Math Problem Statement

The drag force on a boat varies jointly as the wetted surface area and the square of the velocity of a boat. If a boat going 6.5 mph experiences a drag force of 86 N when the wetted surface area is 41.2 ft², how fast must a boat with 28.5 ft² of wetted surface area go in order to experience a drag force of 94N?

Solution

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Math Problem Analysis

Mathematical Concepts

Joint Variation
Algebra

Formulas

F = k * A * v^2

Theorems

Joint Variation Theorem

Suitable Grade Level

Grades 10-12