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Understanding Scalars and Vectors in Motion Analysis

This lesson focuses on the key differences between scalars and vectors, with applications to position-time graphs and uniform motion scenarios. Students will engage in activities where they calculate and graph the motion of individuals in various scenarios, such as comparing the distances traveled by two students. The exercises involve drawing position-time graphs and analyzing displacement over time, enhancing understanding of these fundamental concepts in physics and motion analysis.

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Understanding Scalars and Vectors in Motion Analysis

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  1. Warm Up What is the difference between a scalar and a vector? 0:09 0:07 0:06 0:08 0:04 0:05 4:00 3:00 2:00 1:00 0:03 0:01 0:02 5:00 0:10 Times Up

  2. Bulletin Board • Readings • Pages 9-12 • Personal Practice • # 1-3 on page 13 • Questions from previous lesson.

  3. Position-Time Graphs

  4. Position-Time Graph

  5. Position-Time Graph

  6. Position-Time Graph

  7. Uniform motion Object goes through equal displacement in equal time intervals.

  8. Uniform motion

  9. Uniform motion

  10. Uniform motion

  11. What happens when our displacement is not equal?

  12. During Lunch, Aran decides to go to Tim Horton’s, while Dylan would rather walk to Fairview Mall. At the lights on Sheppard the two part ways. Aran starts walking East and Dylan walks west. After 4 minutes, Aran has travelled 250 m East while Dylan has travelled 375 m West.Graph the position of each student on one graph.

  13. 1.) Tony walks steadily from -18 km to 18 km, passing through the origin. • Draw the position-time graph for the walk. • Can you draw a position-time graph for the same walk that looks different from the one you drew in part A? (Hint: different speed) • 2.) A wildlife biologist measures how long it takes four animals to cover a displacement of 200 m [forward]. • Graph the data from the table below. • From your graph, how long does it take the Elk & Grizzly bear to cover 150 m?

  14. Timmy and Keswick are out on the ntcs field. Timmy gives Keswick a head start of 5 seconds. Both students move with a constant uniform motion. Assume that the time taken to reach constant uniform motion is negligible. If Keswick travels 100 m [N] in 20.0 s and Timmy travels 112.5 m [N] in 15.0 s, Graph the motion of both students on the same graph. Find the time & position at which Timmy catches up with Keswick.

  15. Personal Practice • I want to see your notebook for personal practice.

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