Apply quadratic functions to physical situations such as projectile motion under gravity.
Find when a projectile reaches its maximum height from a quadratic model
Problem
Find when projectile \(h(t)=-16t^2+64t+5\) reaches maximum height.
Big Picture
What this problem is really about
Because the question asks when the maximum occurs, the needed quantity is the vertex input rather than its output. We’ll identify the quadratic coefficients, apply the axis formula with careful signs, and check the time against the trajectory’s symmetry and physical domain.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
