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Negative 10 Miles per Hour?

This guide explores the fundamental differences between speed and velocity, emphasizing their definitions, characteristics, and equations. Speed is a scalar quantity that measures change in distance over time, while velocity is a vector quantity that considers both magnitude and direction. Through illustrative examples, such as Tom's bike ride and Sally's walk, we demonstrate how to calculate average speed and velocity, along with their conversions to meters per second. Learn the importance of direction in velocity and grasp the underlying mathematical principles!

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Negative 10 Miles per Hour?

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  1. Negative 10 Miles per Hour? Speed and Velocity

  2. Speed vs. Velocity • SPEED • Change in DISTANCEoccurring over TIME • MAGNITUDE ONLY • SCALAR • VELOCITY • Change in DISPLACEMENT occurring over TIME • MAGNITUDE and DIRECTION • VECTOR

  3. Velocity & Average Velocity DIRECTION MATTERS!!! Which equation does this remind you of? SLOPE OF A GRAPH!

  4. Example #1 • Tom gets on his bike at 12:00 in the afternoon and begins riding west. At 12:30 he has ridden 8 miles. • Calculate his velocity • Convert to meters per second

  5. Total Distance Traveled Total Time for the Trip Average Speed OR NOT IN YOUR RT!!! Can only be a POSITIVE quantity!

  6. Example #2 • Sally gets up one morning and decides to take a three mile walk. She completes the first mile in 8.3 minutes, the second mile in 8.9 minutes, and the third mile in 9.2 minutes. • Calculate her average speed during her walk • Convert her speed to meters per second

  7. A car travels around a corner by traveling 50 meters east, then 50 meters north. It makes the trip in 50 seconds. Calculate the car’s average SPEED Distance = ? Distance = 100m Total time = 50s

  8. A car travels around a corner by traveling 50 meters east, then 50 meters north. It makes the trip in 50 seconds. Calculate the car’s average VELOCITY Displacement = ? Displacement = 70.7m Time = 50s

  9. SUMMARY • Speed vs. Velocity • Which is a scalar/vector? • Definition? • Units? • Velocity Equation • Average Velocity Equation • Average Speed Equation*

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