1Dmotion - Particle kinematics General 1-D motion Position...

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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 the change in position, Δ x , is also called 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 Unit is m/s 2 . Note: (1) Position, velocity, and acceleration are vector quantities . In 1-D motion x , υ , and a (average or instantaneous) should all have signs that indicate their directions. (2) Graphical interpretations: Slope of the secant line on the x - t curve is υ ave .
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1Dmotion - Particle kinematics General 1-D motion Position...

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