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Acceleration Ch. 10.2

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Objectives Describe the concept of acceleration as a change in velocity. Explain why circular motion is continuous acceleration even when the speed does not change. Calculate acceleration as the rate at which velocity changes. Graph acceleration on a velocity-time graph.

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This Graph Shows Constant Velocity

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This Graph Shows No Velocity

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What is the distance a man can run in 1 hour if he runs at 7 mi/hr? 1.7 km 2.7 m 3.7 mi

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What is the Velocity of a Plane that Travels 500 mi in 1 hour 1.500m/s mi/hr km/hr

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Using the Conservation of Momentum if car has the momentum of 50 kg*m/s and a man is in the moving car the man has? 1.50 m/s 2.50 kg 3.50 kg * m/s

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Acceleration Acceleration = change in velocity divided by the time interval in which the change occurred. Acceleration = a = final velocity – initial velocity time v f – v i t

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Units Acceleration = V f – V i t Units = m or m s 2 s * s

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Acceleration Acceleration = rate at which velocity changes over time Quick time movie acceleration Acceleration occurs when there's a change in Speed Direction Or both change

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Uniform circular motion is constant acceleration. QT Centripetal Acceleration Video of bucket and water having centripetal acceleration Video of bucket and water having centripetal acceleration

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Acceleration Acceleration can be determined from a graph QT Graphical Representations of Accelerations

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Acceleration can also be determined from a velocity-time graph A straight line with slope = constant acceleration Slope of the line = acceleration

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Horizontal line = constant speed, no acceleration or deceleration.

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Examine the following graph.

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A negative slope indicates that an object is slowing down or decelerating.

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Calculating Acceleration Acceleration is the rate at which velocity changes. Acceleration Equation (for straight-line motion) QT Distinguishing B/W Velocity and Acceleration QT Average Acceleration SI Units = m/s 2

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The Top Thrill Dragster at Cedar Point goes from 0 m/s to 53.6 m/s (120 mph) in 4 seconds. What is its acceleration? Given: a = V f = V i = t = Algebra: Substitution:

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A car traveling home at a velocity of 15.6 m/s slams on its brakes and comes to a stop to avoid a dog. If it takes 5 seconds to stop, what is the cars acceleration? Given: a = V f = V i = t = Algebra: Substitution:

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In what direction is the car accelerating? How can you tell mathematically?

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A Porsche Boxster has an acceleration of 4.51 m/s 2. If the car starts from rest how much time would it take for the vehicle to reach a speed of 11.3 m/s? Given: a = V f = V i = t = Algebra: Substitution:

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A golf ball thrown from the top of the sears tower accelerates at 9.8 m/s 2 toward the ground and lands on the pavement 9.2 seconds. If the balls final speed is 93.0 m/s what was the speed with which the ball was initial thrown? Given: a = V f = V i = t = Algebra: Substitution:

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