(Solution) - The comet Hale Bopp has a period of 3000 years -(2025 Original AI-Free Solution)

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The comet Hale-Bopp has a period of 3000 years.
(a) What is its mean distance from the Sun?
(b) At its closest approach, the comet is about 1 A.U. from the Sun (1 A.U = distance from Earth to the Sun). What is the farthest distance?
(c) What is the ratio of the speed at the closest point to the speed at the farthest point?