Question

The velocity of the body in s.H.M is given by squareroot of(256-16x square) m/s. Then the maximumacceleration of the body is

Answer 1

Answer:

Explanation:

Given that,

V = √(180–16x)m/s

Squaring both sides,

V^2 = (180–16x)m/s

Differentiating both sides w.r.t t,

2V dV/dt = -16dx/dt

dv/dt = -8dx/vdt ; note: [dv/dt= a & dx/dt =v ]

So, 【a= -8 m/s^2】

Note: -ve sign of acceleration indicate, it is in the opposite direction of velocity known as retardation or deceleration.

Actually,

"Negative" acceleration typically happens in two cases. One of them is from slowing down, and one of them is based on frames of references.

Happy learning !!