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The velocity-time graph of a particle mo...

The velocity-time graph of a particle moving along a straight line is shown id Fig. 2 (b) . 33. Calculate the distance covered between ` t= 0 ` to `t= 10 seconds`. Also find displacement tn time ` 0 to 10 seconds`.
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The area enclosed by velocity-time graph woth tiem asis measures the distance travelled in a give tiem . Displacement covered frp, ` 0 to 6 sec` is positive, from ` 6` to `8` sec in negative and from ` 8` to `10 sec` is positive. Whereas distance coverd is always covered in ` 10 s` ltbRgt ` = 1/2 xx 6 xx 20 + 1/2 22 xx 20 + 2 10 = 100 m` ltbRgt Total dispalcement in `10 s`
` = 1/2 x 6 xx 20 - 1/2 xx 2 xx 20 + 2 xx 10 = 60 m`.
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Knowledge Check

  • The position - time graph for a particle moving along a straight line is shown in figure. The total distance travelled by it in time t = 0 to t = 10 s is

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    B
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    D
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