04 - One Dimensional Motion

04 - One Dimensional Motion - Acceleration For next time...

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Acceleration For next time: Read: Sec. 2.6 - 2.7 HW: Chap. 2, Problems 12, 18, 22

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Lab 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
A return to the cart on the track

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x = 2m t = 3s m 0.67 s t == x v Halfway in time or halfway in distance? v i = 0 v f = ? () 1 if 2 v= v +v 2v v = ½ v f Where does the instantaneous velocity equal that average velocity?
( ) 1 if 2 v= v +v Time (s) Velocity (m/s) 1 2 3 45 6 0 0 v 2 = f vv 0 = i v

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x = 2m t = 3s m 0.67 s t == x v v f = ? Halfway in time or halfway in distance? v i = 0 () 1 if 2 v= v +v 2v v = ½ v f Where does the instantaneous velocity equal that average velocity?
x = 2m t = 3s m 0.67 s t == x v Greater distance in first half or second half? v v = ½ v f v i = 0 Where does the instantaneous velocity equal that average velocity?

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Interpret the slope Time (s) 1 2 3 45 6 2 4 0 0 6 8 v t = acceleration slope = rise run = v t = 2 m/s 2 Velocity (m/s)
What is the corresponding acceleration versus time graph? Time (s) 1 2 3 45 6 2 4 0 0 6 8 v t = acceleration slope = rise run = v t = 2 m/s 2 Velocity (m/s)

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What is the corresponding acceleration versus time graph? Time (s) 1 2 3 45 6 2 4 0 0 6 8 Acceleration (m/s 2 )
Operational definition of average acceleration Change in velocity Change in time tt == ∆∆ fi vv v a where is "large" t Note: Acceleration tells us how fast the velocity changes, whereas velocity tells us how fast the position changes.

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Constant acceleration t = 4 s t = 4 s v = 0 m/s v = 20 m/s v = 40 m/s v = 20 m/s v = 20 m/s
What is the acceleration?

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04 - One Dimensional Motion - Acceleration For next time...

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