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Ex_1Dmotion

# Ex_1Dmotion - Particle kinematics General 1-D motion...

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Particle kinematics – General 1-D motion Position x : location of the particle is its coordinate x ( t ). Unit is m. Velocity υ : velocity is associated with change in position (a) Define average velocity υ ave as change in position per unit time: 2 1 2 1 ave x x x t t t υ Δ = = Δ (b) Define instantaneous velocity υ as the time rate of change in position: dx dt υ = Unit is m/s, and Δ x is defined as the displacement. Acceleration a : acceleration is associated with change in velocity (a) Define average acceleration a ave as change in velocity per unit time: 2 1 2 1 ave a t t t υ υ υ Δ = = Δ (b) Define instantaneous acceleration a as the time rate of change in velocity: 2 2 d d a dt dt υ = = x 0 Unit is m/s 2 . Note: (1) Position, velocity, and acceleration are vector quantities. In 1-D motion, all three should have signs that represent the directions. (2) Graphical interpretations: Slope of the secant line on the x - t curve is υ ave and slope of the tangent line is υ .
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