Apply quadratic functions to physical situations such as projectile motion under gravity.
Evaluate a projectile design requirement
Problem
Evaluate this projectile design requirement: model \(h(t)=-16(t-2)^{2}+64\); requirement: clear a \(50\text{-}\text{ft}\) obstacle at \(t=2\).
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What this problem is really about
A design requirement becomes a precise comparison at a specified physical time. We’ll confirm that time lies within the flight, evaluate the height there, test the required strict inequality, and subtract to quantify the clearance margin.
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