10.10: A particle travels at a constant speed ari2ro41:rtdrj-s /-w4 xq cftw3:rld oound 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 t5c/d (lvtgk52i 5wnc7jfdh;p na) x9pime without reference to a particular direction is callxd)h fk5 n7aclip(ndj5 ; 95c/vp w2tged

  12.29: A vehicle completes one lap around a circular track arne1k2l15plc a5t9gzdn l:- zt an average speed of 50 m5e95 lz1n 1allzd- nk:c2gptr/s and 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 an4h z mr7stwlh(i .j9,-:szto 7k*j bnt the constant velocity. If it continues, how far will it-mnntthzb7hz.9ir:skoj ,s 7l* (jw4 travel in 3.0 s?

  05.34: A 40-kg boy is stationary pe 7 jzhlxz lu)3t:n 66yl71dqon a 30-kg plank that is sliding 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 plan76dhu)6pz3 tx1n elzql7l:jyk relative to the pond now?

  97.18: A motorist travels 400 km at 80 km/h and 400 km at 100 km/h. What ize,x d-sz9jh)n3; g tfs the average speed of the motorist on thh n,xg zsfz3e j-;td9)is trip?

  97.20: This question refers to the motion of a toy car traveling alonxyun(- w.t /-rixlo n*g the x-axis. The graph shown below is a plot of the car’s velocity in to nxui (-*w/yr ln.x-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 m5sny jo.*+r lootion of a toy car traveling along the x-axis. The graph shown oy olsn+5.rj* 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 the xfhe3za t d0t3;;q-im a-axis. The graph shown below is a plot of the car’s velocity d fhmqe;a-t at0zi33 ;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 m cmd(t re:3* 48e u83ngghaicof the velocity vs. time of a duck flying due south for the wintt(m3ng4cec *38 mrea:u 8di gher. At what point did the duck stop its forward motion?

  99.17: This question refer to the diagram below which shows the position andc7-uijs,e3r n:u5 lqp elapsed time of a car starting from rest and uniformly accelerating in a straight lines:r5nliu3ju e pq7c,-. What was the average velocity of the car during the third second?

  99.18: This question refer -nxt4nz w g17kel+ u2gto the diagram below which shows the position and elapsed time of a car starting from rest and uniformly accelerating in a straight line. The average acceleration during the entire 3 second interval nu lzgg47+w n -12tkexis closest to

  99.20: What is the shape of theu4sx:k(hi+hnc0 h3wb velocity time graph for an object with the position time graph shown in the diagramush:nb0k (ch 43 hxiw+ at right?

  00.28: The following qux a;8cb zs2. ow/(taghestion refer to the following information. An ideal elastix cbh. gw8;asa(ot2 z/c rubber ball is 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 thev:q ;(9/rbrva9d ko co following information. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits the floor :d rqv9 or9v/c(obka; 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 wit+56.j5:83xtq vx ke zwcvxqwbh 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 scenario: Az/ :m.qljp i) h.3aeytt $t_0$, 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 refel2 1j no5y;mqi3/ caytrs 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 the following scenario: Ad s09v t5mm:tct $t_0$, 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 t0bmsyr.q;mpkf v ,l49o 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 rampq:ytukvz - -)y, across a horizontal table top and off the table edge. Which of the following would best represent a graph of the magnitude of the ball's acceleyvtz:q y -u)k-ration vs time?

  02.01: The graph represents the relationship lnttty4:yq*uc 1m9 uiv d6o0,between distance and time for an object that is moving along a straight line. What is the instantaneous speed of t91ot n6tl,y dqt*4 muuc v:y0ihe object at t = 5.0 seconds?

  02.02: The graph represents the relationgh;/r rt9e/lt+y ; ibyezla;0ship between distance and time for an object that ie e+ tzrt ya;ry09ibgl; /lh/;s moving along a straight line. Between what times did the object have a non-zero acceleration?

  10.07: A small object is thrown straight downward on Earth with an initial sb-8uoyhp;pi 1 peed of 12.0 o8i b;ppuyh-1m/s from a position 10.0 m above the ground. Ignoring 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 acwxs*eb.v:o /nd uniformly accelerating across the floor. T:*wec x.so/vbhe 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 repo6i8 llfb7oy4 resents a toy car starting from rest and uniformly accelerating across the floor. The time and distance traveled from the start are shown in the i6 4yo78bfllodiagram.
What was the acceleration of the cart during the first 0.4 seconds?

