Given:

What is the max acceleration on the interval: ? - Answer = 21

Logic: When the graph has a maximum value, then it's derivative will be . So of at maximum points. You simply find which of these points lies within the given interval.

So, - Note is random made up term.

- Solve for t. See which values like within

and would be our acceleration value after plugging into

Now test for max or min using 2nd derivative test:

That is positive so our answer of is a minimum and the graph is concave up.

In this case how to find the maximum?