Question

How do you find the instantaneous velocity at `t=0` for the position function `s(t) = 6t^2 +8t`?

Answer 1

`8`

Explanation:

The position is given by the function `s(t)=6t^2+8t`.

The velocity is the rate of change of displacement over time, so it'll be the derivative of the position function, i.e. `v(t)=s'(t)=12t+8`.

So, at `t=0`, the instantaneous velocity will be:

`s'(0)=12*0+8`

`=0+8`

`=8`