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Question

How to find the instantaneous velocity from a postion- time graph? Explain with an example

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Solution

  • The slope of position time graph gives the instantaneous velocity.
  • Ex: Say the slope of the graph at the given tine is 10. Then, the instantaneous velocity is equal to 10 m/s.
  • The expression for slope is equal to ratio of change in y-coordinates and change in x-coordinates.
  • If the position time graph is a straight line, then slope can be easily obtained by using the above formula.
  • If the shape of the graph is a curve, then draw a tangent to the curve at the given time to find the instantaneous velocity.

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