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

Options

A. `(1)/(sqrt(3)) m//s`
B. `3 m//s`
C. `sqrt(3) m//s`
D. `(1)/(3) m//s`

Answer

C

Explanation

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)`.