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Concepts Of Physics MCQ Edition [Volume 1]PhysicsNewton's Laws of Motion

The displacement of a particle travelling along the X-axis is shown as a function of time in the figure. The force acting on the particle is zero in the region

Options

  1. ADE
  2. BCD
  3. CBC
  4. DAB

Correct answer

D. AB

Step-by-step solution

The force acting on a particle is zero when its acceleration is zero ( F = ma ). Acceleration is the second derivative of displacement with respect to time ( a = d^2x dt^2 ). On a displacement-time ( x-t ) graph, acceleration is zero when the slope of the graph (velocity) is constant, which corresponds to a straight line. From the given graph, the segments AB and CD are straight lines. This indicates that the velocity is constant in these regions. Therefore, the acceleration is zero, and the force acting on the par

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