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Understanding Acceleration: Comparing Constant and Changing Motion in Real-World Scenarios

Explore the concepts of acceleration with practical examples that illustrate the differences between constant and changing motion. We begin with a car accelerating from 33 m/s to 42 m/s in 6 seconds, followed by another car moving from 20 m/s to 50 m/s in 15 seconds. We also analyze a runner accelerating uniformly from rest and a scenario where a driver must stop before hitting an obstacle. This guide emphasizes using formulas to determine unknown variables and understanding relationships between acceleration, velocity, and time.

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Understanding Acceleration: Comparing Constant and Changing Motion in Real-World Scenarios

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Presentation Transcript

  1. Mathematical Application Changing Motion

  2. Constant Motion vs Changing Motion

  3. acceleration change in velocity ∆v vf vi ∆t a

  4. Rematch

  5. Example1 ∆v (draw picture) G: A car driving east at 33 m/s accelerates to a velocity of 42 m/s in 6.0 seconds. What is the car’s acceleration? vi vf ∆t a U: E: E: S: S: S: S:

  6. Combining Formulas

  7. Example 2 ∆v G: (draw picture) A second car, also driving east, has a velocity of 20 m/s. It accelerates to a velocity of 50 m/s in 15 seconds. What is the second car’s acceleration? vi vf ∆t a U: E: S: S:

  8. Formulas = Relationships Between Variables

  9. Always Solve For Your Unknown Variable!

  10. Example 3 ∆v G: (draw picture) A runner starts from rest and accelerates at 1.6 m/s2. How fast is he running after 4.8 seconds? vi vf ∆t U: a E: S: S:

  11. What if You Have a Different Variable?

  12. Example 4 (draw picture) A man driving his car at 54 m/s sees a deer in the road 250 meters away. He slams his brakes and accelerates at -6.4m/s2. Does the man stop before he hits the deer? a

  13. A man driving his car at 54 m/s sees a deer in the road 250 meters away. He slams his brakes and accelerates at -6.4m/s2. Does the man stop before he hits the deer? Example 4 G: S: U: E: S:

  14. Summary variables formulas distance initial position final position displacement initial time final time time interval velocity initial velocity final velocity change in velocity acceleration

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