do:wtu2.3hac;4ju

  03.13: The accompanying graph describes the mot1atze3z3hj +/8mef8p ttf0drth )na3ion of a marble on a table top for/ mh+t edrt8)ah3tz jft nz31f0a8p3e 10 seconds. What is the marbles average acceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelersmphgtr 6ade0 0f*e(9 ates uniformly 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, throlweo hcq, oevww;9 is+.)z y2/wn 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 corhrl ,ne 8qh(nqcjqmmxwbx *)c3729*p s2xt 2qrectly represent the motion of an object moving with a constant speed in a st 2 2* 9xx,nqch27qcbrx(m)ml jqqh ts3wep*n8raight line?

  03.24:The accompanying graph describes the motion of a toy car across the ger -l,anj7 s1wl7:fxfloor for 10 seconds. What is thj ,7-gfsw:7ar1xel nle acceleration of the toy car at t = 4 s?

  03.25:The accompanying graph describes the *cq i6.w*b xhimotion of a toy car across the floor for 10 seconds. What was the total displacem **6i.cbwi hxqent of the toy car for the entire 10 second interval shown?

  03.26:The accompanying graph describes the motioupjh,* x e,w9jn of a toy car across the floor for 10 seconds. At what times or time intervals must the net force on the toy ca,x* ,ehj9pujw r be zero?

  16.03: A car accelerates uniformly from 0 km/h:ln* /vl;y:gb 4xghml r to 60 km/hr in 4.50 s. Which one of the following choices best represents the acceleration ofn*/ gv;h l:4lm :gxlby the car?

  06.07: A car has the velocity versus time curve shown. Wrg 9kyjw9op:svdb pc /5l1y+2hich of the following statements regarding its mo9 j kppsboc5gv9 r+ywyd/:l12tion is NOT CORRECT?

  07.17: A toy car moves along2eo 1enhvn1-;afy b-w ly)y5s the x-axis according to the velocity versus time cu hw-yeyn;115y-fnbe2 a)volsrve shown to the right. When does the car have zero acceleration?

  06.22: During an interval of time, a tennis ball is moved so6 mmop, f7pk2k that the angle between the velocity and the acceleration of the ball is kept at a constant 120mfpm7, 26kokp degree. Which statement is true about the tennis ball during this interval of time?

  07.03: Two automobiles are 150 kilometers apajaeo5dxn09 47:hg-ad mp-uy urt and traveling toward each other.ad07x-a dypeg5h9 mn-ojuu4 :
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 positive and ieojt*ldd wsm gg6w2 29(e,+y yncreasingsww2gtmgj y96 lyd* eoe2(,+d

  07.12: The definition of average velocits ags,e1f.6co - :pcx3t0p, d ljhafg3exr /0uy is

  16.18: For any motionr (+ i9ai +pwcb/p,hfn in two dimensions, which one of the following choices identifies quantities that must i/a(pbp ni9fw + +r,hchave the same direction?

  09.17: A toy car movk y3ksdk2 ku6-dp.g 4je 0p)bses $3.0\;m$ 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, k-:xpmrc ,-uk $y\;vs\;t$, 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-dimensiona,o) 4q;z) alxprkh.nwl track for total time T in two ;)z, 4 lxqnoap wrk.)hparts.
• 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 motodkkx 87u83o cf1r caw2++dqa ion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car stkfacoux7r d +8o81qk+3w2ca darts at origin $x=0$. At which time is the car the greatest distance from the origin?

  08.24: The velocity vs. time graph for he sic1a 09bzyez. o*8the 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 originay8 cbseohz1z*9e .i0 $x=0$. What is the average speed of the car for the 10 second interval?

  09.08: Consider the motion of an object g1ek1 v*+)xd 7dzxomoriven by the position vs. time graph shown. For what time(s) is the speed of the object greatest?x1*7 m dodr)exvo1z k+

  10.11: Consider the motion of an object given by the velocigas9/5ln7 (aoq. sg yfty vs. time graph shown. For which time(s) is the 7. sagas9l g(o/qyn5f acceleration of the object equal to 0?

  10.24: By computing the arep5jl+rdc )x(qh7 eq- ka under the acceleration vs. time graph for a fixed time interval of an object’s motion, what quantity has been determinhpq7 5j- qdrkel(c)+xed for that object?

  11.08: An object moves alon m8dws .,hkl3h(z6ij ueq+h,w g a horizontal 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 t6 l,sv(j+w cs 0rp5osparts:
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 xr+5a abos1rah7v+z dm+ (6dhdvu/ o.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 r96qghs(:hlm ku,; js49xd ch yeaches 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 ghlw,alx/0r4c l v1.lmraph of a particle moving along a horizontal axis is shown. What is the total distance traveled by the particle from t=0 to t=10s lv,l x /0aclrw4 .1hml?

  13.18: Which one of the following ywb (0vdncb)3 ,i ln kd(up)3gchoices correctly identifies all of the listed situations for whic) ycbd(ing0n3 (pd)wlubvk3,h there 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,ur1x+v2pi ww . 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 startirui21vp +,xww ng position?

  15.17: An object starts at the origin and its velocity al1: u/z v fwdyk(qh2x6qws2ta n-j,kn,ong a line vs. time is graphed. Which one ofwz- xvyq,j6 f qh :k1/ (n2u,kwdnsta2 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 rigo,spj 4dyuu ).ht on a horizontal track, each with constant acceleration. At an instant of time, the in4pudy o s.j,u)formation 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 has4rg)9*do0 zb gr)0 dq3hpb mjaxo+5fy 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 tc m:toeblnb2dm*,e: py (f4k3he following choices correctly describes the relationship between the average speed of the trbefo(cnm,2p 3d:4etb lmk y:*uck to that of the car?

  15.42: Which one of the following choices best describes the instantspxykr g *t-lp1d6gzw+6 uao.7 of time, at which the car and truck travel with the saxp 6ozupwa* 6rt1-ykl dgg.+ 7me speed?

  17.30: Two cars P and Q, each start from rest at the origin and will move alonwr2 by.wk3 xn1tz d5o0g the x-axis. The acceleration vs. time graph for e01 2wyxd nwrtb5o. zk3ach 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 grapzc)b yq x7.h f4p*lf,lh of an object moving on a horizontal line is shown. At what time(s) is the 4ylb c)7hzpqlf.fx* ,object moving with its greatest speed?

  17.08: A mass moves along the x-axis following the position v 8v5uv8t7l3tptci yt2 s. time graph provided. Dv75tuiv8lctt p 832yt uring what time interval(s) does the mass have zero acceleration?