  02.13: The diagram below represents a toy car starting from resqh -n-dai .ll0t and uniformly acceleratinq0a.n-l- lidhg 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 unifors ndlshv rmcorpl: :)+-q0x33mly accelerating ball. The position of the ball each second is indicated. xp vdslq+l3rs3c 0oh )::m-rn
What is the average speed of the ball between 3 and 4 seconds?

  04.09: The diagram sho6fn c-ew gjd;f. . 3xuwwf,sbmor5o,;ws a uniformly accelerating ball. The position of the ball each second is indicatedwn,s6x5eo f - ;; jwd,3.mgcuwofb. fr.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a circus clown on a unicycle moving is y3 gmzh1p* dq(yqdbu*a12m4 n a straight line is shosq 3aupz*1m* yhd21q4bdg ym(wn 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 in a straight lid xx lifn*g691/e/wtl8 ;upyfid d3y6ne is sho f*dng ;i631u6ddllif8xx9e yt//wy p wn 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 ryxr0iq3/dd b9kh e20a vacuum near the surface of the earth

  03.11: The accompanying graph describes the m /nr:0wpsov1 b)nq w0fotion of a marble on a table top for 10 seconds. For which time into/q bwn:wvfp0 1n r)s0erval(s) did the marble have a negative velocity?

  03.12: The accompanying graph describes the motion of a marbwd a f1w;4r ;iw6wte5ile on a table top for 10 seconds. For which timei ;wtf1;4 iw6dw er5aw interval(s) did the marble have a positive acceleration?

  03.13: The accompanying graph describes the motion ova( r4c4zies4f a marble on a table top for 10 seconds. What is the marbles averag4(zas evc4i4r e acceleration between t = 3.3 s and t = 3.8 s

  03.20: A car accelerates uniformly from rest for a time of 54 nskfv:mio.k rq z12$2.00\;s$ through a distance of $4.00\;m$. What was the acceleration of the car?

  16.06: An object, thrown straight downward with a speed ok ft+b3: kp/rtf $20.0\;m/s$, 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 ren37bxay3q -aq present the motion of an object moving with a constant speed in a 3a-y qaqx3 bn7straight line?

  03.24:The accompanying graph describes the motion of a toy car ac/m. nca*b*ow tross the floor for wb*am *nc/.to 10 seconds. What is the acceleration of the toy car at t = 4 s?

  03.25:The accompanying graph desckqk+c9qd8yg0 c 1 8te5qdo8n jribes the motion of a toy car across the floor for 10 seconds. What was the total displacement of the toy ceod8qcy09q gn 1dj+8 qk8 tkc5ar for the entire 10 second interval shown?

  03.26:The accompanying graph desc5(jbjs:x v20(n )b wbakmv-mu ribes the motion of a toy car across the floor for 10 sec 2vbnsbb5(: mvxaw j0k)jum-(onds. 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/hr in 4.59k498uzjvfdui:j 2dc :s ai t-0 s. Which one of the following choiu48zicus ddk it929 j vjf-::aces best represents the acceleration of the car?

  06.07: A car has the velocity versus t atzo +; .vyzu(wtjlc(em6z82sx.5 e3 ew,qc lime curve shown. Which of the following statements regarding its motion is NOT CORRECT.z65,.ty8eqsc 3w2 c+e (tl w(;aoujv zzmlxe?

  07.17: A toy car moves along the x-aw9*(rbc2cj (jn h 9/0uwjyw egxis according to the velocity versus time curve sh b(wj*2/g 0j9rcweju h9 nc(wyown to the right. When does the car have zero acceleration?

  06.22: During an interval of time, a tennis ball m *49 9kjemarc*5abn( gpxc+e,qulk 7 is moved so that the angle between the velocity and the acceleratip7* (9c e u 9 m4mlnxb,e5jarkg*+qckaon 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 7ufs9 bm*/qs veach other.9 smbvf/qsu* 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 acceleration is pok:ovvi/qjj1b 4-hz d/ 2umi+ositive and increasingj /zo1vm-ibv4/ jhu2i o+kq:d

  07.12: The definition of average vervx:*j0 xu 95zjy pp4plocity is

  16.18: For any motion in two dimensions, which one of the z mj/n12 h)cdofollowing choices identifies quantities that must chm z/on12dj )have the same direction?

