Question

The acceleration of a particle traveling along a straight line is `a = (8-2s) m/s^s`, where `s` is in meters. How do you determine the position of the particle when the velocity is maximum?

Answer 1

I got at `4m`

Explanation:

I would use Algebra and Kinematics here :
I know that acceleration is the derivative of velocity BUT also that if I want the maximum of a function I need to derive it and set the derivative equal to zero;
here I have the derivative of velocity (acceleration) so I set it equal to zero to get:
`8-2s=0`
`s=8/2=4m`

Does it make sense?