Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Kinematics
Rotational Dynamics
Conservation of Energy

Formulas

Kinetic energy for rolling objects: K = (1/2)mv^2 + (1/2)Iω^2
Moment of inertia for solid and hollow spheres and cylinders
Range of projectile motion: L = v * t

Theorems

Conservation of Mechanical Energy
Moment of Inertia Calculations

Suitable Grade Level

Undergraduate Physics