03 - Velocity & Acceleration

03 - Velocity & Acceleration - Chapter 2: velocity and...

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Chapter 2: velocity and acceleration For next time: Read: 2.4-2.5 Homework: Chapter 2 Problems 1, 8, 10
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Tutorial Instructors: Wednesday Thursday Friday Tae Adam Adam Adam Andrew Andrew Andrew Andrew Matt Matt Matt Matt 8 - 10 am Tae 10 - 12 noon 12 - 2 pm Name: John Doe TA: Tae 20 o 2 - 4 pm 4 - 6 pm 6 - 8 pm
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Review: Specifying a vector • Location does not matter • Magnitude and direction r = ( r , θ ) • Components r = ( x , y ) x = r cos θ y = r sin θ r θ r y x
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Specifying a vector • Unit vectors – have length one – have no dimensions r θ r x i y j i j r = x i + y j
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Unit vectors x y z AAA =++ Aijk x y z B BB Bijk () ( ) ( ) xx yy zz AB += + + + + + i j k ( ) ( ) −= + + − i j k
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Uniform motion x = 60 cm t = 15 sec x = 60 cm t = 15 sec
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Interpret: 60/15 = 4 x = 60 cm x = 60 cm t = 15 sec t = 15 sec
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Velocity ± Operational definition: r t v = Three flavors of velocity uniform average instantaneous
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Velocity ± Operational definition: r t v = Three flavors of velocity uniform average instantaneous
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Graphing uniform motion x = 60 cm x = 60 cm t = 15 sec t = 15 sec
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points Time (sec) 5 10 15 20 25 30 60 120 0 0 Position (cm)
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points Time (sec) 5 10 15 20 25 30 60 120 0 0 Position (cm)
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points Time (sec) 5 10 15 20 25 30 60 120 0 0 Position (cm)
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How do we find the velocity? Time (sec) 5 10 15 20 25 30 60 120 0 0 rise x run t slope = rise run = x t velocity = = 4 cm/s Position (cm) 40 100 = 60 cm = 15 s
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What is the corresponding velocity versus time graph?
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This note was uploaded on 04/13/2008 for the course PHYS 211 taught by Professor Shannon during the Spring '08 term at MSU Bozeman.

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03 - Velocity & Acceleration - Chapter 2: velocity and...

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