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A ball is thrown vertically upwards. Assuming the air resistance to be constant and considerable:

  • A.The time of ascent < the time of descent
  • B.The time of ascent > the time of descent
  • C.The time of ascent = the time of descent
  • D.None of these

Answer: A

The time of ascent is less than the time of descent.

Air resistance always opposes motion. Going up it acts downwards, so the retardation is \(g + a\) and the ball slows faster; coming down it acts upwards, so the acceleration is only \(g - a\). The larger effective acceleration on the way up means less time is spent there.

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