---
title: "An aircraft moves in horizontal flight at a constant speed \\(v\\). The magnitude of the resistive aerodynamic drag force acting on the aircraft is modeled by \\(F_D = bv^2\\), where \\(b\\) is a constant. If the aircraft maintains level, unaccelerated flight at a new constant speed of \\(2v\\), by what factor must the mechanical power delivered by the engines increase?"
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url: "https://nerd-notes.com/ubq/120628/"
date_modified: "2026-08-23T04:42:17+00:00"
---

# An aircraft moves in horizontal flight at a constant speed \(v\). The magnitude of the resistive aerodynamic drag force acting on the aircraft is modeled by \(F_D = bv^2\), where \(b\) is a constant. If the aircraft maintains level, unaccelerated flight at a new constant speed of \(2v\), by what factor must the mechanical power delivered by the engines increase?

An aircraft moves in horizontal flight at a constant speed \(v\). The magnitude of the resistive aerodynamic drag force acting on the aircraft is modeled by \(F_D = bv^2\), where \(b\) is a constant. If the aircraft maintains level, unaccelerated flight at a new constant speed of \(2v\), by what factor must the mechanical power delivered by the engines increase?

- **A.** \(2\)
- **B.** \(4\)
- **C.** \(6\)
- **D.** \(8\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120628/*