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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 in the figure. In the time interval from `t=0` to `t=8` second, answer the following three question.

The distance travelled by the particle is :

A

18 m

B

6 m

C

8 m

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Distance travelled
`=(1)/(2)xx4 xx(2+4)(1)/(2)-xx 2 xx(2+4)=6m`
magnitude of displacement
`=(1)/(2)xx 4xx(2+4)(1)/(2)-xx 2xx(2+4)=6m`
average speed `= (18)/(8)`
`|"average velocity"| = (6)/(8)`
`("maximum speed")/("average speed")=(4)/(18)xx8=(16)/(9)`
And `(|"maximum velocity"|)/(|"average velocity"|)=(4)/(6) xx8 =(16)/(3)`.
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