CIN application problem

User Generated

tfnzhry167

Mathematics

Description

In the discussion area, solve your custom application problem using the concepts you have learned. Apply your CIN in the bracketed spaces (the first digit is [a], the second digit is [b], and so forth.)

Use Math Editor to enter formulas and mathematical expressions.

Problem

If an airplane is moving at velocity vvv , the drag DDD (in N ) on the plane is D=av^2+\frac{b}{v^2}D=av2+bv2D=av2+bv2 , where a=5.\left[a\right]0\times10^{-3}a=5.[a]0×103a=5.[a]0×103 and b=3.0[\textbf{e}]\times 10^8b=3.0[e]×108b=3.0[e]×108 . Find the value(s) of vvv (in km/h), for which the drag is the least. Round the answer to one decimal place. Both coefficients, LaTeX: aaaa and LaTeX: bbbb, already account for the unit conversion (from m/s to km/h).

Example: if [\textbf{a}]=2[a]=2[a]=2 , then 5.[\textbf{a}]0=5.205.[a]0=5.205.[a]0=5.20, and if [\textbf{e}]=7[e]=7[e]=7, then 3.0[\textbf{e}]=3.07

a=5

e=9

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Explanation & Answer

Wasn't sure if you wanted both real roots or just the positive one (probably just the positive one), so I included both.

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Anonymous
Excellent resource! Really helped me get the gist of things.

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