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The speed -time graph of a particle movi...

The speed -time graph of a particle moving along a fixed direction id shown ifn Fig. 2 (b) . 31. Fid (i) distance travelled by the particle between ` 0 sec` to ` 10 sec` (ii) average speed between thid interval (iii) the time when the speed was minimum (iv) the time when the speed was maximum.
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(i) Distance trvallled by particle in time interval `0 ` to ` 10` seconds is
S=area under velocity-time graph ltBrgt ` 1/2 xx ( 10 - 0) xx ( 12 -0) = 60 m`
(ii) Average speed ,
` v_(av) = ( Total distance travelled) / ( total time taken) = ( 60)/( 10) = 6 ms^(-1)` ltbRgt (ii) Speed of particle is minimum at ` t= 0 s` and ` t= 10 s`
(iv) Speed of particle is maximum at ` t= 5s `.
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Knowledge Check

  • The speed-time graph of a particle moving along a fixed direction is shown in the Fig. 2 (CF) . 15. The distance traversed by the particle between t= 2 s 6 s is . .

    A
    ` 26 m`
    B
    ` 36 m`
    C
    ` 46 m`
    D
    `56 m`
  • The speed-time graph of a particle moving along a fixed direction as shown in the figure. The distance traversed by the particle between t = 0 s to t = 10 s is

    A
    20 m
    B
    40 m
    C
    60 m
    D
    80 m
  • The speed-time graph of an object moving in a fixed direction is shown in figure 2.E3. The object

    A
    is at rest
    B
    moves with a constant speed
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