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 v $v$, the drag D $D$(in N) on the plane is D = a v 2 + b v 2 $D=a{v}^{2}+\frac{b}{{v}^{2}}$, where a = 5. [ a ] 0 × 10 3 $a=5.\left[a\right]0×{10}^{-3}$and b = 3.0 [ e ] × 10 8 $b=3.0\left[\text{e}\right]×{10}^{8}$. Find the value(s) of v $v$(in km/h), for which the drag is the least. Round the answer to one decimal place. Both coefficients, a $a$ a and b $b$ b, already account for the unit conversion (from m/s to km/h).

Example:if [ a ] = 2 $\left[\text{a}\right]=2$, then 5. [ a ] 0 = 5.20 $5.\left[\text{a}\right]0=5.20$, and if [ e ] = 7 $\left[\text{e}\right]=7$, then

a=5

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