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3.3 Uniform Acceleration and Free Fall

Objectives: Utilize vectors to illustrate and solve acceleration problems. Analyze motion of an object in free fall. 3.3 Uniform Acceleration and Free Fall. Derivation of Equations.

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3.3 Uniform Acceleration and Free Fall

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  1. Objectives: Utilize vectors to illustrate and solve acceleration problems. Analyze motion of an object in free fall. 3.3 Uniform Acceleration and Free Fall

  2. Derivation of Equations

  3. Example 1: The average velocity of a rolling freight car is 2.00 m/s. How long does it take for the car to roll 15.0 m?

  4. Example 2 : A dragster starting at rest reaches a final velocity of 318 km/h. Find the average velocity.

  5. Example 3 : A train slowing down to a stop has an average acceleration of -3.00 m/s2. If its initial velocity is 30.0 m/s, how far does it travel in 4.00 s?

  6. Example 4 : An automobile accelerates from 67.0 km/h to 96.0 km/h in 7.80 s. What is its acceleration (in m/s2)?

  7. Acceleration due to gravity • g • Free Fall • Terminal velocity (or speed) • Depends on: • Shape of object • Mass of object • Orientation of object • Smoothness of surface of the object

  8. Example 5 : A rock is thrown straight down from a cliff with an initial velocity of 10.0 ft/s. Its final velocity when it strikes the water below is 310. ft/s. How long is the rock in flight? Ignore air resistance.

  9. Example 6 : A baseball is thrown vertically upward with an initial velocity of 25.0 m/s. • (a) How high does it go? • (b) How long does it take to reach its maximum height? • (c) How long is it in flight?

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