10.10: A particle travels at a constant speed a5 a+rwsj,l .kgwy; .wkround 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 witho9k3 ;b2s kctfrut reference to a particular dirkbf9r3stk;2 c ection is called

  12.29: A vehicle completes one lap around a circular-oc*t6o0me ;pkdzj a( track at an average speed of 50 m/s and then completes a second lap at an average speed of6etpm d *oz(a0-;jokc $V$. 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 velzi rprt6js/yex.x,9 :ocity. If it continues, how far wiryxj 6 tisrp e/x9,z.:ll it travel in 3.0 s?

  05.34: A 40-kg boy is stationary on a 30-kg plank that is slidiv,2qlt4 a 2abhng 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 pahb2,v4alq t 2lank. 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/w50 dn cw9dm5eh. What is the av55wcnwe 0d9m derage speed of the motorist on this trip?

  97.20: This question refers to the motion of a toy car traveling along pvysx: (i.l d6the x-axis. The graph shown below is a plot of the car’s velocity in the x direction:p ysvd. x6i(l, $v_x$ 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 6txxejm ;*1 )o,hvczpbroyz qlyi55 ;7gu3( j along the x-axis. The graph shown below is a plot of the car’s velocity in the x d;1e; (jr3 xvp)6zyo mqiy7bjh5 zxlco *u,5gt irection, $v_x$ versus time $t$.What was the acceleration at 33 s?

  97.22: This question refers to the motio3.xk .o a0z w.beu3ktjn of a toy car traveling along the x-axis. The graph shown below is a plot of the car’s velocity in the x direction0 oau.zxb. 3ej.tk3w k, $v_x$ versus time $t$.
How far did the car travel during the first 15 seconds?

  99.15: Given the gra7xwndyacfg9 23 s +re:ph of the velocity vs. time of a duck flying due south for the winter. sxdg2e37ca +: y9fnwrAt what point did the duck stop its forward motion?

  99.17: This question refer to the diagram below which s 1kec/gz7u cxu,3 xyz6hows the position and elapsed time of a car starting from rest and uniformly accelerating in a stu7ze gkz/y cxc631u,x raight line. What was the average velocity of the car during the third second?

  99.18: This question refer to the diagram below which shows the posr-crt6o,h 0 ifition and elapsed time of a car starting from rest and uniformly accelerating in a straight line. The average ac r6c io,rtf-h0celeration during the entire 3 second interval is closest to

  99.20: What is the shape of the velocity time graph for an . wg*+l0jfxyb;- puct object with the position time grxc *bg l ptyu.jf0;-w+aph shown in the diagram at right?

  00.28: The following question refer to the fol ql2o 91fiw lf25grt9dlowing information. An ideal elastic rubber ball i 2lgr9i 5fol f1t2wd9qs dropped from 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 to the g(, 7vqxmdyw8following information. An ideal elastic rubber ball is dropped from a height of about vy78xw (qgm, d2 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 trrwfr37e -w; nwavel 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 followin 6,)tkkt;g1 :s* * doqgzjkukab;-evqg 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 xu.24ih(z rt jfollowing 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 fonx )dzf87 1h687zo i)venfdqvo(m, jzllowing 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: gv0 2pjp.em) cAt $t_0$, 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 tabqb+n4fh:xw u0le top and off the table edge. Which of the following would best represent a graph of the magnitude of the ball's acchb uwf4 x0nq:+eleration vs time?

  02.01: The graph represen87 )g esau +vlaugp/,mc .xdg;ts the relationship between distance and time for an object that is moving along a straight line. What is the instantaneous speed of the object a /gugu.mpg)8 ;l,7vxs e+adc at t = 5.0 seconds?

  02.02: The graph repr/k 49i +txqgob0fc.dresents the relationship between distance and time for an object that is c9df0o q/r 4k x.+bgtimoving along a straight line. Between what times did the object have a non-zero acceleration?

