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The tail of a comet is directed away from the sun because:

as the comet rotates around the sun, the lighter mass of the comet is pushed away due to the centrifugal force alone
as the comet rotates, the lighter mass of the comet is attracted by some stars situated in the direction of its tail
the radiation emitted by the sun exerts a radial pressure on the comet throwing its tail away from the sun
the tail of the comet always exists in the same orientation
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