1.5 Applications of Quadratic Equations
Miller & Gerken, College Algebra 2e — Pages 144-153
Learning Objectives
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Solve projectile motion problems
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Solve geometry and area problems
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Apply the Pythagorean theorem
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Solve work-rate problems
Key Concepts
Projectile Motion
Height as a function of time:
\[h(t) = -16t^2 + v_0 t + h_0\]
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\(v_0\) = initial velocity (ft/s)
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\(h_0\) = initial height (ft)
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\(-16\) is half of gravity (ft/s²)
Pythagorean Theorem
\[a^2 + b^2 = c^2\]
Work Problems
If A takes \(a\) hours and B takes \(b\) hours:
\[\frac{1}{a} + \frac{1}{b} = \frac{1}{t}\]
where \(t\) is time working together.
Examples
Example 1. Example 1 (p. XX)
Work through textbook example…
Practice Problems
Problem 1 (p. XX, #YY)
Problem:
My Work:
Answer:
Section Summary
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Key point 1
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Key point 2
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Key point 3