Question

The position of an object at time t is given by s(t) = -4 - 2t. Find the instantaneous velocity at t = 6 by finding the derivative.

Answer 1

the derivative of the function is -2, so that's the instantaneous velocity

Answer 2

The instantaneous velocity s(6) = -2

Explanation:

The position of an object at time t is given by s(t) = -4 - 2t ........(1)

Now, finding the derivative of the given time function s(t)

Now, Differentiating (1) with respect to t

⇒ s'(t) = -2

Since, The differentiating function is constant

At t = 6, The instantaneous velocity s(6) = -2