10.10: A particle travels at a constant speed around a circulabm9jr0 a(9ual /c3:k hz x0jmer 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 distancerwmmb oah;9gis b l 81q4/ o b)gdeo*..s1xzb- per unit time without reference to a particular direction is bm ) /zbsowoqgsmg 1x9lh- *r..b148i aed;obcalled

  12.29: A vehicle compl6u*afb;5 o dphetes one lap around a circular track at an average speed of 50 m/s and then completes a secon;pf6ob *a5hd ud 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 emgh5ga xh4o 9s-d10f0.80 m in 1.0 s at the constant velocity. If it continues,4faeh5os h x1d-90mgg how far will it travel in 3.0 s?

  05.34: A 40-kg boy is gho*edp88n y 5stationary on a 30-kg plank that is sliding at 5.00 m/s to the right across a frictionless pondgey * o58hp8nd. 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?

  97.18: A motorist travels 400 km at 80 km/h and 400 k,tqc;3 s mezaa7e(c k905 vuglm at 100 km/h. What is the average speed of the motoristm 70vaetac9 ;s, eucq(z3gl5k on this trip?

  97.20: This question refers to the motion of a toy w +erq +jgp-b(car traveling along the x-axis. The graph shown below is a plot of the car’s velocity in the x direc p+gwrej(q-+ btion, $v_x$ 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/ej mzjsm*s i 1lan.zb9fi8)9 the x-axis. The graph shown bel iz*b/j 98a mnf1se.z)mlj 9siow 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 wyy *be61blcf1 ss9v )along the x-axis. The graph shown below is a plot of the car’s velocity in the x yvf61b9)w s cb*l1yes direction, $v_x$ versus time $t$.
How far did the car travel during the first 15 seconds?

  99.15: Given the graph of the veloc ukz2,o*+9uyol: pcvjity vs. time of a duck flying due south for the wintervuj: o +oku,9z 2yl*cp. At what point did the duck stop its forward motion?

  99.17: This question refer k pek* 5l8ww7* fmg4oukn 5ytbv13+edto the diagram below which shows the position and elapsed time of a car starting from rest and uniformly accelerating in a straight line. What was the average velocity of the car during the +tf*kbn81lvgwe5 5*3kkm 4pu oy we7dthird second?

  99.18: This question refer to the diagram below which shows s2-yy tx8j+ v y9faenj5jv v99 *ijyb11 go5ytthe position and elapsed time of a car starting fromyv jt-15vf5*g+j9oiy9 jb sny x9ja1 ey2y8vt 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 sha b09kjyh+*tv w7wfcl0p )*)w 4 tobxsspe of the velocity time graph for an object with the position time graph shown ixtw) 4fs )ks0*cvljptbw y9h0+b*7 w on the diagram at right?

  00.28: The following question refer to the following information. An ideal e pzen:zs0i6 l6lastic rubber ball is dropped from a height of about 2 meters, hits the floor and rebounds to its original height.pnzze0 si: 66l
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 information. An nq,,eihkxfc1;l ,3lk ideal elastic ,1khc fl,;kileqn3, xrubber 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 travel)kvgs3s. w xb gyb )3./,wfatysi09vc with a speed of $v$ in still water, which of the following trips will take the least amount of time.

  01.01: The question refemhadns5l 6md*q nq 55p;68 ycors 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.
During which time interval would cars #2 and #3 be moving at the same average speed?

  01.02: The question refers to the f6s n7nta: ne0e.6kw rfollowing 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 sccoldup+i, :e8nd57vxu6e 8tcenario: 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 s x eg5e*1liefmiwf;*( 2rk ao3ys .k9( syqm;hcenario: 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 downialuyn51; 3lfto 1s 5xjaj+7w a ramp, across a horizontal table top and off the tal53u11yt 7aon+j;jas x l5wf ible edge. Which of the following would best represent a graph of the magnitude of the ball's acceleration vs time?

  02.01: The graph represents the relationship between un+r+c0rm 3j rdistance and time for an object that is moving along a straight line. What is the instantaneous speed of the objecjmu rr3r+n0c+ t at t = 5.0 seconds?

  02.02: The graph represents the relationship between dist:h-e2tgm:a y b biq6f(ance and time for an object that is moving along a straight line. Between what times did(ih t6qb2a-gm be :yf: the object have a non-zero acceleration?

