Lecture 2 - 1-d Motion: Position & Displacement The...

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Department of Physics PHY 2048 Chapter 2.1 1-d Motion: Position & Displacement We locate objects by specifying their position along an axis (in this case x-axis). The positive direction of an axis is in the direction of increasing numbers. The opposite is the negative direction. The x-axis: Displacement: The change from position x 1 to position x 2 is called the displacement, Δ x. Δ x = x 2 –x 1 Graphical Technique: The displacement has both a magnitude, | Δ x|, and a direction (positive or negative). A convenient way to describe the motion of a particle is to plot the position x as a function of time t ( i.e. x(t)). time t x(t)
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Department of Physics PHY 2048 Chapter 2.2 1-d Motion: Average Velocity Average Velocity 1 2 1 2 1 2 1 2 ) ( ) ( t t x x t t t x t x t x v v ave = = Δ Δ = = The average velocity is defined to be the displacement, Δ x, that occurred during a particular interval of time, Δ t ( i.e. v ave = Δ x/ Δ t). Average Speed The average speed is defined to be the magnitude of total distance covered during a particular interval of time, Δ t ( i.e. s ave = (total distance)/ Δ t).
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Department of Physics PHY 2048 Chapter 2.3 1-d Motion: Instantaneous Velocity t t+ Δ t { t x(t+ t) x(t) shrink t t x
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Department of Physics PHY 2048 Chapter 2.4 1-d Motion: Instantaneous Velocity t t+ Δ t { t x(t+ t) x(t) shrink t t x
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Department of Physics PHY 2048 Chapter 2.5 1-d Motion: Instantaneous Velocity t t+ Δ t { t x(t+ t) x(t) shrink t t x
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Department of Physics PHY 2048 Chapter 2.6 1-d Motion: Instantaneous Velocity t t+ Δ t { t x(t+ t) x(t) shrink t t x
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Department of Physics PHY 2048 Chapter 2.7 1-d Motion:
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Lecture 2 - 1-d Motion: Position & Displacement The...

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