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Understanding Speed, Velocity, and Acceleration: Key Concepts and Calculations in Motion

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This guide explores the fundamental concepts of speed, velocity, and acceleration, and their measurements in physics. We delve into calculations involving these quantities using specific examples and illustrations, including word problems that reinforce learning. Questions like how to find final velocity given average acceleration and time, or how to calculate the time taken to reach a certain speed while accelerating are covered. Practicing these calculations prepares students for practical applications and theoretical understanding in motion-related scenarios.

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Understanding Speed, Velocity, and Acceleration: Key Concepts and Calculations in Motion

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  1. Warm Up • What are the units of: • Speed? • Velocity? • Acceleration? • Distance? • Time?

  2. Velocity or Speed from Acceleration

  3. Find the Following Find vf when aavg = 2.0 m/s2; t = 2.0 s Find vf when v0 = 5.0 m/s; aavg = 0.50 m/s2; t = 6.0 s

  4. Find the Following Find t when vf = 50.0 m/s; aavg = 2.50 m/s2; v0 = 0

  5. Guaranteeing Partial Credit Organize what the problem gives you Make a drawing if necessary Identify the equation you will use Fill in the equation with the givens Show your work Circle your answer with the proper units

  6. Word Problem While driving his sports car at 20.0 m/s down a four-lane highway, Eddie comes up behind a slow-moving dump truck and decides to pass it on the left-hand lane. If Eddie can accelerate at 5.00 m/s2, how long will it take for him to reach a speed of 30.0 m/s?

  7. Word Problem • Vivian is walking to the hairdresser’s at 1.3 m/s when she glances at her watch and realizes that she is going to be late for her appointment. Vivian gradually quickens her pace at a rate of 0.090 m/s2. • What is Vivian’s speed after 10.0 s? • At this speed, is Vivian walking, jogging, or running very fast?

  8. Warm Up A motorcyclist is traveling at 10 m/s along a flat and straight road. How long will it take to reach 32 m/s if the motorcycle can constantly accelerate at 4 m/s2?

  9. Test Material Vectors (pgs. 28-32), especially section 3.3, Chapter 3 review questions 6, 24-27 (for 27, just the first 2 questions) Linear motion (pgs. 10-16), Chapter 2 review questions 1-14, 26-30, 42-46 Graphs of Motion (pgs. 21-24)

  10. Distance vs Time Graphs • Work in groups for 4 • Go to www.explorelearning.com • Launch the “Distance-Time Graph” Gizmo • Complete and hand in Exploration worksheet by the end of the period • 1 per group, make sure to put ALL of your names

  11. Warm Up Sit in your normal seats for attendance In the Gizmo, what was happening when the graph looked like: A B C

  12. Finish Gizmo

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