Question

What can you say about the nature of motion of a body if its displacement-time graph is — (a) a straight line parallel to time axis? (b) a straight line inclined to the time axis with an acute angle? (c) a straight line inclined to the time axis with an obtuse angle? (d) a curve

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Answer

The following can be said about the nature of motion of a body, if its displacement-time graph is as follows —

  1. A straight line parallel to time axis — shows that the body is stationary (or no motion).
  2. A straight line inclined to the time axis with an acute angle — shows the linear relationship between the displacement and time (i.e., the body travels equal distance in equal intervals of time in a certain direction). Hence, we can say the motion is away from the starting point with uniform velocity.
  3. A straight line inclined to the time axis with an obtuse angle — shows that there is motion towards the starting point with a uniform velocity.
  4. A curve — shows that the body moves with varying speed in a fixed direction. Hence, we can say that there is motion with variable velocity.

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