  10.07: A small object is thrown - (rt:rkx2q zastraight downward on Earth with an initial speed of 12.0 m/s from a position 1 rk:t (r2aqz-x0.0 m above the ground. Ignoring air resistance, the speed of the object when it reaches the ground is

  02.11: The diagram b(g -cb6 vncx6 fxtes k4g:4rp;uzj++below represents a toy car starting from rest and uniformly accelerating across the floor. The time and distance traveled from u 4ec+nx jv+k:b tg;-gsz6cx6rfp(b4the 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 rest azwc -k(akq. z o3+q;qhnd uniformly accelerating across the floor. Th +3ok(z wa-z cqhqqk.;e 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 starting frol 8m(s :.db,l:lnopd am rest and uniformly accelerat:(8,bpomna.sdlld l : ing 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 accelerating ball. Tvkvz 3h5t(yjug xdy6nu;,cyc )9b06dhe position of the ball each second is indicate9ugt6u jn)0,kvdvxc(d3c5yzhb y6;y d.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformly accelepnk +5 zv1gx-8 8iknzwrating ball. The position of the ball each seconnp i5zv 8z g1k+8x-wknd is indicated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus clown on a unicycle m ah a,jte)ad+7a(rj5 ooving in a straight line is shown )j aj+aa7(odtr5hae ,in the graph below.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clown on a unicycle moving itoh : lq64vi.:vtz i,in a straight line is shown iti4vqii: 6 z lt:.vh,on 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 the earthj+ou 2d6mw;opesp7k 5, o1aze

  03.11: The accompanyinw484 ske,huav g graph describes the motion of a marble on a table top for 1, u4ks4ha w8ve0 seconds. For which time interval(s) did the marble have a negative velocity?

  03.12: The accompanying graph describes the motion of a marble on - (b c. obgn :d(ovj*k5wt*b9bs/smsla table top for 10 seconds. For which time bds5-jcbtwb m**l :k( o9(ng.o vssb/interval(s) did the marble have a positive acceleration?

  03.13: The accompanying graph describes the motion of a marble on a table top f4 rv 7jmlcfz8mw4:w:f 83k1sszub i2c or 10 seconds. What is the ma kmvzw4 u :i8j 4zfr37c 8fcwsm1sl:2brbles average acceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelerates uniformly from rest for a time of zcr.*zp8s oa)7jnp r3 $2.00\;s$ through a distance of $4.00\;m$. What was the acceleration of the car?

  16.06: An object, thrown straighph rr4dwfjk l4 x 4up(x,3/(i-rx, brqt 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 f zhihucd92y(tg6 m13r6d- xmg ollowing graphs could correctly represent the motion of an obje-g1iudy6gr 92m6 th c3( xhdzmct moving with a constant speed in a straight line?

  03.24:The accompanying graph describes the motion of a toy car7 -vbo xe22ib6n n7pxw across the floor for 10 seconds. What is the acceleration of the toy car at t = 47ivpoxne22- n xb76bw s?

  03.25:The accompanying graph describes the motion ov 2hvr2b : *k fwzsh98ch5mmr8f a toy car across the floor for 10 seconds. What was the total displacement of the rrvb8k wf*2zh h:chmv 92s8m5 toy car for the entire 10 second interval shown?

  03.26:The accompanying graph describes the motion of a toy car across the flootpc+ xi ea73.jyj96cyr for 10 seconds. At what times or time i+ey7i xy 6c jca93pj.tntervals must the net force on the toy car be zero?

  16.03: A car accelerates uniformly from 0 km/hr to 60 km/hrkm3dzpujz*e ,,cl 0h0 in 4.50 s. Which one of the following choices best represents the acceleratione,z0z*kpu0m,l3hjcd of the car?

  06.07: A car has the velocity versus time curve shown. t n:uh(ld 7a2dn ltya:3 ke-4fWhich of the following statements regarding its motion is NOT CORRECT? :3h 7 dtn2dfan(e-ly4ta:l ku

  07.17: A toy car moves along the x-axis according to the v ut:3y buv;p/wn0rki7elocity versus time curve shown to the right. When does uu:3iyp/ rb7v 0k n;wtthe car have zero acceleration?

  06.22: During an interval of time, a tennis ball is moved so that the :4 z3or)yty8 edv(xtvf,:yueangle between the velocity and the acceleration of the ball irvezt:)x :y ,efy (ut8od43vys kept at 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 travd j cnd* 67kan rsz7z1w*yqwhj6/zp94eling toward each other.461d*zw/wj9rk*ypzaqhjs7dz n n c6 7
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 acceleratio , /ovn+-4ras-c1cxwpvbjg2 r n is positive and increasinvar/ po x+jsvr4nb cw,-1c -g2g

  07.12: The definition of avera rmf f+whcqfc9+vt0my vs,;j a8,5m,kge velocity is

  16.18: For any motiowdjc4tw-m)86qu. tmi n in two dimensions, which one of the following choices identifies quantities that m -84wut miqwj)t.d6 cmust have the same direction?

