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1.
A bird flies for 4 s with a velocity of |t - 2| m/s in a straight line, where t = time in seconds. It covers a distance of
  • A.
    2m
  • B.
    4m
  • C.
    6m
  • D.
    8m
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Answer : [B]
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2.
A particle has an initial velocity of 9 m/s due east and a constant acceleration of 2 m/s2 due west. The distance covered by the particle in the fifth second of its motion is
  • A.
    0
  • B.
    0.5
  • C.
    2m
  • D.
    none of these
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Answer : [B]
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3.
A particle moves in a straight line with a retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to
  • A.
    x
  • B.
    x2
  • C.
    ln x
  • D.
    ex
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Answer : [B]
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4.
For a particle moving along a straight line, the displacement x depends on time t as x = αt3 + βt2 + γt + δ. The ratio of its initial acceleration to its initial velocity depends
  • A.
    only on α and β
  • B.
    only on β and γ
  • C.
    only on α and γ
  • D.
    only on α
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Answer : [B]
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5.
Water drops fall at regular intervals from a roof. At an instant when a drop is about to leave the roof, the separations between 3 successive drops below the roof are in the ratio
  • A.
    1 : 2 : 3
  • B.
    1 : 4 : 9
  • C.
    1 : 3 : 5
  • D.
    1 : 5 : 13
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Answer : [C]
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