10.10: A particle travels at a constant speed aroun-)t ,m ugxr tk2+1tvgnd 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 dis9foo.sn(8; jr7w dqpjtance per unit time without reference to a particular direction 8 pjsno.9r;7(j fqodwis called

  12.29: A vehicle completes one lap around a circular track at an average speed ;a batafnakw57 *k46w :xy7zdof 50 m/s and then completes a second lap at an averagefba7y: 7az;kwn 5k d4t6* axaw 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 ate.9u7 c1wevwn, k(xtna 7qsb4 the constant velocity. If it continues, how far will it travel iv. c bk(a14e7nexnwqw,tu 9s7n 3.0 s?

  05.34: A 40-kg boy is stationary on a 30-kg plank that w5z7zf. 2u aglis 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 plank relative to th au2w.g7fzz l5e pond now?

  97.18: A motorist travels 400 km at 80 km/h and 6mq 9r2tp,3xlcc bui d2**+( ogznhaz400 km at 100 km/h. What is the avi(2q9orc+blh, *u3czpz m*d6 x 2angterage speed of the motorist on this trip?

  97.20: This question refers to the motion of a toy car traveling anf+ k y3txw0v.z+,qcpc pwlh t42o.l8long the x-axis. The graph shown below is a plot of the car’s velocity in the x dwt lypl0 c.o+q2n.3w8v x f+ zpk4ct,hirection, $v_x$ versus time $t$.
During what time interval was the car moving towards its initial position at constant velocity?

  97.21: This question refers to thpk vz3gx9 6*dxe motion of a toy car traveling along the x-axis. The graph shown below is a plot of the car’s velocity in the x di 6gd3zx* pvx9krection, $v_x$ versus time $t$.What was the acceleration at 33 s?

  97.22: This question refers to the motionp4/pwte;1nyp p:e8wy1oi jj 2 of a toy car traveling along the x-axis. The graph shown below is a plot of the car’s velocity in the x 41 2 wpt/ei1n8yypw poj;e pj:direction, $v_x$ versus time $t$.
How far did the car travel during the first 15 seconds?

  99.15: Given the graph of the veloci: +*+ p::tqsk 0fxrxekxt8 pyjty vs. time of a duck flying due south for the winter. At what point did the duck stop it tkqxj+p*:+prf8se :x:0y kx ts forward motion?

  99.17: This question refer to th qf7e/bd) q)98lxys qze diagram below which shows the position and elapsedfe9sz)7 q lbxq/8d q)y time of a car starting 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 shows the position lx)c 5 2pdngx+and elapsed tl pnd g5xx)2+cime 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 for an object with the posim8- 1g ybj/cl/xqtan 9tion time graml- 89/t/ajyx 1qgbcn ph shown in the diagram at right?

  00.28: The following question refer to the following informh)-y,36j wpi-hlxg/ g(so ksmation. An ideal elastic rubber yhg- oi/l3k 6x,phwsm (gsj -)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 questiazld3,m6ozsb-3 c5c .nypj/o on refer to the following information. An ideal elastic rubber ball is -p3/jz3,bc6c.s ln5o adzmy o 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 with a speeqk gft.4 zw0:dd of $v$ in still water, which of the following trips will take the least amount of time.

  01.01: The question refers to the followl(b 1wn fz:gk*9x:o,druq+qv ing 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 followingo8 9vcvfa:v3 w2d(ylw*18 ged hl/p fq 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 f,t+a8wijt3+7ls2m:zt2u w w yzfz (v collowing 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 oc+/; qi*m isliw(x;i refers 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.
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 ;jaf7y +d-z xhrolls down a ramp, across a horizontal table top and off the f dyj;a-hz7+xtable 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 relata-,ro96qvf/ig n*)tfhc6 h tpionship between distance and time for an object that is moving alongpg*f-q966h,/fiv ttrha co ) n a straight line. What is the instantaneous speed of the object at t = 5.0 seconds?

  02.02: The graph represents the relationship between difb5d w1e16vzh stance and time for an object that is moving along a straight line. Between what times did the object have a non-zero accelerat e5bwvz116fdh ion?

