10.10: A particle travels at a constant speed around a circular pathpm2u e:uwg *t4 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 ua0 m4u(v(zogu4kh ;hk7 -cu*e qo3r oxnit time without reference to a particular direction 0muk oqxk7-c4ru* ugoh 3 vz(e4ho;a(is called

  12.29: A vehicle completes one lap around a circular track a4ebz8j og.u9+ d2el xct an average speed of 50 m/s lz xc 9.deuj8+4o2ge band 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 iid0 8fwewo wn:uy*4o6*gag/ e,af 7gvelocity. If it continues, how fa,odiw0*ggao6f/fwye iae8u nw7* g4: r will it travel in 3.0 s?

  05.34: A 40-kg boy is stationary on a 30-kg plank that is slx hk/p x(*jug+iding 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, relativ+pu/gj( k hxx*e to the plank. What is the speed of the plank relative to the pond now?

  97.18: A motorist travels 4ix,r )p55tf cb00 km at 80 km/h and 400 km at 100 km/h. What is the average speed of the motorist on thi,tcrip5 )b xf5s trip?

  97.20: This question refers to the motion/1ipg+8k btyg of a toy car traveling along the x-axis. The graph shown belowt 8 /iyg+kpgb1 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 travelinxotbtcn( -6q)vet g7u9kt cjb1; 32okg along the x-axis. The graph show16b gcttbv; kn qe7 k)u9-o2t oj3x(tcn 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 refers to the motion of a toy car traveling along t r+kqk(rww r;j-bn21phe x-axis. The graph shown below is a plbp rwj+1r-knw kq(2r ;ot 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 flying due az3 bkb4am.;hsouth for the winter. At what point.bh zakba; m43 did the duck stop its forward motion?

  99.17: This question refer to the diagram below which shows the position ibjgqj61a6 sn1 .. jtjand elapsed time of a car startin bqi.sj1 6ja.g1j 6tjng from rest and uniformly accelerating in a straight line. What was the average velocity of the car during the third second?

  99.18: This question refer to the diagram below which;zv)f 3ry ,(3hfhr exh shows the position and ela;()f,h z3r3vx hfrh yepsed time of a car starting from rest and uniformly 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 f 7dkq n4*x,a2p. dwfidor an object with the position time graph,4knq2a*wdfxpi.7 dd shown in the diagram at right?

  00.28: The following questii )f3t,lqd 6 z*w.wzfqon refer to the following information. An ideal elastic rubber ball is dropped from a height 3.wti6f)z,zwdq* lq fof 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 questiona+2 2m)- nfxs1 ateaon refer to the following information. An ideal elastic rub2f- e aosa1ta mnxn2)+ber 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 can m;x yn9cqs*pvym 3ym su,v29+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 sc16 2ig/gt: yw0e snu 8m1dsgvtenario: 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 re3 urwlx4z *)iu+ k*vmefers 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.
About what position after $t_0$ would car #1 and car #2 have been side by side?

  01.03: The question refers to thkr vknop.t zvr u:w4+vbaz.- 46sz8d /e 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.
Which of the three cars had the greatest average speed during these 5 seconds?

  01.04: The question refers to; 1ho.fqgp j7c 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.
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 horot0mctq yd(o+ +;8n65 ntl djeizontal table top and off the table edge. Which of the followin +d0t86dcjl t5 y(qom;otenn+g would best represent a graph of the magnitude of the ball's acceleration vs time?

  02.01: The graph represents the relationship between distance and time for an o76h be r.0 c4f-gazbsvbject that is moving along a straight line. What is the ins4r6 s-c7hvfa b0.gbzetantaneous speed of the object at t = 5.0 seconds?

  02.02: The graph represents the relationship between wi7)gvl:clp -f+,d hmdm3t5 2v4 5eihd c2 bgwdistance and time for an object that is moving along a straight line. Between what times did the object have a non-zero accele53iv,p)ft+dd5gcmm h: -eb7lw2 wl hvg2icd 4 ration?

  10.07: A small object is thrown straight downward on Eayr:y6gjz6 8,bg eo)/z c l:impc0rp(y rth with an initial speed of 12.0 m/s from a position 10.0 m above the ground. Ignoring air resistance, the speed of the object when it reaches ty:y:ly eoc6/ pmpjz0r gibr, 86zgc()he ground is

  02.11: The diagram below represents a toy car starting from rest and unifor/3feg v;sky 7 g+f l7ia6iuuh5mly accelerating across the floor. The time and distance traveled from the start are shown in tsiy+7uhf7 / ia5 kgfv3;leg6uhe diagram.
What was the average speed of the cart between 0.1 seconds and 0.3 seconds?

  02.12: The diagram below r: r3uc52:z uay h ldl3zndqq:/epresents a toy car starting from rest and uniformly accelh qcr3 uzn/3 5 aud:2lzy:dl:qerating 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 starting from rest *50q c8mwjqv op5myn (and uniformly accelerating across the floor. The time and 5 5 *ocmq(wn q8jym0pvdistance 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. The posivvz,e, dlk7 6fd3 5-ig.ula1pvzw/sjtion of the ball each second i5-pv vz1slia76j,3k gv d eu,.wl /dzfs indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformly accelerating baxi3(pbpq7 :sj ll. The position of the ball each ses 3b:jpp(qx i7cond 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 moving in a stramxirt4v l.5k bbe6wq;h t +3k:ight line is shown in theb kk5+ehtwi;b3rq4.x vm6l :t graph below.
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clown on gio/(-apz)* 8+x kke o. vdjgna unicycle moving in a straight line is shown in thdvz-ge x8kiak p)gj(+ *ono./e 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 near5j.;v4jn ynt 2rjoq; z the surface of the earth

  03.11: The accompanying graph descrivhw,mco6ew/8 bes the motion of a marble on a table top for 10 seconds. For which time interval(s) did the marble have a negative velocity?6 ce,wm8vow h/

  03.12: The accompanying graph describes the motion -ue4z;s ))1 gg* 4;fmwdvrey nw+suycof a marble on a table top for 10 seconds. For which time iseng +u1)*zfw;c y r ;44)vmw-deusygnterval(s) did the marble have a positive acceleration?

  03.13: The accompanying graph describes the motion of a marble on a table top f 402pmjjnlwj.b3ty,)v q) lpior 10 seconds. What is the marbles average acceleration between t = 3.3 s i)m p 0wt.4pl2bn )v q,l3yjjjand t = 3.8 s

  03.20: A car acceleraty ly0s l 8s(6mt0pm,c)r d1gktes 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, thrown stray,m5viny)sl :wd / ee9ight 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 graph4nhs,b-:,/)9/xtjdzr 5, l n oih f)ikfrzi mss could correctly represent the motion of an object moving with a constant speed in a strahbnrf4m5hksd -,/r,lxif)js:/9ztn, iz) oi ight line?

  03.24:The accompanying graph describes the m4ckjj4 )n yj6xy0n j/rcfsa2.otion of a toy car across the floor for 10 seconds. What is the acy.0yk6aj /4snnc2x4rcjjj f )celeration of the toy car at t = 4 s?

  03.25:The accompanying graph describes the motion of a tjrrt f u+x)*/uy7 8cunoy car across the floor for 10 seconds. What was the total displacement of the toy car for the entire 10 second interv7n) c+/truf8x y*ujru al shown?

  03.26:The accompanying graph describes the motion of a t82+nvyftjh4 u w) 7mwuoy car across the floor for 10 seconds. At what times or time intervals must the net force on the toy car be zey) fm 8wu72+n4v hwutjro?

  16.03: A car accelerates uniformly from 0 km/hr to 60 km/hr in 4.50o dsfx*;2nd.mm20,*ek vwpae s. Which one of the following choices best represents the accelerat,mx2*2*fee 0dod . wms;nvkpaion of the car?

  06.07: A car has the velocity versus time curve show58 :)dcqn. 6gm+xkqisyulu9.g sso. r n. Which of the following statements regars kmgdqs:c.y9gxi ru o q6.u8s5.nl)+ ding its motion is NOT CORRECT?

  07.17: A toy car moves along the x-axis according to the vel8wy 5wgg qb53j :jxof.ocity versus time curve5fb.5xojjw 38w:gygq shown to the right. When does the car have zero acceleration?

