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Velocity and Acceleration
I’m the king of the world!!!! Woo-hoo!!!
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Velocity Speed only describes how fast something is moving Velocity describes both speed AND direction!
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Velocity Concep question:
Picture two sports cars racing down the highway. The Ferrari is traveling west while the Lamborghini is traveling east. They both have a speed of 100km/h. What can you conclude about their velocities? Ferrari’s v is greater b. Lamborghini’s v is greater c. Their velocities are the same d. Their velocities are different
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Velocity The answer is d. Both cars have the same speed, however the direction in which they are traveling is different. Their velocities are different because their directions are different.
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Change in velocity Speed may not always be constant. The velocity of an object may change, even if the speed remains the same.
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Acceleration Acceleration is the rate of change of velocity
Velocity includes both speed and direction, therefore acceleration is both the rate of change in velocity and direction of that change.
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Acceleration If acceleration is in the same direction as the object, the objects speeds up. If acceleration is the opposite direction as the object, the object slows down.
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Acceleration Acceleration also depends on the time interval.
To calculate the acceleration of an object, divide the change in velocity by the time. a=vf-vi or Δv t t
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Acceleration Units The unit for velocity is meters / second m/s
The unit for time is seconds (s) Therefore, the unit for acceleration is meters/seconds = m/s2 seconds “Meters per second squared”
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Acceleration Sample Problem
A race car sits at the starting line at Atco raceway. The light turns green and the driver presses the pedal to the metal. The velocity changes from 0 m/s to 60m/s in 6 seconds. What is the acceleration of the car?
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Solution: List the known information: initial velocity (vi): 0 m/s
Final velocity (vf): 60 m/s Time: 6 seconds A= 60m/s – 0 m/s = 10 m/s2 6 s
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Homework: Questions 1-3 on page 67. Complete mini-lab…
Does greater velocity require greater acceleration?
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