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Analyzing Distance-Time and Speed-Time Graphs for Uniform and Non-Uniform Motion

Learn how to plot and analyze distance-time and speed-time graphs for uniform and non-uniform motion. Understand how to choose proper scales, interpret the data points, calculate distances, and construct right-angled triangles for different motion scenarios.

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Analyzing Distance-Time and Speed-Time Graphs for Uniform and Non-Uniform Motion

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  1. Distance-TimeGraph for Uniform Motion Take time along x-axis and distance along y-axis.

  2. Analyse the given data and make a proper choice of scale for time and distance.

  3. Plot the points.

  4. Join the points.

  5. Consider any two points (A, B) on the straight line graph.

  6. Draw perpendiculars from A and B to x and y axes.

  7. Join A to C to get a right angled triangle ACB. Write the title of the graph.

  8. Consider another two points P and Q on the graph and construct a right-angled triangle PRQ.

  9. Distance-Time Graph for Non - Uniform Motion • Take time along x-axis and distance along y-axis.

  10. Analyse the given data and make a proper choice of scale for time and distance.

  11. Plot the points.

  12. Join the points.

  13. Speed - Time Graph-uniform speed • Distance traveled by the car S = v x t  •  But 60 km/h = OC = breadth of the rectangle OABC                • 5h = OA = length of the rectangle OABC  • i.e., the distance covered by the car = length x breadth = 300 km.  • To calculate the distance covered by a moving object from a speed-time graph we just have to find the area enclosed by the speed-time graph and the time axis.

  14. Velocity-Time Graph Take time along x-axis and velocity along y-axis.

  15. Analyse the given data and make a proper choice of scale for x and y axes. 

  16. Join the points

  17. Consider any two points A and B on the straight-line graph.

  18. Draw perpendiculars from A and B to x and y-axes.

  19. Join A to C, ACB forms a right-angled triangle. 

  20. a) Increasing acceleration  Uniform Acceleration                         Non-uniform Acceleration

  21. Non-uniform Retardation                  Uniform Retardation

  22. Zero Acceleration

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