Question

The displacement, (m), of a body in damped oscillation based on the following functions = 2− . (3) (8) The task is to use the product rule and substitution techniques to find an equation for the velocity of the object if = .

Answer 1

The equation for the velocity of the object in damped oscillation can be found by taking the derivative of the displacement equation.

Step-by-step explanation:

To find the equation for the velocity of the object, we can start with the displacement equation x(t) = X cos(2πt).

Taking the derivative of this equation with respect to time will give us the velocity equation.

Using the product rule, we get v(t) = - 2πX sin(2πt).

So, the equation for the velocity of the object is v(t) = - 2πX sin(2πt)