Question

A particle oscillates along X-Axis according to equation x=0.05 Sin(5t-π/6) where x is in metres and t is in seconds. Find its velocity at t=0.

CBSE, Physics, Class 11

Answer 1

The velocity of particle at t = 0 is V =0.216 m/s

Explanation:

For velocity

We can find the velocity by using the following relationship

V = d x/dt = 0.05 cos(5t- pi/6) x 5

Hence at t = 0

V = 0.25 cos (-pi/6)

V = 0.25 x (1/2) x √3

V = 0.125 x √3

V = 0.125 x 1.73

V =0.216 m/s

The velocity of particle at t = 0 is V =0.216 m/s

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