Solution: Given $ v(t) = t^2 - 4t + mt $ and $ v(2) = 8 $, substitute $ t = 2 $:

Thu, 30 Apr 2026 10:08:39 +0000

Title: How to Solve for $ m $ in the Velocity Function $ v(t) = t^2 - 4t + mt $ Using the Condition $ v(2) = 8 $ When working with mathematical models in physics or engineering, functions like $ v(t) $ represent velocity over time. In this article, we’ll explore how to solve for an unknown parameter — $ m $ — in the velocity function $ v(t) = t^2 - 4t + mt $, using a given condition: $ v(2) = 8 $. Substituting $ t = 2 $ is a key step in determining $ m $, and this technique is fundamental in both algebra and applied mathematics. --- ### What is the Problem?