CIN application problem

CIN application problem

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=av2+bv2

$D=a{v}^2+\frac{b}{v^2}$ , where

a=5.[a]0×10−3

$a=5.\left[a\right]0\times {10}^{-3}$ and

b=3.0[e]×108

$b=3.0\left[\text{e}\right]\times {10}^8$ . 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

e=9