  10.07: A small objec): z(ml;nv)q wqelx7tt is thrown straight downward on Earth 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 reachelzq)vw :lme7;n()xqts the ground is

  02.11: The diagram b;9 li(s8 73q9zmzdm uiu( vfonelow represents a toy car starting from rest and uniformly accelerating93zlmoz8vqfs (9 7i(ud;unm i across 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 starting from rest and uniformly djwe08f s/w /ca1jyk/accelerating across the floor. The time and distance traveled from the start are shown in the diaw/s/0dye k1/ajwj8 cfgram.
What was the acceleration of the cart during the first 0.4 seconds?

  02.13: The diagram below represents a toy car starting from2na33 0o cwmt loh91gk rest and uniformly accelerating across the floor. The time and 03k1c mt3gl 9n hooaw2distance 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 pkc+ .z6 pmqs9hkvc64e fv23b ball. The position of the ball each second is +hb 9kvm2zkeqc.f6s3p6pc4v indicated.
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram shows a uniformly accelerating ball. The poshg3wcazld v1,7ve( j5il1 a,bition of the ball each second is i5lg3dc,eli,hvb w avj 1z a71(ndicated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus clown on a unicycle moving ixh;tqiza8(n: n a straight line is shown in the graph below. 8nzh(:a;qixt
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clown on a unicycle m +1qc1y 5wdxlfb0 /crhoving in a straight line is shown in the graph belo+ bdw0x1h5fqy1ccr/l w.
After 12 seconds, how far is the clown from her original starting point?

  03.04: When an object falls frjs5l6;9wpns1cz n/m r eely in a vacuum near the surface of the earth

  03.11: The accompanying graph describes the motion of a marble on a table 0j; mz st8y3 eeiyd7;ltop for 10 seconds. For which time inz;j;t0l s3e7 e 8yimdyterval(s) did the marble have a negative velocity?

  03.12: The accompanying gw 9c6 x frirg81ya)e.2ojssd8raph describes the motion of a marble on a table top for 10 seconds. For which time interval(s) did the marble have rj 6s828 19xg.dewr yfiao c)sa positive acceleration?

  03.13: The accompanying graph describes the motion of a marble on b *drn8 z 1z-ti6x,br, - hyyiti:fcl8a table top for 10 seconds. What is -d8nbz:-try1x8 yi ifz l,* cb,t6ihrthe marbles average acceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelerates uniformly from rest5czjx j .9ks4znn(ep, ;5j koc 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 downwardp sinlbz;/ad9uqu3 7 6 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 the motion of ankgp;d kw 12/7mlvlc j+ object moving with a cojc7wdmpv; k/kg2l l+1nstant speed in a straight line?

  03.24:The accompanying graphp+*vjh5v rj0za3zn6 t describes the motion of a toy car across the floor for 10 seconds. What isnh05+3vt*pja6 jzv rz the acceleration of the toy car at t = 4 s?

  03.25:The accompanying graph describes the motion of a toy car across the /z0 d8bw2spz6 7sqtilwk4*ye. gqd1c floor for 10 seconds. What was the total q s bk7l. 0z wt/w4zidp*qs26degyc1 8displacement of the toy car for the entire 10 second interval shown?

  03.26:The accompanying graph describes the motion of a toy hl;c +xxx p slzjv02j7xnt8/.car across the floor xs;h nz827.+vcx jlxjt/ l0pxfor 10 seconds. At what times or time intervals must the net force on the toy car be zero?

  16.03: A car accelerates uniformly from 0 km/hr to 60 km/hva azd8*gym)g3wxe9* r in 4.50 s. Which one of the folly 3 xw9z**)8gaed gamvowing choices best represents the acceleration of the car?

  06.07: A car has the velocitecmxwzqfukn*1 k.1/ )7g cu9xy versus time curve shown. Which of the following statements regarding its motion is N1zwu1 cn/)xx * u 7c9kekm.qfgOT CORRECT?

  07.17: A toy car moves along the x-axis acco 4ooc;9md)kf /:ud krzrding to the velocity versus time curve shown to the right. When does the car hakz/;o)o:dr d9m 4ku cfve zero acceleration?

  06.22: During an interval of time, a tennis ball is moved son a(e )xmx-i2nlg y6(j that the angle between the velocity and the acceleration of the ball is kept at a constant 120 degree. Which sta i)((anj-gy2mexxnl6tement is true about the tennis ball during this interval of time?

