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?

1 Answer
May 20, 2016

Answer:

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?