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Per-pass speed loss in aerobraking

High school · ●●○○○ 20 pts

A spacecraft approaches a planet at 18000 m/s and must slow to 8000 m/s over exactly 50 orbital passes. On each pass it keeps the same fraction of its speed. What percentage of its speed must it lose on each pass? Round to two decimal places.

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geometric sequenceslogarithmspercent changeexponent laws