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习题练习:Physics Bowl by Topic 2: Kinematics - part I General Motion



 作者: admin   总分: 72分  得分: _____________

答题人: 匿名未登录  开始时间: 24年03月31日 09:50  切换到: 整卷模式

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1#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  10.10: A particle travels at a con sux/ 3 lti9bow3dnz43stant speed around 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?

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2#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  99.01: The change of distance* jk 40my l;kw8mb-+wrhlanr4 per unit time without reference to a particular direcr+h*-ry4 4 lb;kmka8lwj wn0 mtion is called

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3#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  12.29: A vehicle completes one lap around a circular ti i/1 *fizdd4d 3rtop7rack at an average speed of 50 m/s and o71/4ddz p*tfrid ii3 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?

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4#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  95.03: A toy car moves 0.80 m in 1.0 s at the constant velocity. If :v4ef,v h yi9git continuesv4,hfv iy9e:g, how far will it travel in 3.0 s?

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5#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  05.34: A 40-kg boy is stationary on a 30-2bih 8cobi/m)ma2 8z ikg 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 plank relative )zm8ihoi22m/bbc8 ia to the pond now?

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6#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  97.18: A motorist travels 400 km atiy.1dh e0t86djap tgg,z2yri.h-n 2p 80 km/h and 400 km at 100 km/h. What is the average speed of the motorisjtzh yi6h2gde8t ,g pn.ydapi- 2r 01.t on this trip?

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7#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  97.20: This question refers to the motion rcpcuc-sm520bt 2sv, of a toy car traveling along the x-axis. The grapscmu p0-25t sc cb2rv,h shown below 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?


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8#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  97.21: This question refers to t:dy 0lecrr ug2d)rjw)1()e (k7ijz z zhe motion of a toy car traveling along the x-axis. The graph shown by ez )2k7rzge1dil(c: )(djw 0)rurjz elow is a plot of the car’s velocity in the x direction, $v_x$ versus time $t$.What was the acceleration at 33 s?


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9#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  97.22: This question refers to the motion of a toy car traveling along the x;n1whjavk( r1up33-7ex5dheml ku,ge ; b8n l -axis. The graph shown below is a plot of the car’s velocity in the x direuxb v 3r,;aedg5u;ekn(1 e18mj7l-p3 hwklnhction, $v_x$ versus time $t$.
How far did the car travel during the first 15 seconds?


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10#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  99.15: Given the graph of the velocittrap.h 6h/us+ y vs. time of a duck flying due south for the winter. At what point.6r s /tuhhap+ did the duck stop its forward motion?





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11#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  99.17: This question refer to the diagram below which shows the prt 3*wsf +e/qsosition 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 third seco*t+e3srqfw/s nd?


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12#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  99.18: This question refer to the diagram below which shows th2e+fg-l 9bs gme 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 g9-ms2l egfb +interval is closest to


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13#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  99.20: What is the shape of the velocity tiz(ab,zxw d01uxzt8 9yh4ky q; me graph for an object with the position time graph shown in the diagram au1y8 z4;wbdy 0hx zk,qxza (9tt right?


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14#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  00.28: The following questbv7n*1qc wco6ion refer to the following information. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits the floor and rebounds to its original heighqc *o7n1c 6bvwt.
Which of the following graphs would best represent the distance above the floor versus time for the above bouncing ball?


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15#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  00.29: The following question refer to the following informatiohk esl3k(*9t qn. An ideal elastic rubber ball is dt3q9k*klsh e (ropped 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?


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16#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  00.39: If a boat can travel with ar-i/p2wsr 2m s speed of $v$ in still water, which of the following trips will take the least amount of time.

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17#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  01.01: The question refers to the following scenscul: p1 m)0qfhf e.8fario: 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?


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18#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  01.02: The question refers to the following 4:0a vou0kbh:f+dwf4ri/fdxnw ). q i 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?


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19#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  01.03: The question refers to the )i:rea *q 8 1ffkyzuw: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?