  10.07: A small object is thrown straight downward on Earth with an7 tdnhbr,l-df3ht ) a, initial speed of 12.0 m/s from a position 10.0 m above the ground. Ignoring air resistance, thtf,dnth-, 7dbah )r3 le speed of the object when it reaches the ground is

  02.11: The diagram below represen3phuvqo6a .yzj*7 to;ts a toy car starting from rest and uniformly accelerating across the flooazj;o tu6y q7o.*3h vpr. 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 unifym : m5w ch2vwql8m+0iormly accelerating across th 20vmw liqmc+58whm: ye 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 cai6kl wm/j :g6pr starting from rest and uniformly ag6p:m6kw l/ijccelerating 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. Tb2 zw0 6ykes9yhe position of the ball each second is s0yb29w yzk6 eindicated.
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 8vx+l,g i fbxaq:uwm-*8:iqx the ball each second i8bg*vf:wixaqiu + l,x: x8q-ms indicated.
Which of the following is closest to the acceleration of the ball?

  02.17: The motion of a cir qqng/8t3/qg5j k;u(+p2vlxyz y lgl 6cus clown on a unicycle moving in a straight line is shown in the graph below. 2g;q( uyz v//jt8px+6 y5kllqg3 lgq n
What would be the acceleration of the clown at 5 s?

  02.18: The motion of a circus clown on a unicy/2,e,8pf/hn2 qo,acbw1h/j)il 4 buuzv gyi rcle moving in a straight line is shown in the graph below wbh2hju4/u,1 gn b/ 2vczliy)i8r, pf/aoqe,.
After 12 seconds, how far is the clown from her original starting point?

  03.04: When an objec23vrd( ks s5cdt falls freely in a vacuum near the surface of the earth

  03.11: The accompanying graph devxt;s5 f4t1p,i*wma tscribes the motion of a marble on a table top for 10 seconds. For which time interval(s) did the marble have a negative;p*54 fixst1,mva twt velocity?

  03.12: The accompanying graph describes tmuz /m+o*0pegl2dyd8 he motion of a marble on a table top for 10 seconds. For whidezp2yo/08m+ ml u dg*ch time interval(s) did the marble have a positive acceleration?

  03.13: The accompanying graph describes the mot 9et/j (.x llrn6(pvueion of a marble on a table top for 10 seconds. What is the marbles average acceleration between t = 3.3 s / 6pe( .jrlvltuxe(n9 and t = 3.8 s

  03.20: A car accelerates uniformly from rest for ai+il e6xe.grne+ /m4d time of $2.00\;s$ through a distance of $4.00\;m$. What was the acceleration of the car?

  16.06: An object, throwna*pfg ms7qcg:vbta. l8.q irm7o **2l straight 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 graphs could correctly represent the motiop pc 31q6q2swln of an object moving with a constancqwp26l sp31q t speed in a straight line?

  03.24:The accompanying graph describes the motn n;xxtjoy;1.* uri/ rion of a toy car across the floor for 10 seconds. What is the acceleration ;; 1ru/t .nioxx*y nrjof the toy car at t = 4 s?

  03.25:The accompanying graph describes thapu6)78s vpyzt e*p,ze motion of a toy car across the floor for 10 seconds. What was the total displacement o8zpz,a6p v)ye s*pu7tf the toy car for the entire 10 second interval shown?

  03.26:The accompanying graph describes the motion of a tou8ldwsk,4 7 pte(-d, gz1v kcu2o ggn5y car across the floor for 10 seconds. At what times or time intervals must the u egg5s2(vl,ng -dtd uopzw 4c817, kknet force on the toy car be zero?

  16.03: A car accelerate0ikx ka:3jw:n 1ir nu+s uniformly from 0 km/hr to 60 km/hr in 4.50 s. Which one of the following choices best represents the acc :1kj: xni0i3+urnawkeleration of the car?

  06.07: A car has the velocity versus timesyk w4ca3mb gghvft.p699* 3q curve shown. Which of the following statements regarding am3ysgg fk*.hwvq9t3c9 p4b6its motion is NOT CORRECT?

  07.17: A toy car moves along the x-axis according to the velocitynwpijnaxxm4 0; c/4 ;s versus time curve shown to the right. When does the car c/j; pmix40;4n nwx ashave zero acceleration?

  06.22: During an interval of time,qbh +r. atbb(1 a tennis ball is moved so that the angle between the velocity and the acceleration of the ball is kept at a constant 120 d+ bar.1b tb(hqegree. Which statement is true about the tennis ball during this interval of time?

