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Which of the following graphs represents an object moving with negative acceleration?

  • A.Displacement-time graph forming a straight line.
  • B.Displacement-time graph curving upwards.
  • C.Velocity-time graph sloping upwards to the right.
  • D.Velocity-time graph sloping downwards to the right.

Answer: D

An object moving with negative acceleration has a velocity-time graph sloping downwards to the right, because acceleration is the slope of the velocity-time graph. A displacement-time graph that is a straight line represents a constant velocity, a displacement-time graph curving upwards shows an increasing velocity, and a velocity-time graph sloping upwards shows a positive acceleration.

Negative acceleration, or retardation, means that velocity falls with time, so the line has a negative slope on a velocity-time graph.

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