Question

The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity (by using the limit) at t = 8 by finding the derivative

Answer 1

Answer:
`v=-3`

Explanation:

Given

The position of a particle is
`s(t)=-9-3t`

Velocity is given by the derivative of position with respect to time

`\Rightarrow v=(ds)/(dt)\\\Rightarrow v=-3`

So, velocity is constant at any point in time.

At t=8, it is
`v=-3`