Apply quadratic functions to physical situations such as projectile motion under gravity.
Find when a projectile reaches a target height
Problem
Find when projectile \(h(t)=-16t^2+64t\) reaches target height \(48\).
Big Picture
What this problem is really about
A target height becomes an equation between the projectile model and that output level. We’ll solve the resulting quadratic, verify every root in the physical flight interval, and interpret the two intersections as passages on opposite sides of the peak.
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