## Related questions with answers

The more aerodynamic a vehicle is, the less fuel the vehicle’s engine must use to overcome air resistance. To design vehicles that are as fuel efficient as possible, automotive engineers use the formula R =0.00256 $\times D_C \times F_A \times s^2$ where R is the air resistance (in pounds), $D_C$ is the drag coefficient, $F_A$ is the frontal area of the vehicle (in square feet), and s is the speed of the vehicle (in miles per hour). The formula assumes that there is no wind. Find the drag coefficient of a car when the air resistance is 50 pounds, the frontal area is 25 square feet, and the speed of the car is 45 miles per hour.

Solution

VerifiedSubstitute the given values of $R$, $F_A$, and $s$.

$\begin{aligned} D_C = \frac{50}{0.00256 \cdot 25 \cdot (45)^2} \end{aligned}$

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