Question

Baseball is hit vertically over home plate. The ball's height h (in feet) above the ground is modeled by , where t is measured in seconds. 2ht t t ( ) 16 48 4 =− + + 1. What is the initial height of the baseball?

Answer 1

The initial height of the base ball based on the equation for the height of the base ball,
`h = -16t^2 + 32t + 3` is 3 ft

Explanation:

For clarity, if we put the equation of the height of the base ball as

`h = -16t^2 + 32t + 3`

Then the initial height of the base ball will be at the point t = 0

That is

`h = -16(0)^2 + 32(0) + 3` or

h = 3 ft

The initial height of the base ball based on the equation for the height of the base ball,
`h = -16t^2 + 32t + 3` is then = 3 ft.