Apply quadratic functions to physical situations such as projectile motion under gravity.
Find the maximum height of a projectile from its quadratic model
Problem
Find maximum height of projectile \(h(t)=-16t^2+64t+5\).
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What this problem is really about
A negative leading coefficient makes the projectile’s vertex a peak, but the vertex has both a time coordinate and a height coordinate. We’ll locate the peak time, evaluate the model there, and report the resulting output with the physical height units the question requests.
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