A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the height h (in feet) of the football at time t (in seconds). Which statement about the height of the football is true? A. The football does not reach a height of 15ft B. The football reaches a height of exactly 15ft C. The football reaches a height that is greater than 15ft

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

:

i.e we first solve for

Then substitute for x in

In our case:

First we need to solve

Then substitute for t in

By comparison:

Substitute for t in

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

yo answer should be 6 if im not mistaken

step-by-step explanation: