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When a body with its initial velocity non-zero, moves with constant retardation, the velocity-time graph is

  • A.an oblique straight line with positive slope
  • B.a straight line parallel to time axis
  • C.a straight line parallel to velocity axis
  • D.an oblique straight line with negative slope
  • E.a curve with bend upwards

Answer: D

The graph is an oblique straight line with negative slope.

The slope of a velocity-time graph is the acceleration. Constant retardation means a constant negative acceleration, so \(v = u - at\) is a straight line starting at \(u\) (nonzero) and falling steadily.

A positive slope would be uniform acceleration. A line parallel to the time axis is constant velocity (zero acceleration). A line parallel to the velocity axis would mean an instant change of speed, which is not physical. A curve would mean the acceleration itself is changing.

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