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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: 游客未登录  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 constant speed zfk w6 zr*rrw,ha(z );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 dzvot+gu4t*(6vp )bepe/b *vq istance per unit time without reference to a particular direction iv ge zet ot*bq46u+v/v*)p p(bs 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 comple1e wylmal0sk vm25do +x-7ry(tes one lap around a circular track at an average speed od1axe(y2r7k lo0m wyv5ml + -sf 50 m/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?

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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. + ijhb;y/;vw njy--w ek33vpf80 m in 1.0 s at the constant velocity. If it continues, how fa - hj3+- fpyye wjkvw;b3i/v;nr 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-kg plank that is sliding at zvfe mckwh2 ;qnod*t.t. 9; f-5.00 m/s to the right across a frictionl9khdzv we q tfmn-;.c2 ;.*ftoess 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 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 at 80 km/h and 400 km at 100 km/h. Whathy f2 z3 lkw4+oje 6qme6p+n6v is the average speed of the ze 4 lhmo26e+6kv jy6np3w+qfmotorist 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 of a toy car traveling along the x-axi*xx 70vtm o3ghuj40 ;su. -3sdpmmkfqs. The graph shown below is a plot oodssmp*.f4jvmx3 t g-u0q0xkm7h 3u; f 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 pus )q6,f*ry5 kplx5trefers to the motion of a toy car traveling along the x-axis. The graph ,ul6s kqp5r yx5f*)ptshown 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?


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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 cy4d+ +h j3qgr4j4mntrefers to the motion of a toy car traveling along the x-axis. The graph shown below is a y jntmr34 + q+cg4hjd4plot 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?


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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 velocity vs. time of a duck flying due south for tf0 t0*a z wn09d7rnkifhe wintet9i nd*7w a0n00ffrk zr. At what point 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 dplv2 m4zeh -t5um 7;px-yg- hto 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 tm45m7-z- -h yhl2u xvpet pgd;he third second?


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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 bel(w vvr*qq+ec*zlxt0 : ow which shows the position and elapsed time of a car starting from rest and uniformly accelerating in a straight lin lx*wvcq(v0*+: erz tqe. The average acceleration during the entire 3 second 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 t ; /2ww3g/ zrort0xdlqime graph for an object with the position time graph shown in the diagram at righto0 wrqg ;//z x32rwdlt?


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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 question refer to the following infokf,7fulb3odyl* 9azs+/ d;c :gv1ptv h,wbg, rmation. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits the floor and rebounds to its orig, shlo:dv b*twv,y 1l9fpcgd 7zk3uf/;+gba, inal height.
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 ft koc0mevudtn :3z* y70gi75hollowing information. An ideal elastic rubber ball is dropped from a height of about 2 meters, hits the floor and re0yt7 7*ivzec 0tmno5ugk:3h d bounds 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 3hli2+3ar ggu5w -ejk with a 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 sceo (mg/0p-ba 5m2 wok.ilaala;as)-n unario: 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 t+xvmp3) ugf/0was h n*he 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?


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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 following sc qbn j*a)b*1vuenario: 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 followin++ gxs1 evrzm;lz2h1-, ix etug 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?


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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 table *1ozom l ljb1+ap.g4otop and off the table edge. Which of the following would best b j.og4o1 1o*pa zml+lrepresent a graph of the magnitude of the ball'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 4wcyag ,wzc rk 7,8zz)0 xm,bkrelationship between distance and time for an object that is moving alonwz g, rw78,c4x,bcyz)0zk mkag a straight line. What is the instantaneous speed of the object at 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 represents the relationship betwe4baj .z8p +coc b1cpp4en distance and time for an object that is moving along a straight line. Between what times did the object hp8 b1 pc+cp.4ob aj4czave 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 straight downward on0 spm.l(b/of2 w:njpx3 inoq) Earth with an initial speed of 12.0 m/s from a position 10.0 m above the ground. Ignoring air resisf 0so/m )n n3.j2bx(:lpwopiqtance, 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 qf*d: f bq0ft5a toy car starting from rest and uniformly accelerating across the floor. The timeqff:q d*b 05tf 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 from yw7, ye ik0zh:rest and uniformly accelerating across the floor. The time and distance traveled fromzew y:0 i7,kyh 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 toy car starting from rest 3cd0m.cmtnm -and uniformly accelerating across th. cdt mcn-30mme 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?


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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 ay3 rr b/z(e9e*se +f.e rcy4x5tnf:f wccelerating ball. The position of the ball each second is indicated. er zwf:rryc(yx.4 f net*f9+/e3 e bs5
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 shows a un n*f s81fhy5adiformly accelerating ball. The position of the ball each second is indic sfdy n51*fh8aated.
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 on a unicycle moving in a straight line mmew2n ;jh w-u(jrb4;is shown in t(w ;2;hm jmw 4b-ejurnhe 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 circus clown on a unicycle moving in wb qs*j(e24rka straight line is shown in the g4r wqsb ej*2(kraph below.
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 free v7owz;ur 5z-kly 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 the motion of a masn8nssr0w emyrb3fnx.1a ,* 0 ;vr:rarble on a table top for 10 seconds. For which time interval(s) didyssnxs 8v, * raem:.30nn1brraw 0rf; 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 the znea3uyw6nub ) - 9mqy2vz85emotion of a marble on a table top for 10 seconds. For which time interval(s) did the marble have a positive5eba2-uwm yn)vyqn 3u6e9zz8 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 motioqnob dug98 ;a52o,lomj 2u dn5n of a marble on a table top for 10 seconds. What is the marbles average accelerab j 82a5m ool5g2oq dnun9du,;tion between t = 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 unif +oen c 9l2bv7z.udtmireu, 8,ormly from rest for 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 sv/(h2h2 pu jda 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 so 4qvh ryvqi8 0:z..vfollowing graphs could correctly represent the motion of an object moving with a constant spe.yvq.r84qv z sio 0:hved 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 motion of (iie,lqmxi 2stq52sbdksa6u 1 ( d e8:a toy car across the floor for 10 seconds. Wh xbtksaqld,si8 es(( 2idiem:q2561u at is 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 describes the motion .nj g*o1h-5capeu :ki of a toy car across the floor for h i-.ce oga*:p5jkn u110 seconds. What was the total displacement of the toy car for the entire 10 second interval shown?