  07.03: Two automobiles are 150 kilometers apart and tr( itnos 6.seb;aveling toward each other.nb (oiest.6 s;
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 acce.nyj7sj 8ior,e s8/g;i roz1zleration is positive and incr o,o 1sjr7j;ri zz/i8 g8ny.eseasing

  07.12: The definition of average velocity :2r /) ;poxnwc( jbhsuis

  16.18: For any motion in t)q0v6xcs xxqh c47t;i wo dimensions, which one of the following choices identifies qu)s;c7xqv6iqh 4ct x x0antities that must have the same direction?

  09.17: A toy car moves x66u1 izv7ya;jedd( e $3.0\;m$ 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, q)3/dlv)vu +1b igxw5fsiqb 9$y\;vs\;t$, 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 track f nusa58bp- 7ezor total time T in 7b s8z-n5ueap two 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 motion of a car on a straigh;lk1-v37(n-max g,ryxwxzkme8 o:. ldfap ;ot track is shown in the diagram. The thick line represents the velocity. Assume that the car star k8aa. w7 g(xr poox;nv-fl-k1l:ey;dmmxz3 , ts 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 (.5bze cub/*0vgpl m- hek 2klstraight track is shown in the diagram. The thick line represents the velocity. Assume that the car starts at origin e.*zl-b/g mleuk(kpc 2vbh05$x=0$. 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 vtm5u9ik w+0fr s. time graph shown. For what time(s) mif905+u wt rkis the speed of the object greatest?

  10.11: Consider the motion of an object giv ny 5zj4a.oe 2*n1mrgaen by the velocity vs. time graph shown. For which time(s) is the acceleration of the obj*nogj 45nmre a.yz21aect equal to 0?

  10.24: By computing tpx0rk -v 1d*rkma-me. he area under the acceleration vs. time graph for a fixed time interval of an object’s motion, what quantity has be.ak- rm0e1-pkvm* x rden determined for that object?

  11.08: An object moves along a horizontal t/ jgoz2h)udhpe sqt.fb 1g254 o(no*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 irtl 09ubqn/8ec:thynh* cpi.: )xolxm2;ce / n 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 ds *uz,un2ov 2fd,gr0is released 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 ren b6a88 c +0 3-hsv0ozcyrhczsleased 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 2dv meyiicl ;uz;,( k+particle moving along a horizontal axis is shown. What is the total distance traveled by kcuvzie2,; dm(i; ly+the particle from t=0 to t=10s ?

  13.18: Which one of the following choices correctly identif(ky5spv/e 7dl ies all of the listed situations for which thed kyv(ep5 /7lsre 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 ol3/ef 1abcs* u7o*9 hc35h / jskhtykdbject 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 itsh s5u* cbol7 k c3/*yehfsha31 jk/t9d starting position?

  15.17: An object starts at the origin and its 4gx w0qq5* 7eul(thht8c /kf nvelocity along a line vs. time is graphed. Which one of the following choicl0tfcgtqen8 /wk57 4hu xh*(q es best 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 w8e:os7mu n y61b -/jfordpw;fith constant acceleration. At ao8 6wfb;f 1mupy7j d :s-nore/n 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 pozf1;nlidq fohe))k4o(ex 8 i9sition $x$, 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 fo:b6ahe 6jy)4 toq app4llowing choices correctly describes the relbyoa t j 6q:4)peah4p6ationship between the average speed of the truck to that of the car?

  15.42: Which one of the following choices best describes the instants of timebviuob+ v* 9/rge.jrfz,h1s lie; )r;, at which r;zrhovl.e9i+ 1;e, g/ub b* vjf)sir the car and truck travel with the same speed?

  17.30: Two cars P and Q, each start from rest at the ,x2qgrbs ;wk+ykvwi;aoa(,a 3/k p1l .cmtw6 origin and will move along the x-axis. The acceleration vs. time iwklw;or3tx +apv/( sq6cak, 21kw y; mg.,abgraph 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 ai x,ybe +,g.ogn object moving on a horizontal line is shown. At what time(s) is the object moving wi.gx e bgo,+yi,th its greatest speed?

  17.08: A mass moves along the x-axis following the positionwr z8tb u:g+v 0rfmgk,/7i j3w vs. time graph provided. During what timr3 gw7gwmv,zbfu+kr0: ij/ 8te interval(s) does the mass have zero acceleration?