  09.17: A toy car movesf/ tdllm.c2i 1 $3.0\;m$ 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,nc +aj tun9; (ki.oqy, $y\;vs\;t$, 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 alongp. q tg-/pvsv6 a one-dimensional track for total time T in two part gtsv6q-vp .p/s.
• 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 thequ.tp1r5)q iq -6 n0uk(v8r+yqjq fhsd +po7q motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. As+ v-n .q+0tqdu(roqyfsj) upqrp7kqq ih8 1 56sume 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 a straighvl0l1w0y-ex 2jq nxo, t track is shown in the diagram. The thick line xo0q y- x21jlenlw,0 vrepresents 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 the position vs. tib 8 zk: /eekmqy ogjd))*.z35ck v1gmkme graph shown. For what ekb g.:5dyv8mkzmg3*1q oc)ez j/k)ktime(s) is the speed of the object greatest?

  10.11: Consider the motion of an object given by the velocity vs.zvv ru7 owt4:)0vn.ds time graph shown. For which time(s) is the acceleration of the obo 7n:vv .4u tvd0s)rwzject equal to 0?

  10.24: By computing the a r9k yfhae+.8fvxgew94q1 hz 2rea under the acceleration vs. time graph for a fixed time interval of an object’s motion, what quantity has been determ2 h94er af zfvgwke89x qhy+1.ined for that object?

  11.08: An object moves along a horizontal line with increasing o2 i. r5gv3wkwspeed.
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 tril7kw8oomee 9fwk70 mh)zcj2.mk ) l: dp 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 timd -bj5zeds) re99 ujb7jx:)hge of $2.50\;s$. Neglect air resistance. With what speed does the object reach the ground?

  13.03:A small object is released from resv6dxnsy laqmx8 sa8ob), 612 st 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 mz2eq0h1k qf -aoving along a horizontal axis is shown. What is the total diq21afqezk 0 -hstance traveled by the particle from t=0 to t=10s ?

  13.18: Which one of the fo 35na: ye3 .hufjoluu8vbg/( mllowing choices correctly identifies all of the listed situations for which there is a non-zero acceleraav.u fyou3/ gljbn(um8 5:3 hetion?
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 abf,jv x6t2,ueyo( h ,u line is shown. The object starts from rest at time t=0 s. At what time(s) does thvhjx,,yfu t bue(,6o 2e object attain a maximum displacement from its starting position?

  15.17: An object starts at the origin and )bme jo6 m*i1sa8r3pl its velocity along a line vs. time is graphed. Which one of the following choices bese8j 3ra)sl *6 mmipb1ot 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, each 10u w l gt yz266z+,wkhdggf;zwith constant acceleration. At an instant of time, the information about gzw2d6yfz zgg6 1wtuhkl ;+ ,0the 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 position tmv x4k:w1c; clfw7 d6$x$, 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 38rxk 2ky-pz.9j jacbzdr ) *6*zhcurof the following choices correctly describes the relationship between the aveb8-pyzau 6jr)r2*jxh cdkkr 9*z3c z.rage speed of the truck to that of the car?

  15.42: Which one of the following choices best describes the g) s ngog+ql-,instants of time, at which the car and truck travel o,gs-qln) gg +with the same speed?

  17.30: Two cars P and mm*l 7h-p,grsQ, each start from rest at the origin and will move along the x-axis. The acceleration vs. time graph for each car is shown. Which one of the following choices correctly identifies the relationship for both m s,*7mhrgpl- the speeds $v$ and the positions $x$ of the cars at time T?

  16.02: The position vs. time grarn *;wod0zn h4ph of an object moving on a horizontal line is shown. At what dn rn *04z;howtime(s) is the object moving with its greatest speed?

  17.08: A mass moves along the x-axis following the position vs. ti3rwn/f 6j/k i upyajx2fc)k2/me graph provided. During what time interval(s) does the mjrcnk3 )pi/y2wj/f6x/k2ufa ass have zero acceleration?