---
title: "A model car’s engine exerts a forward force that varies with speed \\(v\\) according to the function \\(F(v) = F_0 – kv\\), where \\(F_0\\) and \\(k\\) are positive constants. Which of the following expressions represents the maximum instantaneous power delivered by the engine?"
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url: "https://nerd-notes.com/ubq/117550/"
date_modified: "2026-08-04T07:49:00+00:00"
---

# A model car’s engine exerts a forward force that varies with speed \(v\) according to the function \(F(v) = F_0 – kv\), where \(F_0\) and \(k\) are positive constants. Which of the following expressions represents the maximum instantaneous power delivered by the engine?

A model car's engine exerts a forward force that varies with speed \(v\) according to the function \(F(v) = F_0 - kv\), where \(F_0\) and \(k\) are positive constants. Which of the following expressions represents the maximum instantaneous power delivered by the engine?

- **A.** \(\dfrac{F_0^2}{k}\)
- **B.** \(\dfrac{F_0^2}{2k}\)
- **C.** \(\dfrac{F_0^2}{8k}\)
- **D.** \(\dfrac{F_0^2}{4k}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117550/*