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A person standing close to the edge on top of a 40-foot building throws a ball vertically upward. The quadratic function h = − 16t^2 + 72t + 40 models the ball's height above the ground, h , in feet, t seconds after it was thrown.
a) What is the maximum height of the ball? _____________ feet
b) How many seconds does it take until the ball hits the ground? _____________ seconds