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Objectives: 1.Be able to distinguish between distance and displacement 2.Explain the difference between speed and velocity 3.Be able to interpret motion graphs

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Vocabulary Distance Displacement Speed Average speed Instantaneous speed velocity

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Distance and Displacement Distance: How far an object has moved. Measure in Meters (M) Displacement: the distance and direction of an object’s change in position from the starting point.

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Speed Speed: The distance an object travels per unit of time. Speed = Distance (m) Time (s) Average Speed: the total distance traveled divided by the total time travel, even if the speed was changing.

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Instantaneous Speed Instantaneous Speed: the speed at a given point in time.

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Plotting a Distance vs. Time Graph Distance is plotted on the vertical axis (y-axis) Time is plotted on the horizontal axis (X-axis) A horizontal line is a speed of 0 m/s (stopped) The slope of the line is equal to the speed of the object

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Velocity Velocity: includes the speed of an object and the direction of its motion.

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Objectives: 1. Identify how acceleration, time, and velocity are related 2. Explain how positive and negative acceleration affect motion 3. Describe how to calculate the acceleration of an object

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Acceleration Acceleration: is the rate of change of velocity. It’s how fast an object is getting faster Acceleration = Change in Velocity (m/s) time (s)

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Calculating Acceleration 1.First calculate the change in velocity. Final Velocity - Initial Velocity (V f - V i ) 2. Divide the change in Velocity by the Time of the measurements. Final Velocity - Initial Velocity (V f - V i ) Time t

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Practice Problem What is the acceleration the Fastest Car in the World Sport: 0 to 60 mph in 3.7 seconds

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Initial speed = 0 m/h Final speed = 60 m/h Time = 3.7 seconds = 0.00103 hours 60 m/h - 0 m/h = 58,252 m/h 2 0.00103 hours For every hour this car drives it’s speed will increase by 58,252 m/h

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Practice Problem for Positive Acceleration A jet airliner starts from rest at the end of a runway and reaches a speed of 80m/s in 20 seconds. What is its acceleration? Initial speed = 0 m/s Final speed = 80 m/s t= 20 seconds 80 m/s - 0 m/s = 4 m/s 2 20 s For every second the plane went down the runway it’s speed will increase by 4 m/s

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Practice Problem for Negative Acceleration A skateboarder is moving a constant velocity of 3 m/s and comes to a stop in 2 seconds. What is its acceleration? Initial speed= 3 m/h Final speed= 0 m/s t= 2 sec 0 m/s - 3 m/s = - 1.5 m/s 2 2 s For every second the skateboarder slows down he will decrease his speed by 1.5 m/s

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