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The motion of an object is plotted by four displacement-time graphs. Which of the following graphs given below correctly describes the possible motion of the object?

The motion of an object is plotted by four displacement-time graphs. Which of the following graphs given below correctly describes the possible motion of the object? Correct Answer <img alt="F2 J.K 14.9.20 Pallavi D16" src="//storage.googleapis.com/tb-img/production/20/09/F2_J.K_14.9.20_Pallavi_D16.png" style="width: 128px; height: 112px;">

CONCEPT:

  • Displacement: Displacement is a vector quantity, which is the shortest distance between the initial and final points.
    • The unit is in the M.K.S system is ‘meter’.

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  • Distance: The total path length between two points is called distance.
  • Velocity: The rate of change of displacement is called velocity.
    • The slope of displacement -time graph (s-t graph) gives velocity.

EXPLANATION:

  • For option 1: The s - t graph is a cyclic graph which is not possible because there is no motion in which motion comes back in the time.
  • Similarly for option 2, motion comes back in time, which is not possible.
  • In option 3, there is no movement in the body with time.
  • But in option 4, the body is moving forward with some velocity and acceleration. So option 4 is correct.

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