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Question

Suggest about the kind of motion of a body from the following velocity-time graphs:


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Solution

(a)

  1. The slope of a velocity-time graph determines the acceleration.
  2. This graph where the line is horizontal states that the body is moving at constant velocity.
  3. The uniform accelerated motion shows the slope of the body is 0 or constant acceleration.

(b)

  1. Velocity -time graph for retardation.
  2. The slope of the graph determines the acceleration (retardation).
  3. It represents uniformly decreasing accelerated motion.

(c )

  1. This graph shows that the velocity of a body increases uniformly and then decreases uniformly.
  2. The first half of the graph shows uniformly accelerated motion.
  3. The second half of the graph shows uniformly retarded.

(d)

  1. This graph shows that the velocity of a body decreases to zero uniformly and then increases uniformly to some positive value.
  2. The first half of the graph shows decreasing acceleration.
  3. The second half of the graph shows increasing acceleration uniformly.

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