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

1 Answer
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(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#