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20#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  01.04: The question refers to the following scenari .y) wq9hip+w5/ +8zowvm njlvo: 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?


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21#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  01.33: A small ball rolls down a ramp, across a horizontal tabl7 wqcl*znu n2a*3d8 ope top and off the table edge. Which of the following would best represent a graph of the magnitude of the ba2qoc3*n*lz d apw7n8u ll's acceleration vs time?


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22#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  02.01: The graph represents the relationship between distance and time for anj..mh :x+sva7)c /j.pgt bbmo object that is moving along a straight line. What is the instantaneous speed of the object ath.p 7jctsmmbg.bo /.) a :+xjv t = 5.0 seconds?


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23#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  02.02: The graph repmamv67fenxu b w9)n,* resents the relationship between distance and time for an object that is mofvu67emx)*mnn ,wa b9ving along a straight line. Between what times did the object have a non-zero acceleration?


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24#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  10.07: A small object is thrown straigooepd4w) k .udtj )7ypk97 +koht downward on Earth with an initial speed of 12.0 m/s from a position 10.0 m above the groundu 7)7w 4po)j +yoktk kpo.e9dd. Ignoring air resistance, the speed of the object when it reaches the ground is

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25#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  02.11: The diagram below represents a to6 n*xqtglhp o6 aq66.ex/z( hvy car starting from rest and uniformly accelerating across the floor. l6t 6.a /xeh6 hxpq gqv(z6on*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?


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26#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  02.12: The diagram below represents a toy car starting f3 fbo5 v 5/b(z*vyyebfrom rest and uniformly accelerating across thfb b5zfe/v *v5( oyy3be 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?


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27#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  02.13: The diagram below represents a toyxi; vs ya5u k*)uy+ )x29skxsq car starting from rest and uniformly accelerating across the floor. The time and distance travey)a)9uki*x2s v5 yxus qx;+ksled from the start are shown in the diagram.
What was the instantaneous velocity of the cart at 96 centimeters from the start?


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28#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  04.08: The diagram shows a uniformly accelerating ball. The position of thye5 +w o(/b pu72wqggoe ball each second is iny qoeo(g5w w7/ub2p+gdicated.
What is the average speed of the ball between 3 and 4 seconds?


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29#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  04.09: The diagram sh7d.tv1c(n-l2n8yupqt;mr 5x p(stz t0 lqy2sows a uniformly accelerating ball. The position of the ball 5up qty( .s m2(7xv1 tt; n-tcy8ndrlszpq 0l2each second is indicated.
Which of the following is closest to the acceleration of the ball?


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30#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  02.17: The motion of a circus clown ibg)4z8 *ld(o* dm tebon a unicycle moving in a straight line is shown in o4 zdebmg )(b*8t i*ldthe graph below.
What would be the acceleration of the clown at 5 s?


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31#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  02.18: The motion of a o:b z vft 50jk8n/gb)l v9mt0hcircus clown on a unicycle moving in a straight line is shown in the graph below.zbv ho5b0m8)fg0n/ttvljk :9
After 12 seconds, how far is the clown from her original starting point?


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32#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  03.04: When an object falls vir jsn(6 +.pulh *h)rfreely in a vacuum near the surface of the earth

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33#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  03.11: The accompanying graph describes th5yo3n0xx dblhe(da sr+ 0i ml5(kqe9tu1,x * de motion of a marble on a table top for 10 seconds. For which time intervas 5h qxl,dob(3mnrx0a+tl*i1e5 x dd9e(uy0k l(s) did the marble have a negative velocity?


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34#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  03.12: The accompanying graph describes th,oxcz0lj pc -wi3;/h xe motion of a marble on a table top for 10 seconds. For which time 03 w,xc/o-lj zc hx;piinterval(s) did the marble have a positive acceleration?


