Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Velocity Analysis
Critical Points
Formulas
Velocity v(t) = x'(t) = 4t^3 - 48t^2
Critical points: v(t) = 0
Theorems
Sign of the derivative determines the direction of motion
Critical points mark changes in direction
Suitable Grade Level
Grades 11-12
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