Question

A ball is thrown striaght up from a height of 3 ft with an initial velocity of 40 feet per second. How high will the ball go? Assume that the only force acting on the ball is gravity where the acceleration due to gravity is -32 feet per second per second.

Answer 1

h(t) = 3 + 40t - 16t^2

Now just find the vertex of the parabola.