Apply quadratic functions to physical situations such as projectile motion under gravity.
Determine the meaningful domain for a projectile model
Problem
Projectile model: \(h(t)=-16t^2+64t\). In the context "from launch until landing", what is the meaningful domain?
Big Picture
What this problem is really about
A quadratic accepts every real input algebraically, but a projectile’s meaningful time interval is bounded by physical events. We’ll solve for the ground contacts, identify which one is launch and which is landing, and include only the elapsed times between those endpoints.
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