Quadratic equations describe the motion of a baseball after it connects with a bat, and the acceleration of gravity at the Earth's orbit.

In 36 years, Frank will be half the square of the age he was 4 years ago. How old is Frank now?

A firework is shot from the top of a hill that is 60 feet above a lake. The firework's height above the surface of the lake \(t\) seconds after launch is given by

\[ h = - 16t^2 + 160 t + 60 \]

Given that the firework explodes at the highest point of it's path, at what height above the surface of the lake will it explode?

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