Quadratic Functions

In football, when a field goal attempt is kicked, it leaves the ground on a path for which the height of the ball h in feet at any time

t seconds later might be given by a function like h = 45t – 16t^2

a. Write and solve an equation that tells time(s) when the ball hits the ground at the end of its flight.

b. Write and solve an equation that tells time(s) when the ball is at the height of the end zone crossbar (10 feet above the ground).

c. Find the maximum height of the kick and when it occurs.

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