  06.22: During an interval of time, a tennis ball is moved so that t9qm6cef7/hqyp g5j u*he angle betwqh u6*yfj/c9g5 7q mepeen the velocity and the acceleration of the ball is 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 traveling toward eachk,mns m:w9o 1y other.oms:nky91 w m,
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. 9i*fi zumc* (wclgn0r6d;k2u When the acceleration is positive and incr*k2wi m dn6*uf9;lcizu(g c0reasing

  07.12: The definition of average vena25alb5 1dvsdv z k e/ngz01rh- tw49locity is

  16.18: For any motion in two dimensions, which one oflo8.zp)smot /tb k 5u l d8cbs;z:d-:y the following choices iden8u/:kl-m.z ootbtz5s;s)d: pcb yl8d tifies quantities that must have the same direction?

  09.17: A toy car movesb8 * szv: oujbkv*2h1x,j k0ka $3.0\;m$ 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, hq o47av zx;p5o:i0df $y\;vs\;t$, 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 alocjmq hjd,t .9dg 912tlyl o;-yng a one-dimensional track for total time T in t j.,gy1;h tlcymjddl9o9t 2-qwo 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 motionk10h6w ; oqcyyap l1+9 yk5hpo of a car on a straight track is shown in the diagram. The thick line represents the vey k+a6 c1o15hpq;o kw 0pyyhl9locity. 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 a straight trackz)s19jbx y yn1:r bc)x is)c 9srb yyx1:nzb1 xj) shown in the diagram. The thick line represents 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. timm 5lt iw;8-tsbe graph shown. For whas -;wmlttb 85it time(s) is the speed of the object greatest?

  10.11: Consider the motion of an object given by the velocity vs.x, lutiyk(,l* time graph shown. For which time(s) is the acc,t(y, lli*k uxeleration of the object equal to 0?

  10.24: By computing the area under the acceleration vs. time gra9+gy ze7qg-a5gj , lwy pw*ja)(t/ ibzph for a fixed time interval of an object’s motion, what quantity has been determined for thatl-a)/gywb*ygzgj pw,i jtq(9a5z7+ e object?

  11.08: An object moves along a horizontb+q-6pz1jn u+m mfa t;al 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 d2s w )1jc5oliin 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 abfu)vyj. vh4o*j u zd(7r,hx/ 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 reaches t:v e ss;m(f25 *l7kbr dwcjx1the 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 m ma3);y;mt +qmsxqi/ of a particle moving along a horizontal axis is shown. What is the total distance traveled by the particle f +mqmi;s;qmxatym3/ ) rom t=0 to t=10s ?

  13.18: Which one of the following choices correctlxg f8qt44;3si hlmcw-y identifies all of the listed situations for which there3-m4 i;4fcw8sq xg hlt 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 an object m1(xk rf.n*zcf8eaonm9 4m5ltoving along a line is shown. The object starts from rest at time t=0 s. At what time eno tc8(9f5xmf4*lra1mk z.n(s) does the object attain a maximum displacement from its starting position?

  15.17: An object starts at the origin and its velocity alongmukf wi)zb7*g* qwy1b/j dkht5th7 .j jos2+. a line vs. time is graphed. Which one of the following choices best gives tj f bwwu27sghtjh iodk k*j.m.t7yqzb5 /1)*+ he proper interval(s) of time for which the object is moving away from the origin?

  15.09: Two cars are moving to the rupy(im,i,d c h4fw87 right on a horizontal track, each with constant acceleration. At an instant of time, the information abiwh(ypm48d, fr i 7uc,out 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 positghueeb6612 k jion $x$, 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, whicc:d,o nixse( d,gd3q1h one of the following choices correctly describes the relationship between the average speed of the truck to that of thxsnig d(eo,3c: 1d,dqe car?

  15.42: Which one of the following choices best de1g2 b rbl+if2kscribes the instants of time, at which the car and tru b2bglki21 r+fck travel with the same speed?

  17.30: Two cars P and Q, each start from res6xwtnk,o7 05cehwv3p t 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 choew,03x756to kp vhcnwices correctly identifies the relationship for both the speeds $v$ and the positions $x$ of the cars at time T?

  16.02: The position vs.x61cmv5f 4 ljb time graph of an object moving on a horizontal line is shown. At what time(s) is the objectvb cj5fm614l x moving with its greatest speed?

  17.08: A mass moves along the x-axis following the position vs. time rgjooq o2ifk)7m9w .: graph provided. During what time interval(s) does the mass have zero acf 7oo:kmgoj).2 qr w9iceleration?