Halleys comet moves about the sunin an elliptical orbit, Physics

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Halleys comet moves about the sunin an elliptical orbit

Halley's comet moves about the Sunin an elliptical orbit, with its closest approach to the Sun being0.59 A.U. and its greatest distance being 35 A.U. (1 A.U. =Earth-Sun distance). If the comet's speed at closest approach is43 km/s, what is its speed when it isfarthest from the Sun? You may neglect any change in the comet'smass and assume that its angular momentum about the Sun isconserved.

km/s

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