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03 - Particle kinematics - General 1D motion

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

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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 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 : 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 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.
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