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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 a toy (; eb 9y x)qhifjwee28:rwe- qcar across the floor for 10 seconds. At what times or time intervals must the net fo2rwywi:efqj9 b8 (-eh ex)qe ;rce 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 /x 7f7zfg ssr*gdjt)5 to 60 km/hr in 4.50 s. Which one of the following c7sdsjfgr*)f/7 t x5 zghoices best represents the acceleration of 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 curve shown. Which of th4rjp+sv:u4l3 oj 3cbne following statements regarding its jplurj:3sbc v4 +3 no4motion is NOT CORRECT?


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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 x-axis according z;o whqr7 )c2jto the velocity versus time curve shown to the right. When does the car have zero accelerati owjq2)7rzhc; on?


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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 moved so that the angle b)hz9hfzj:p4qdeau 10(w m pi*8 ryp 7cetween the velocity and the acceleration of the ball is kept at a constant 120 degree. Which statement is true about the tennipw9iezducy)z 1:q h8 f (aj7 h*rp04pms 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 traveling t m9+hj8 j2dlnzoward each other.2+j9djmnz 8 hl
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 acceleration is positiv nxu6z y(jx),de and increzxd 6(nu jy),xasing

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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 i j-.hx4aomjx9s

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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 on;tzcw )kb(jktcgqj*;- o5n g9 e of the following choices identifies quantities that must have then wjc )kqkzog- 9gbctt(*;5j; 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 moved / fx.bm o9ralw6.cmq- a3ce( dap6a7s $3.0\;m$ 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-h,l+ i3 k)a13sf vrjxhtime, $y\;vs\;t$, 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 j ja)avotuh k4i wgq9,9w++ )lthe right along a one-dimensional track for total time T in t+v9wh gjka) ia9u +w4qljt)o,wo 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 vs. time graph for the motion c7 rsp64jl7cysps i d+ilb(r-85 beh ,of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car stabss4-ejll ,i8+p sicp756hy dr( brc7rts 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. time graph for the motion of a car on a straight)x7rsm9g83 ut q0h elk track is shown in the diagram. The thick line represents the velocityt)s0m7lr8 ek9hux q 3g. Assume that the 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 motion of an object given by the position vsq ,me,ljdjm 8/. time graph shown. For what time(s) is the speed of the object grea,l/8e mjjqdm, test?


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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 object given by the velocity vs. time graph q,bcs.p96e i 94c 8tf,q.m jcr9iv splshown. For which time(s) is the accelere,,69q.9mpc .tpis4vlc9 ib q rfcj8sation 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 under the acceleration vs. time graph for a/8gc/o gwdn f ;-cjoe x)o;;ba fixed time intervalg/ acbg-oo/ n xecw;d;fo;) j8 of an object’s motion, 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 al 4gr 1jj*oo ytpc7p.k:ong a horizontal line with increasing speed.
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 par8+z rh,pc4 pxqts:
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 in a time q1sppa/ drv*ie9jj( 6xe+ux(z 7gr, m 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 b - srb8sp x63xe.p6ayis released 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?

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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 vs0agp. y ;zs9v jbjy4f.. time graph of a particle moving along a horizontal axis is shown. What is the total dz4. bj90syay gpv.jf ;istance traveled by the particle 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 correr8*-d98n m8l axwueznmi. b8dctly identifies all of the listed situations for which there is a non-zero ax azln.wm89 *n8eudb rd8 m-i8cceleration?
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 vs. time graph for an object moving along a line isn-9pqw94 hcdl,*m qar shown. The object starts from rest at time t=0 s. At w- 9p*n9mw ahqrd,q cl4hat 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 fl0k .kizl-y: line vs. time is graphed.ifyk.-z :l0 kl Which one of the following choices 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 horizontal track, each with t+lmh x+nh(5 *4fv9s tz2kw:a7ytlnwconstant acceleration. At l n9whw+t:a4mt27st+y k n*f5( zv xlhan 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 haspp 72kf+2 czss 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.

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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 graph, which one of t rha9g-a 4j2k 7enlga*he following choices correctly j2akrg9 a-a47le g*nh describes the relationship between the 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 de+xay 3kl6x*aebn5j. vscribes the instants of time, at wxj.yv5ae*l3b a 6xnk+hich the car and truck travel with the same 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 oxlfitys c h)c5)o: 00lrigin and will move along the x-afccisx)y00lh5 l: )otxis. 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?


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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 mo+52 1bt 7upnnycqb /e:mwmki/ving on a horizontal line is shown. At what time(s) is the object moving wimu2/c:ybqikn +bwp /t715 enm th 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 follbt.kgx/wl8m 6wq43l powing the position vs. time graph provided. Dur8 w bmgw/ 3kxtllp4.6qing what time interval(s) does the mass have zero acceleration?


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