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35#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  03.13: The accompanying graph describes the mokse;*cp. (f a.piz. )xqb;cry tion of a marble on a table top for 10 seconds. What is the marbles average acceleration between t = ..pfc k.cbiz;*xasq y pre);( 3.3 s and t = 3.8 s


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36#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  03.20: A car accelerates uniformly from rest foq.xm jg*og;9a) pca 6y6nc0z 9am)eurr a time of $2.00\;s$ through a distance of $4.00\;m$. What was the acceleration of the car?

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37#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  16.06: An object, thrown straight downward with rmmt20cph hk9e9ar om6d *e+4 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.

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38#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  04.03: Which of the following graphs could correctly represent the mo3 pe+:-v taxwe:/4yh4n ;rsanj1 ents tion of an object movisnepejhr ayt13:- nxs/4 ;v:+ 4aenw tng with a constant speed in a straight line?


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39#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  03.24:The accompanying graph describes the 3ne 6srf (4nemew+ e*xmotion of a toy car across the floor for 10 seconds. What is xnee*6snee ( m+4wf3r the acceleration of the toy car at t = 4 s?


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40#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  03.25:The accompanying graph di-zo;fkad-6d h x. +daescribes the motion of a toy car across the floor for 10 seconds. What was the total displacement of the toy car for the entire 10 second interval sxd --zdaah if6ok;+ .dhown?


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41#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  03.26:The accompanying graph describes the motion of a0on6h0f4rp-*i,yxra em n 8ze toy car across the floor for 10 seconds. At what times or tie00,om4 in pfeaz8 r6-xyrh *nme intervals must the net force on the toy car be zero?


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42#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  16.03: A car accelerates uniformly from 0 km/hr to 60 km/hr in 4.50 01e3mqjbu -o0 wwgclq; g0*lvs. Which one of the following choices best represents the acceleration ol- w gw00q0g *;m1louebj vqc3f the car?

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43#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  06.07: A car has the velocity versus time curvr( 0tqlm(wm b:e shown. Which of the following statements regarding its motion is NOT CORRECT m0bq:tw(rml (?


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44#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  07.17: A toy car moves along the xizi 7okm)r(0r*j rk4 qf/ns +v-axis according to the velocity versus time curve shown to the righ +4/o )q 0jkz*mkv s(n7friirrt. When does the car have zero acceleration?


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45#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  06.22: During an interval of time, a tennis ball is movxh0jd;azm k2 ) 5.phintp axw8g0:o:ded so that the angle between the velocity and the acceleration of the ball is kept at a constant 120 0: i 2 thah5owp8)d.xxnj k:apgzdm;0degree. Which statement is true about the tennis ball during this interval of time?

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46#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  07.03: Two automobiles are 150 kilometers apart and travzg.dkz(;u*jg eling toward each other.jz.z( d*;kggu
is moving at 60 km/h and the other is moving at 40 km/h. In how many hours will they meet?

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47#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  07.04: A particle moves on the x-axis. When the accelerationjx33-hi u*aui is positive and increasih*3j ai3ux i-ung

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48#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  07.12: The definition of average velocity isih 4gf0r i7klim5o .,d

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49#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  16.18: For any motion in two dimensions, which onfd)kzu v,l/ 1ke of the following choices identifies quak, ud1flv/z )kntities that must have the same direction?

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50#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  09.17: A toy car movecxljgl uooi /h22 zp52)k-1kr s $3.0\;m$ 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?

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51#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  07.05: The position-tim 3dkly8k+9tgx( du)fie, $y\;vs\;t$, graph for the motion of an object is shown. What would be a reasonable equation for the acceleration that would account for this motion?


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52#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  09.31: A car moves to the right along a one-dimensional track for total tim sk uzh+,sg9sc 50vel,e T in9,u5 chs elzk+, svsg0 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?

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53#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  08.23: The velocity v rygecd3/*-zp s. time graph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume t/z-p gyd*3erchat the car starts at origin $x=0$. At which time is the car the greatest distance from the origin?


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54#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  08.24: The velocity vs.w cjs6ec1iqy/v ve b)e84yb:3 time graph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that 6evjw: 1 y ec 8/yesibv4q3)bcthe car starts at origin $x=0$. What is the average speed of the car for the 10 second interval?