  09.17: A toy car movhq;y-8d4rk/ tw0jupv 9 nt ia9es $3.0\;m$ 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-t+n82wvf u-4l(smzhg1+tr l ytime, $y\;vs\;t$, 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-dimensional trhkoy,g +)/ v)xbm czt-dedk21ack for total time T in two parm )bkcd +/t,zdgx1v- )hekyo2ts.
• 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 mo ye7; 9t 5bfrlry-2mthe motion of a car on a straight track is shown in the diagram. The thick lineyf-re7m;t5borl2 9 ym 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 eps-jky p yzw5hv7 +24is shown in yje75h2swkz4 +-pypv 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 7zz lz-xgx.u2h h1q0;dw6muub7r3 jh /gz -bl. time graph shown. For whatjz ;h -m7zbx2-l7u6gx3wbuh01 zl. hzgdq/r u time(s) is the speed of the object greatest?

  10.11: Consider the motion of an object given by the velocity vs. timhj:/pt 0h z5dnow i9:ae graph shown. For which time(s) is the acceleration of the objh 0t5ni: o/w:z9jdpha ect equal to 0?

  10.24: By computing the area under the accelerat9xb ytiagt+9wb x2p17 ion vs. time graph for a fixed time interval of an object’s motion, what quantity has been dewp+ta b 2x91x7gbtyi9termined for that object?

  11.08: An object moves along a horizontal line with increasing speed rule:pg6y63 9l.rpzh.
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 part 1i o;0x+3f pcif)1dkf7ct u)na kum-ts:
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/bj.7faaf v6ko,.loaj*o r m0dva9 .k 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 releas.; t5cw/vtr*oy+)aox vvjh p0ed from rest 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 moving along a h3+b)3gcsmpn 9h z/dmh orizontal axis is shown. What is the total distance traveled by the particle from t=0 to t=10s ? sb)zpmg3hn+mhdc9 3/

  13.18: Which one of the following choices correcllzdr bs /:ui u0eh,/4htqv+(tly identifies all of the listed situations for which there is a non-zero z,0/re4lsul+ /:b dt(u ihqhvacceleration?
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 grapdzc6med a8 7qa7pr:d*h 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 obj *6dpa7cr:a z 87dqdmeect attain a maximum displacement from its starting position?

  15.17: An object starts at the origin and its velocity along a ( fbf t00gsu3bkw )az0line vs. time is graphed. Which one of the following choices best gives the proper interval(s) of time forubgfwts)0 0(b30z akf which the object is moving away from the origin?

  15.09: Two cars are moving to the right on a horizontal track, ean4vjdpllw:dsj)(; q6bic6* pch with constant acceleration. At apd6p cl(4bv6j :lw)q* i;dnjsn 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 positionwz/1 k6iz/veyo*/. yoi mmy 5b $x$, 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 5x6oochuh zm-ma9r :-67 vgowthe following choices correctly describes the relationship between the averagechz g7-:wom r6-ox5vuo9h6 a m speed of the truck to that of the car?

  15.42: Which one of the following choices best describes thee 7o1xkg:f p. l.pu4c( p.bamd instants of time, at(.afb.xmg k1pd7 ue4 .p:cplo which the car and truck travel with the same speed?

  17.30: Two cars P and Q, each start from v,p86jcl+ boc 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 relaticbl,6cj + 8ovponship for both the speeds $v$ and the positions $x$ of the cars at time T?

  16.02: The position vs. time graph of an objecff s* 260q-:y+if(ha hvsnf3i iwro.jt moving on a horizontal line is shown. At what time(s) is the hj*-arif6f nih fvs3. y:2 0sqo (if+wobject moving with its greatest speed?

  17.08: A mass moves al r n.+*205tycjxq mfw3awdqn 0:q1t, vqx4gcbong the x-axis following the position vs. time graph provided. During what time interval(s) does the mass havendj .v1+ a43qtr,c m0xqfg5x0q2wn y btc*:wq zero acceleration?