10.10: A particle travels at a constant speed around a c3964dppcx b.6 qf3p xb llin.k2fa vogo9vd*6ircular 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 wit ex v7-f* nkcw/a/yb)jb0uo q/ lgt/7h fz+/uthout reference to a particular direction is call x* hwt lbae/tz o/fk) 0/7/fju7c +bugq/vyn-ed

  12.29: A vehicle completes one lap around a cirwfk83rc5x ej j*7cy/lcular track at an average speed of 50 m/s and then completes a se7rwf8cx*l 5/ 3ekc yjjcond 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 8v -gbophhyjx/ 5u7 f9s k,p 7z0ep1ththe constant velocity. If it continues, how far wiv7jph8xktopp 9u0z-h fb/gs5yh7 e,1ll it travel in 3.0 s?

  05.34: A 40-kg boy is stationary on a 30-kg plank that is sliding atz*skug vi;06m* ; snmt 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 rela 0z mmknvugi;6;s*ts* tive to the pond now?

  97.18: A motorist travels 400 km athj n 6eafle4t,l+0at 2 80 km/h and 400 km at 100 km/h. What is the ave64e f +nha2 l,jtt0laerage speed of the motorist on this trip?

  97.20: This question refers to the motion of ayaw3 m bkvq) ,r(38qo syp3r0n toy car traveling along the x-axis. The graph shown below is a plot of the car’s velocity in the x d8a vm0op y3s n(q3q,3)bywkrrirection, $v_x$ 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 toyzfx yevlp 02 o0w+jtsr89xs61 car traveling along the x-axis. The graph shown below is a plot o90 eo8wlxs6x2srtpz01 f+ v jyf 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 motibmd ,qsu *w7rpo7 .p2(x d9dkfon of a toy car traveling along the x-axis. The graph shown below is a ufo(,9 d2k.7 wbrd d7pxqp*msplot 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 xms6zf5,a 8z2u px zb2duck flying due south for the winter. At what point did the duck stop its x8 x 2zf2u6,5bmzspaz forward motion?

  99.17: This question refer to the diagram below which shows the position and e1 k)+;p ukr bwhb,c b/lf4gyyc/g(w s0lapsed time of a car starting from rest and uniformly accelerating in a straight line. What was the average velocity of the car duringby0kcbuhfpw(b 1yr)g,w +/ / l4sk;cg the third second?

  99.18: This question refer to the diagram below which shows tht,a3p+l m js -;b6rqhre position and elapsed time of a car starting from rest and uniformly accelerat+qb h,j 3ra6tslmr-;ping 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 (exqz5zfgc97 time graph for an object with the position time gz cf(ex59qg7zraph shown in the diagram at right?

  00.28: The following question refer to the following information. An ideal vsr,7z,na zxaoq3y0* elastic rubber ball is dropped from a height of *,n zsvxayz7q ra0,3 oabout 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 following inforjv1c mwzc65gol ru-to*48p5 n mation. An ideal elastic rubber ball is dropped from a height of about 2 meteu vco tp4lcnz-oj*w5g 6m5 r18rs, 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-ltyjxgj:r1 )8 e pwgm-xvz// 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(y0 svmfi u7 v(-y:pprwx+nu 7g 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 tomtej;*y d+;-jgof(od 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 thetk+)*u9 rmppqejv+, m 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 th4ctmw i8zlro(6d ,bm4wc9nn7e 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 +b;+o miv3ep1d j fctyk 1gw,-ramp, across a horizontal table top and off the table edge. Which of the followcf-yb, ke3djwm 1g;v +1+i otping would best represent a graph of the magnitude of the ball's acceleration vs time?

  02.01: The graph representsggnt6pc5jy cwey x/0b:,i+i/kjz m() the relationship between distance and time for an object that is moving along a straight linez:j/,iyp)n 6y t+bec0mjk/5ggxwic( . What is the instantaneous speed of the object at t = 5.0 seconds?

  02.02: The graph represents the relationship between disxef)ousc: /g(p,gxi 9tance and time for an object that is moving along a straight line. Between what times did /p xof9eg(iu,sx:)g c the object have a non-zero acceleration?

