Question

The position of an object at time t is given by s(t) = -1 - 13t. Find the instantaneous velocity at t = 8 by finding the derivative.

Answer 1

You're supposed to differentiate:

\[\frac{ d }{ dx } x^{n} = n x^{n-1} \]

In your case

\[s(t) = -1 - 13t\]

\[v = \frac{ ds }{ dt } = -13 \]

Answer 2

Oh okay. So then d is what again? Been a bit since done a problem like this.