Math Problem Statement

Consider the plot below describing motion along a straight line with an initial position of 10 m. What is the acceleration at 1 second? Answer in units of m/s 2 .

Solution

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Math Problem Analysis

Mathematical Concepts

Kinematics
Acceleration

Formulas

Acceleration = Δv/Δt
Acceleration as the slope of a velocity-time graph

Theorems

Fundamental Theorem of Calculus (for deriving velocity and acceleration from position)

Suitable Grade Level

Grades 10-12