Q.The velocity -time graph of an object moving along x-axis is shown in the figure.Draw the force-time graph.

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jeew-m | College Teacher | (Level 1) Educator Emeritus

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We have to use the Newton's second law of motion here.

F = ma

Since the mass of the object is constant the force time graph will depend on the acceleration.

According to the figure the motion has three stages.

  1. In the first stage the object goes in an constant accelerations because in the velocity time graph we have a constant gradient. (gradient of a V-T graph gives accelerations) So we have a positive force here.
  2. Then the object moves with a constant velocity where no external force will act on it.
  3. At the latter end the object have a constant deceleration where the force will act on the opposite side of the motion.

These points are included in the force time graph in below figure.

The y axis represent force and x represent time.

Yellow line shows the acceleration region

Blue line shows the constant speed region

Red line shows the deceleration region.