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: 21 ave x x x ttt υ Δ == Δ− (b) Define instantaneous velocity υ as the time rate of change in position: dx dt = 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: ave a tt t Δ (b) Define instantaneous acceleration a as the time rate of change in velocity: 2 2 dd a dt dt 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 . Slope of the secant line on the υ - t curve is a ave and
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This note was uploaded on 04/12/2008 for the course PHYS 2305 taught by Professor Tschang during the Spring '08 term at Virginia Tech.

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