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Published byDylan May Modified over 5 years ago

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Motion in One Dimension Average Versus Instantaneous

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Position-Time Graph Where is the animal at time t = 0? What time corresponds to a position of zero?

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Slope of a Position-Time Graph What is the slope of a position-time graph? Is this graph constant velocity or not? What would the velocity-time graph look like for the graph on the last slide?

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Distance Versus Displacement Which one is a vector quantity? What is the displacement? What is the distance traveled?

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Average Velocity Average Speed is total distance divided by total time or the average slope of the line or curve Instantaneous Speed

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Graphing Position-time graph—slope is the speed Velocity-time graph—slope is the acceleration

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Slopes Velocity Acceleration

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Problem A car is located at 30 m at point A, 50 m at point B, 40 m at point C, 0 m at point D, -40 m at point E and –50 m at point F. Equal time intervals separate each point. Sketch the position versus time graph. Find the displacement, average velocity and average speed of the car between A and F.

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Problem 2 A particle moves along the x-axis. Its position varies with time according to the expression x = -4t + 2t 2 where x is in meters and t is in seconds. A)Determine the displacement of the particle in the time intervals t = 0 to t = 1 sec and t = 1 sec to t = 3 sec. B) Calculate the average velocity during these two time intervals. C) Find the instantaneous velocity at time t = 2.5 sec.

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Problem 3 The position of an object is given by the equation x(t) = 2 + 4t – t 2, where position is measured in meters and time in seconds. What is the particle’s average acceleration from t = 0 to t = 2?

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Homework Chapter 2 Questions 1,5,7 Problems 2,5,7,11,16,19

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Unique Situation Equations All of these equations assume constant acceleration:

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Derive These

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Derive Some More

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Gravity Acceleration is a constant, g. All these equations apply.

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Homework Problems 23, 29, 32, 35, 38, 39, 41, 44, 47, 55, 57, 62

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