Question

What is instantaneous acceleration? Let me know by derivative. Thanks in anticipation.

Answer 1

See below

Explanation:

Instantaneous acceleration is acceleration at a certain time. It can be found by taking the derivative of velocity.

So for example, let's say we have a velocity function of `v(t)=3t^2+7` and we want to find the acceleration at `t=3`. All we have to do is take the derivative of that and plug in `3`. So our instantaneous acceleration function would be:

`a(t)=6t`

And plugging in `3` would give:

`a(3)6(3)=18`