  10.07: A small object is thrown straight downward on Earth with a4 ;fsoaa - ppm7-zuq+kn initial speed of 12.0 m/s from a position 10.0 m above the ground. Ignorinuzkp--p;s+4 o7fqama g 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 uniformll8 bhcd-9 pxg.izzpaf8vt c2*yib 31 - .0hdqry accelerating acrossl3-q2ri.9*t 0- . d bpbc1izapxzh8yd v8gcfh the floor. The 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 represents a toy car staczkm3q;jrk8 +fe g2en - d+u.rrting from rest and uniformly accelerating across the floor.-k2. uz3;+rn8qemjd ef+ cgrk 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 rne:-c1ct(5 l5 q6yqv1gx-9p wyeiwk r est and uniformly accelerating across the fl6k19x1:- 5 ( iecgn5rvceqylyt w -pqwoor. 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. T6o2u(p:d ha bch xn*mz2 gt+:ehe position of the ball each sectux+ehg2dcp :b o*6n( hz2:maond 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 position of the ab gui)mtt,wy:2 1f -iball each second is indicatedfta,:1wtbi2ui mg) -y .
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circuuduu) +g1rgw :s clown on a unicycle moving in a straight line is shown iu+rwd1 guu: )gn 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 mov6hsa)(ctj r1tdi-u n 5ing in a straight line is shown iah 1j-)t 6tnursd(c5 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 ul g+ 9vfuu:j l1qajz/t9 ;ad7the earth

  03.11: The accompanying graph describes the motion ofh i +d+l,/rz0otiegz) b1 4kce a marble on a table top for 10 seconds. For whi4,e /zizgt+leio+hr0d) c1 bkch time interval(s) did the marble have a negative velocity?

  03.12: The accompanying granoset//qu 5h xb)w5,j ft+d. exam;5 cph describes the motion of a marble on a table top for 10 se5xm),fa5 o dtjt5nu+sq.eb /xc w;/ehconds. For which time interval(s) did the marble have a positive acceleration?

  03.13: The accompanying graph describes the motion of 69owa 9uf xj2ua marble on a table top for2f9au9oxujw 6 10 seconds. What is the marbles average acceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelerates0 e dvd1kjl1t:. e(r- gnihu8s 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 straight downward with a spps3mtsjbsk z6l s80 2;eed 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 the motiovxp+9,jnp /6nrm ,k z /;obcxmn of an object moving with a co , mzb xxc6v;op/,/ +mjpnn9rknstant speed in a straight line?

  03.24:The accompanying graph describeiwq2 u0*ziy bg;0urljrq 0*pm6vnc*4s the motion of a toy car across the floor for 10 seconds. Whai b*c0lnjwi*qgrz04u26rmpy ; *0 vuqt is the acceleration of the toy car at t = 4 s?

  03.25:The accompanying graph describes the m-hi 4 qhnbn5(0 :mykx aui*fo5otion of a toy car across the floor for 1* 4fi nb -hqom05yunx(aik5: h0 seconds. What was the total displacement of the toy car for the entire 10 second interval shown?

  03.26:The accompanying graphveilmx63 ek3n10y( mu describes the motion of a toy car across the floor for 10 seconds. At what times or time intervals must uex0m3 vke(i631ym lnthe net force on the toy car be zero?

  16.03: A car accelerates uniformly from 0 kmnlxh (:e c0n n/,maww9/hr to 60 km/hr in 4.50 s. Which one ofnh x0 l9,(new /mnac:w the following choices best represents the acceleration of the car?

  06.07: A car has the velocity vnha yp f of:tp( 2gcr,+4p73otersus time curve shown. Which of the following statements regarding its motion is NOp(ch: 4ngytapfof7po t 3+2,rT CORRECT?

  07.17: A toy car moves along the x-n;br;*6 v0 rf1 edplclaxis according to the velocity versus time curve shown to the right. When does the car have zero acceleration;eb *rc0lnpr61 vlf ;d?

  06.22: During an interval of time,:vn*kv4nrs h:x8yob7 tlw3f * a tennis ball is moved so that the angle between the velocity and the acceleration of the ball is kept at a constant 120 degree. Which statement is true about the tennis ball during tnvv7s8 wfnr* 4kyb 3*t :hlox:his interval of time?

