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Graphs of motion Contents: Position graphs Whiteboard Qualitative Instantaneous Velocity graphs Whiteboard Qualitative. Position vs. Time graphs. 4 m. Position in meters. 5 s. Time in seconds. (still at 2, 2 in 5, 4 in 2, -4 in 4). Slope = rise/run Slope = Velocity. TOC.
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Graphs of motionContents: • Position graphs • Whiteboard • Qualitative • Instantaneous • Velocity graphs • Whiteboard • Qualitative
Position vs. Time graphs 4 m Position in meters 5 s Time in seconds (still at 2, 2 in 5, 4 in 2, -4 in 4) Slope = rise/run Slope = Velocity TOC
Whiteboards: Position vs. time 1 | 2 | 3 | 4 TOC
5 m Position in meters 5 s Time in seconds What is the velocity at 2.0 seconds? W .67 m/s
5 m Position in meters 5 s Time in seconds What is the velocity at 4.0 seconds? W 0
5 m Position in meters 5 s Time in seconds What is the velocity at 6.2 seconds? W 2.0 m/s
5 m Position in meters 5 s Time in seconds What is the velocity at 8.15 seconds? W -3.0 m/s
Whiteboards: Qualitative Position vs. time TOC
5 m Position in meters 5 s Time in seconds What’s going on here?
5 m Position in meters 5 s Time in seconds What’s going on here?
5 m Position in meters 5 s Time in seconds What’s going on here?
5 m Position in meters 5 s Time in seconds What’s going on here?
5 m Position in meters 5 s Time in seconds What’s going on here?
5 m Position in meters 5 s Time in seconds What’s going on here?
5 m Position in meters 5 s Time in seconds What’s going on here?
5 m Position in meters 5 s Time in seconds What’s going on here?
5 m Position in meters 5 s Time in seconds What’s going on here?
Finding instantaneous velocity 5 m Position in meters 5 s Time in seconds v at 6.0 s =? Find the tangent slope 5.1/5.95 .86 ms
5 m Position in meters 5 s Time in seconds What is the velocity at 3.0 seconds? 3/7.6 = .39 m/s
5 m Position in meters 5 s Time in seconds What’s the velocity at 6.0 seconds? -2.85/4.5 = -.62 m/s
5 m Position in meters 5 s Time in seconds What’s the velocity at 6.0 seconds? 5.65/6.9 = .82 m/s
Velocity vs. Time graphs (show driving on a road) Area under is Displacement Slope = rise/run Slope = acceleration 4 m/s 3 m/s for 5 seconds How far? LxW = ? Velocity (m/s) 5 s Time in seconds TOC
Velocity vs. Time graphs (show driving on a road) Area under is Displacement Slope = rise/run Slope = acceleration 4 m/s Now how far? Velocity (m/s) 5 s Time in seconds TOC
Whiteboards: Velocity vs. time 1 | 2 | 3 | 4 TOC
5 m/s velocity in m/s 5 s Time in seconds What is the acceleration at 1.15887 seconds? 1.5 m/s/s
5 m/s velocity in m/s 5 s Time in seconds What is the acceleration at 8.1 seconds? -.5 m/s/s
5 m/s velocity in m/s 5 s Time in seconds What displacement between 2 and 4 seconds? 6.0 m
5 m/s velocity in m/s 5 s Time in seconds What displacement between 4 and 7 seconds? 13.5 m
Whiteboards: Qualitative Velocity vs. time TOC
What’s going on here? + V 0 m/s - V Time
What’s going on here? + V 0 m/s - V Time
What’s going on here? + V 0 m/s - V Time
What’s going on here? + V 0 m/s - V Time
What’s going on here? + V 0 m/s - V Time
What’s going on here? + V 0 m/s Time
What’s going on here? + V 0 m/s Time What would this position graph look like?
Position Time
What’s going on here? + V 0 m/s - V Time