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Understanding Motion: Constant Speed and Slope Analysis

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43 diapositives · 587 Views · Jul 18, 2014

This guide explores the principles of motion with constant speed, emphasizing the relationship between distance, time, and speed. It includes practical examples such as calculating the speed of Amy on her bike and Ephraim walking to work, alongside graphical analysis of distance versus time. Key concepts like slope, defined as rise divided by run, are explained, enabling students to interpret graphs effectively. Engage with interactive simulations to further comprehend how speed remains constant and learn how to analyze motion in various real-world scenarios.

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  1. RS U2C1A6 Turn to page137& copy the key question. “Describing the Motion of an Object with Constant Speed”

  2. slope the tilt or slant of a straight line on a graph: the rise divided by the run

  3. slope Run Rise

  4. 9 miles +12 - (3) = 9 miles

  5. 1. If Amy starts from her house and rides her bike to Alex’s house, what would be the distance she traveled? 7 miles +3 -(-4) = 7 miles

  6. Read page 139Calculating the Speed of an Object constant speed simulator

  7. Write the formula below on your Record Sheet (back of last page) speed = distance traveled time elapsed speed = distance time

  8. Now it’s your turn!

  9. 2. What is the speed of the car between 4.0 s and 10.0 s? SHOW YOUR WORK!!

  10. Now complete #’s 3 & 4 (p.140) on your own!

  11. 3. Ephraim walks to his job every day. His workplace is located 2 km (2000 m) from his home. He takes 20 min (or 1/3 hour) to get to work. How fast is he walking?: Give an answer in both meters per minute (m/min) and kilometers per hour (km/h). SHOW YOUR WORK!

  12. 4. In the distant future, Rachel flies a single-person, high-speed spacecraft between Earth and the Moon. Once she gets out of Earth’s atmosphere, Rachel makes the 384,000 km trip in exactly 1000 s. How fast is Rachel moving? SHOW YOUR WORK!

  13. p 139, yellow data table

  14. Students: Copy Graph 2 from the video • Finish viewing race car video #1showing both graphs.

  15. remains the same

  16. Link to simulator movie: two different speeds • (Hint: Race car vs. Plower)

  17. slope the tilt or slant of a straight line on a graph: the rise divided by the run

  18. 8. Compare the slopes of the two plotted lines on the distance versus time graphs below (graph 3 and graph 4)

  19. The line for graph 3 is steeper than the line for graph 4.The slope is _________ for graph 3, and the slope is ______ for graph 4.

  20. 9. Compare the slopes of the two plotted lines on the speed versus time graphs below.

  21. #9. The slope of graph 5 and graph 6 is zero. No change is occurring in the speed over time.Their speed is constant!

  22. slope Run Rise

  23. Rise = 75 m Run = 3s

  24. Run = 10s Rise = 50m

  25. The line for graph 3 is steeper than the line for graph 4.The slope is 25/1 for graph 3, and the slope is 5/1 for graph 4. Graph 3 has a greater slope- 25/1 is greater than 5/1.

  26. p 143

  27. Be careful- look at the scale! Each block= 5 units on the y axis (rise). Pick two points where the x and y intersect. run= 5 s rise= 15 m

  28. How can you determine the speed of an object that has constant motion? 2 ways: speed  distance  time graph a distance vs. time graph and measure the slope of the line (slope = rise  run)