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Velocity and Speed Graphically

This guide explains how to graphically represent velocity by plotting position versus time, highlighting the significance of the slope of the position-time graph as velocity. It showcases various examples, including how to describe motion through different types of graphs, such as upward curves, downward curves, and wave patterns. Additionally, it discusses instantaneous velocity, emphasizing the calculation of velocity at specific points and analyzing changing velocities to identify when an object is moving fastest or slowest.

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Velocity and Speed Graphically

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  1. Velocity and Speed Graphically

  2. Graphically • Velocity can be shown graphically by plotting position vs time • Slope of a position-time graph is velocity

  3. Data for Car

  4. Plot

  5. Velocity is Slope 50m – 0m V = = 10m/s 5s – 0s

  6. Practice – Describe the motion shown in the graph

  7. Graph Walking • Walk to produce a graph curving upward • Walk to produce a graph curving downward • Walk to produce an upside-down parabola • Walk to produce a sine wave

  8. Instantaneous Velocity • If the graph is not a straight line, the velocity is constantly changing • You can find the velocity at any specific point • You do this by finding the slope of the line tangent to the curve

  9. Changing Velocity Plot

  10. What is Velocity at 3 Second? 30m – 5m v (at 3s) = = 7.5m/s 4s – 2s

  11. At what point is the object moving the fastest? • At what point is the object moving the slowest?

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