Question

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

Answer 1

The instantaneous velocity at
`t = 2` is
`-6`.

Explanation:

We have the position as the function

`s(t) = -2 - 6t`

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.

so finding the derivate of
`s(t) = -2 - 6t`

∴
`s'(t)=-6`

The instantaneous velocity at
`t = 2`

`s'(2)=-6`

Therefore, the instantaneous velocity at
`t = 2` is
`-6`.

Please note that the negative value indicates the direction of movement, in this case, it would be backward.