Question

The velocity of a body moving along x- axis is given by v =√( 36+2x) where v is in m/s and x is in metre. Find the distance travelled by it in 2 nd second.

The answer is 7.5 m

Joshi sir comment

dx/dt = √( 36+2x)

so dx/√( 36+2x) = dt

now integrate

limits of x are x1 to x2 and that of time are 1  to 2 

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