Phys205A_Lecture4

# Physics for Scientists & Engineers with Modern Physics (4th Edition)

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Lecture 4 Motion in One Dimension

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Instantaneous Velocity, equations z The general equation for instantaneous velocity is z The instantaneous velocity can be positive, negative, or zero 0 lim x t xd x v td t ∆→ ==
Instantaneous Speed z The instantaneous speed is the magnitude of the instantaneous velocity z The instantaneous speed has no direction associated with it Vocabulary Note z “Velocity” and “speed” will indicate instantaneous values z Average will be used when the average velocity or average speed is indicated

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Particle Under Constant Velocity z Constant velocity indicates the instantaneous velocity at any instant during a time interval is the same as the average velocity during that time interval z v x = v x, avg z The mathematical representation of this situation is the equation z Common practice is to let t i = 0 and the equation becomes: x f = x i + v x t (for constant v x ) fi xf i x xx x vo r x x v t tt == =+ ∆∆
Particle Under Constant Velocity, Graph z The graph represents the motion of a particle under constant velocity z The slope of the graph is the value of the constant velocity z The y-intercept is x i

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Average Acceleration z Acceleration is the rate of change of the velocity z Dimensions are L/T 2 z SI units are m/s² z In one dimension, positive and negative can be used to indicate direction , x xf xi xavg fi vvv a tt t ∆− ≡=

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Instantaneous Acceleration z
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Phys205A_Lecture4 - Lecture 4 Motion in One Dimension...

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