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A ball is projected vertically up from the floor of
a room. The ball experiences air resistance that
is proportional to speed of the ball. Just before
hitting the ceiling the speed of the ball is 10 m/s
and its retardation is 2g. The ball rebounds from
the ceiling without any loss of speed and falls on
the floor 2s after making impact with the ceiling.
How high is the ceiling? Take g = 10 m/s².

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