Problem preview

F-LE.6 Warmup M2-027-A07-V04

Apply quadratic functions to physical situations such as projectile motion under gravity.

Interpret equal-height projectile times by symmetry

Problem

Interpret the equal-height times \(t=3\) and \(t=5\) for \(h(t)=-16(t-4)^{2}+80\). Evaluate the common height, average the times for the peak time, and use each time's position relative to the vertex to label ascent and descent with units.

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t=3 is descending and t=5 ascending.

Both times are at the 80-ft peak.

h(3)=h(5)=64 ft; midpoint and peak time 4 s; t=3 ascending, t=5 descending.

Both times are ascending.

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Curriculum context

Course: Math II
Standard: F-LE.6
Category: Functions
Domain: Linear, Quadratic, and Exponential Models
Objective: Apply quadratic functions to physical situations such as projectile motion under gravity.
Problem type: Interpret equal-height projectile times by symmetry