  07.03: Two automobiles are 150 kilometers apart and traveling toward eachhq 7-fbsarf0. n gq6u3 other.q-67b n qus3.a0hgrff
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. Wbkl;ic6a u38 chen the acceleration is positive and incr36 acbl8ck; uieasing

  07.12: The definitionabten36 w+w *e of average velocity is

  16.18: For any motion in two dimensions, which one of the follown lu.0 qejguj+1c9 l;ping choices identifies quantities t lqe;0cgpjj9n+u. l1uhat must have the same direction?

  09.17: A toy car moveph:9azr aoy )9s $3.0\;m$ 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-timc /t6+x0zww idn /ttdv 0g*x1te, $y\;vs\;t$, 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 rig7e cck/v 4oye f(/gb8oht along a one-dimensional track for total time T in two p4eo 8y feo//c( vkb7cgarts.
• 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 a cm/zgd a,,94j2mlgkn e ar on a straight track is dm,j9 na4gm,kz le 2g/shown in the diagram. The thick line represents the velocity. 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 track ieaa,3p 9)wr e hg6;gy y1hnm6ws shown in the diagram. The thick line represents the velocity. Assume that thegy ny),m6h 9aa3 wgh1w6epr;e 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 pq,j;u,tfd:ln6 umf7vs. time graph shown. For what time(s) is the speed of the ot76j ,d;,lfuf upqm: nbject greatest?

  10.11: Consider the motion of an object given by the velocity vs. time g;l.vvs j-g+ubraph shown. For which time(s) is the acceleration of the obu v+j;v.gbs-lject equal to 0?

  10.24: By computing the area under t6m 5hlgc ykgb.v;nz9hgi nnk+(zc ;jc -f96t5he acceleration vs. time graph for a fixed time interval of an object’s motion, what quantity has been determni(.5-kng 5zgzc hjl ;v9c ;y9fn +mtgc6hk6 bined for that object?

  11.08: An object moves along a horiz 0ahgru67k (xjf +eua:(y)aeuontal 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 trid2qw/g+0 a fptp 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 rele2jtktk 62+ xbnased 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 is released from rest and reaches/14sd7z t;f7n t9ltl2td v fmp 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 ach9xj(71jxwd( gaa qjinn/ia , 7i0g7xis is shown. What is the total distance traveled by the particle from t= ng 9xjc7 j7ianj wa1 xia(70,ihq/d(g0 to t=10s ?

  13.18: Which one of the follmvsp0av8fh mg ,m2o axt.k97 (owing choices correctly identifies all of the listed situations 9vosa(ht pmfvx 7 k0,am28m. gfor which 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. time graph for an object moving along a line ikvv1xjj ,u+x *s shown. The object starts from rest at time t=0 s. At what time(*kv,jju 1xv +xs) does the object attain a maximum displacement from its starting position?

  15.17: An object starts at the origin and its velocpx2nq9w okq6ysb s;4: ity along a line vs. time is graphed. Which one of the following choices best gives the proper iyn 2kpwos;q 49sq:6 xbnterval(s) of time for which the object is moving away from the origin?

  15.09: Two cars are moving to the right on a hor k3tee 0m*d0;ce diypscoc1);izontal track, each with constant accelerationtocyc mc3;eke1*s0;0i depd ). At an instant of time, the information 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 posio 9jk 4ctn*e cur2+rh4tion $x$, 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 the dj 6+w9(f7 we8- jv:aalpjjln following choices correctly describes the relationship between the average speed of the truck to jwwjf ( ap l-6j8:jld7+aev9nthat of the car?

  15.42: Which one of the following choices best describes the inst;a;m3vimtbl d 8 -au,tants of time, at which the car an;t,mv3t-l ;ai8dua bmd truck travel with the same speed?

  17.30: Two cars P and Q, each start from rest a 1liqywyw(36p9q.tkut the origin and will move along the 3t 6pl1q9yw(ui wyqk. 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 of an object moving on a horizontal linwk +.w4 4cl7b,/xviz+b lwmvue is shown. At what time(s) is the object moving with its greu.7i /cb 4w+ x, mwlbzvwv+k4latest speed?

  17.08: A mass moves along the x-axis following the position vs. tims(j l8*k l(lz5gmotunh)9 za v )-q.oie graph provided. During what time interl -m o(nv(58zhj )qu z)t.gol*as9l ikval(s) does the mass have zero acceleration?