  07.03: Two automobiles are 150 w1.u w ,sweoqt0w4b j7kilometers apart and traveling toward each other.0js o w1 u4e,7qbwtw.w
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 positigz1iyaon 8r(8b 1 loz(ve and increal(yzrz8o 1nigb a8(o1sing

  07.12: The definition of average veloc-mb/hff:4 -ukt )qw yqity is

  16.18: For any motion in two dimensions, which one of the following choicey4r 6v:ho sk/as identifies quantities that must have the same di:y4hs 6a/o vrkrection?

  09.17: A toy car movemev.sz hfu i0**b-2yxhfk )pk mv9 r2 5/eu/jgs $3.0\;m$ 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-6 5wxis lwxp*-time, $y\;vs\;t$, 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 righz8lnob17r7 ,*hzpgez t along a one-dimensional track for total time T in two partszo1, z87gnp*l7rh zeb.
• 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 car os*(o2 )blbwu 8ibdl3q n a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car starts at ori8d q)ubb*wil3o l s(b2gin $x=0$. At which time is the car the greatest distance from the origin?

  08.24: The velocity vs. t zpua 6sr+;n7mime graph 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 s r;ump7n+ za6$x=0$. 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. time gral y.qpo(3/ .np. o lmoz1mio2bph shown. For what time(s) is the speed of the1b nl oio 2mpp.yo3/ml. (q.zo object greatest?

  10.11: Consider the motih* y3uht48mi*ti .xvgon of an object given by the velocity vs. time graph shown. For which time(s) is the acceleration of the object equa4vh*t.hu8i tgyixm3*l to 0?

  10.24: By computing the area under the 8pzp lewif6j 0,r.m70rw w.qk acceleration vs. time graph for a fixed time interval of an object’s motion, f,q8 zjwrwi0l7wp0 m.pe .rk6 what quantity has been determined for that object?

  11.08: An object moves along a horizontal line with incr;p qxe o:n1eaw utz7+:easing 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 tqe ei riozuyq7891b :7 r4h0xjwo 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 releasewva1omoq(zs 1vh:t) - d 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 the vzus* ;zizn7u0-uq o;fqmxt0v7 ,.veground 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 graph8g g;em(ouc 0p of a particle moving along a horizontal axis is shown. Whum 8cp0gg;(eoat is the total distance traveled by the particle from t=0 to t=10s ?

  13.18: Which one of the following choices correctly identi.1( qt+adl zcn *b/erpfies all of the listed situations for which there epzb1 c q/altr (+*.ndis 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 objeg,tse58zf: xx8 6p9z4 i cdbtlct 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 startin4zlzc i d,6f8tg8 b5exptsx: 9g position?

  15.17: An object starts at the origin wonhri :fe9yc 4a3)y,z aib8isxfu: y+(67 xo and its velocity along a line vs. time is graphed. Which one of the following choices best gives the pr ios9f:azhibyy nfc48y,iuor: ae6+) 7x(xw 3oper 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 idzp mvn8u:. :iv7hzxo p48 6z nds+i:track, each with constant acceleration. At an instant of time, the inuvp i8m 7d.d:xio:nhz 4: svp6zz ni8+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 hanhf+ + m(qiepmb4f 4 c(71mxkis 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 onenf 04ko0u,0zxpx lf( z of the following choices correctly describesx0zfno0k, x( 0zlp fu4 the relationship between the average speed of the truck to that of the car?

  15.42: Which one of the following choices best describes the inx h vs3t mjw/k-z/fh76:/d i tg+myq1hstants of time, at which the car and truck travel with the same spt+6 hxvik h q/yt g1hfds -7mmz:3/wj/eed?

  17.30: Two cars P and Q, each start from rest at t jaa5xmc+,7srsbv 2m8 he origin and will move along the x-axis. The acceleration vs. time graph for ea7x2,vas5ajs mcm+ 8br ch 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 o(sy jqkt ,m+j:5.ss sif an object moving on a horizontal line is shown. At what time(s) i, .skssjq 5:stj +myi(s the object moving with its greatest speed?

  17.08: A mass moves along the x-axis following the position vs. time gn03tvc gzf 5y9m 1to3fraph providedg yftfv5tn1o30c z3 m9. During what time interval(s) does the mass have zero acceleration?