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Acceleration
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Cheetah’s Killer Agility
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Velocity The speed AND direction of an object 50 mph north
20 km/s to the right
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Types of Motion 1-dimensional 2-dimensional Circular Periodic
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Acceleration The rate at which velocity changes Can be:
Speeding up (positive acceleration) Slowing down (negative acceleration / deceleration) Changing direction
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Are these accelerating?
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Are these accelerating?
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Formula for Acceleration
Change in velocity Acceleration = Change in time Final velocity – Initial velocity Acceleration = Change in time
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Units for Acceleration
Unit of distance / unit of time2 Examples: m/s2 mi/hr2
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Example Problem What is the acceleration of a vehicle that changes it’s velocity from 100 km/hour to a dead stop in hr?
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Example Problem A helicopter’s speed increases from 25 m/s to 60 m/s in 5 seconds. What is the acceleration of this helicopter?
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Example Problem After traveling for 6.0 seconds, a runner reaches a speed of 10 m/s. What is the runner’s acceleration?
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Example Problem As she climbs a hill, a cyclist slows down from 25 mi/hr to 6 mi/hr in hrs. What is her deceleration?
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Example Problem A skateboarder traveling at 7.0 meters per second rolls to a stop at the top of a ramp in 3 seconds. What is the skateboarder’s acceleration?
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Example Problem A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration ?
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Example Problem You are traveling in a car that is moving at a velocity of 20 m/s. Suddenly, a car 10 meters in front of you slams on it’s brakes. At that moment, you also slam on your brakes and slow to 5 m/s. Calculate the acceleration if it took 2 seconds to slow your car down.
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Example Problem A ball is dropped from the top of a building. After 2 seconds, it’s velocity is measured to be 19.6 m/s. Calculate the acceleration for the dropped ball.
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