Apply quadratic functions to physical situations such as projectile motion under gravity.
Build a complete projectile sketch record
Problem
Build the complete physical-flight sketch record for \(h(t)=-16t(t-4)\). Solve the factors for launch and landing times, use their midpoint and substitution for the vertex, determine opening, and restrict domain and range to the actual flight.
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What this problem is really about
A reliable projectile sketch begins with a complete feature record rather than a guessed arc. We’ll find the ground contacts, use their midpoint and a function value for the vertex, determine the opening, and restrict the domain and range to the physical flight with correct units.
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