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

Mar 30, 2017

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 $v \left(t\right) = 3 {t}^{2} + 7$ 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:

$a \left(t\right) = 6 t$

And plugging in $3$ would give:

$a \left(3\right) 6 \left(3\right) = 18$