Relate the domain of a quadratic function to its graph and situation.
Determine the meaningful domain of a quadratic projectile model
Problem
What is the meaningful domain for the projectile model \(h(t)=-16t^2+64t\) if it represents height from launch until ground?
Big Picture
What this problem is really about
For a projectile, the meaningful time domain is the continuous span from launch to the next ground-level event. We’ll set height equal to zero, interpret the resulting boundary times, and use whether launch and landing belong to the described motion to determine endpoint inclusion.
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