Question

What is the acceleration of velocity v = 2 (X sin X+ cos X) power 1/2?​

Answer 1

Explanation:

Umm, try differentiating velocity with respect to to time

dv/dt = 2× √XsinX + cosX

= 2× d/dt(y^1/2)

= 2×1/2 × (y^-1/2 × dy/dt) ...... equation 1

y = xcosx + sinx

so dy/dt = dx/dt×cosx + x (-sinx×dx/dt) + cosx × dx/dt

= 2×vcosx - xsinx × v, put this in equation 1

dv/dt = {1/√(xsinx + cosx)}×v{2cosx - xsinx}