Problem preview

A-CED.3 Warmup M3-010-A06-V03

Represent constraints and systems, then interpret viable and non-viable solutions in modeling contexts.

Interpret a modeling boundary with equality, inclusion, and feasible side

Problem

A height model satisfies \(h(t)~\ge~0\) on \(0~\le~t~\le~4~\text{seconds}\), with \(h(4)~=~0~\text{meters}\). State the boundary, inclusion, feasible interval, and physical meaning.

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The nonnegative-height flight interval is t≥4 because the physical flight begins at ground contact.

At 4 seconds the object reaches its maximum height of 0 meters.

At 4 seconds, h(4)=0 meters, but only 0≤t<4 is part of the physical flight interval.

At 4 seconds, h(4)=0 meters, and the boundary is included. The nonnegative-height flight interval is 0≤t≤4 because the object reaches the ground at its end.

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Curriculum context

Course: Math III
Standard: A-CED.3
Category: Algebra
Domain: Creating Equations
Objective: Represent constraints and systems, then interpret viable and non-viable solutions in modeling contexts.
Problem type: Interpret a modeling boundary with equality, inclusion, and feasible side