Math Problem Statement
A particle moves with a velocity of v(t) = √t − 2 meter/second on a coordinate line. Find the displacement and the distance travelled by the particle during the given time interval 0 ≤ t ≤ 3
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Integration
Kinematics
Formulas
Displacement: ∫ v(t) dt
Distance traveled: ∫ |v(t)| dt
Velocity function: v(t) = √t - 2
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
Grades 11-12
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