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55#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  09.08: Consider the mn 3g wm)aeqil70xvb0 (otion of an object given by the position vs. time graph shown. For what t)q in0bex7mv 0w gl(a3ime(s) is the speed of the object greatest?


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56#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  10.11: Consider the motion of an obj.3nbxf5kyy*9 ti z *wqect given by the velocity vs. time graph shown. Fo w ynzfi95y*tx3kb*.qr which time(s) is the acceleration of the object equal to 0?


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57#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  10.24: By computing the area undee5oc6yhxd j,+ r the acceleration vs. time graph for a fixed time interval of an object’s motione y6o dhj5+x,c, what quantity has been determined for that object?

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58#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  11.08: An object moves along a horizontal line with increasing speedaq 93vk nzgbif- w:1+sy,xj4y.
choices could represent the signs of the velocity and of the acceleration for the object to achieve this motion?

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59#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  11.14: A car makes a trip in two(o6qztbto1y7ha5or,o /pk) w 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?

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60#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  13.02:A small object is released from rest and reaches the ground *ezq6gin:9x jv4 jefepi09 2r in a time of $2.50\;s$. Neglect air resistance. With what speed does the object reach the ground?

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61#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  13.03:A small object is released from rest an crc 7w d-10)j bkcj/tldc55zud reaches the ground in a time of $2.50\;s$. Neglect air resistance. From what height above the ground was the object released?

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62#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  13.17: A position vs. time graph of a particle moving along a horizg;q yg+ *zpu2gu)h h*s2cref: ontal axis is shown. What is the total distance traveled by the partihr *u)e gggy:uhzfcsq+ 22 *p;cle from t=0 to t=10s ?


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63#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  13.18: Which one of the following choices correctly identifies zs se)q965:qpsi;d l,o 4.j1txxxiwm all of the listed situations for w o xd9m6q)it5 xj ;lsw.1ixq,ep4:sszhich 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.

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64#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  13.32: An acceleration vsvdv2kd7c n3u fjlz 2tx.--jm.. time graph for an object moving along a line is shown. The object starts from rest at tdc jz32xufv tm-v7kdn..2 j -lime t=0 s. At what time(s) does the object attain a maximum displacement from its starting position?


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65#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  15.17: An object starts at the origin and its velocity along a line 5f9oso bp3)vivs. time is graphed. Which one of the following chois3)b 5 o9fovipces best gives the proper interval(s) of time for which the object is moving away from the origin?


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66#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  15.09: Two cars are moving to the right on a horizo yuo6 cd-ta)8rntal track, each with constant accel)c 68-otr yudaeration. 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?

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67#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  15.14: A particle has a pos2( z+ g 9oud01omvbyhpition $x$, 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.

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68#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  15.41: For the entire time shown in the 1y,n jq)pwh7, xklh+c: zts1e graph, which one of the following choices correctly describes the relationship between tn7k,j+w1 :q) exsyh hp1,ltcz he average speed of the truck to that of the car?


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69#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  15.42: Which one of the following choices best describes the instan ys 3xi*p4cut8ts of time, at which the car and truck travel with the samecty s438 pu*ix speed?

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70#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  17.30: Two cars P and Q, each start from rest at the orpavwpdw*d,cw jt01 e7 -lyr 84igin and will move along the x-axis. The acceleratio8w0ldy,*vrpwae7pw-4 1c dj tn 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?


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71#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  16.02: The position vs. time graph of an object moving on a horizontceo c h5is7d++64pk.hxw msjc*0n( knomo2 3qal line is shown. At what time( mo(kw3i m7.jh* oc6 ph2kns4qn+c5exdoc0s+s) is the object moving with its greatest speed?


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72#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  17.08: A mass moves along the x-axis following the position vs. time graph ia j+y1y-qpur:j;nvcbf/:4d provided. During what time interval(s) :-;v un/qib j+fcrya14p:dy j does the mass have zero acceleration?


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