Math Problem Statement

to obtain the motion of a particle let fall from rest in a medium whose resistance varies as the square of the speed.

Solution

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Math Problem Analysis

Mathematical Concepts

Newton's Second Law
Differential Equations
Motion Under Resistance

Formulas

F = ma
v = v_0 + at
F_resistance = kv^2

Theorems

Newton's Second Law of Motion
Drag Force Proportional to the Square of Speed

Suitable Grade Level

Grades 11-12 (High School Physics)