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From the following displacement-time gra...

From the following displacement-time graph find out the velocity of a moving body.

A

`(1)/(sqrt(3)) m//s`

B

`3 m//s`

C

`sqrt(3) m//s`

D

`(1)/(3) m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
In first instant you will apply `v = tan theta` and say,
`v = tan 30^@ = (1)/(sqrt(3)) m//s`.
But it is wrong because formula `v = tan theta` is valid when angle is measured with time axis.
Here angle is taken from displacment axis. So angle from time axis `90^@ - 30^@ = 60^@`
Now `v = tan 60^@ = sqrt(3)`.
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