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# Parabola

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A ball travels on a parabolic path in which the height (in feet) is given by the expression −16t^2+60t+21, where t is the time after launch. What is the maximum height of the ball?

Feb 5, 2022

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The max height occurs at $$-b/2a$$. This means that the x-axis of hte peak is $${-60\over-32} = 1 {7\over8}$$

Subsitute $$1 {7\over8}$$ for $$t$$, and you find that the max height is $$\color{brown}\boxed{77.25}$$

Feb 5, 2022