A ball thrown upward at 24 ft/sec from a platform 16 feet above the ground is s(t) = 16 + 24t − 16t2

Question

I have the functions for velocity and acceleration. How do I find How long it takes (in seconds) for the ball to get back to the platform?

Answer 1

Take fthe first derivative and set equal to 0.

This is the time at which the ball is at the highest.

It takes the same amount of time to get pack to the platform.