Math Problem Statement
Consider an elevator starting on the 2nd floor and moving to the 5th floor without stopping at in-between floors. Sketch a graph of its position function, its velocity function, and its acceleration function.
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Derivatives
Kinematics
Formulas
Position function: s(t) = 2 + (3/T) * t
Velocity function: v(t) = 3/T
Acceleration function: a(t) = 0
Theorems
Derivative of a Linear Function
Suitable Grade Level
Grades 9-12
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