"Opportunity" and "Phoenix" are two of the robotic explorers on Mars. Opportunity landed at 2° south latitude, where Mars’ radius is about 2110 miles. Phoenix landed at 68° north latitude, where Mars’ radius is about 790 miles. Mars rotates on its axis once every 24.6 Earth-hours. How far does each explorer travel as Mars rotates by 1 radian? How many hours does it take Mars to rotate 1 radian? Using this answer, how fast is each explorer traveling around Mars’ axis in miles per hour?

(a)Distance traveled by each explorer travel as Mars rotates by 1 radian

(b)Number of hours it takes Mars to rotate 1 radian=3.9152 hours

(c)Speed of each explorer around Mars.

Step-by-step explanation:

Part A

For any given parallel of latitude

Opportunity landed at 2° south latitude, where Mars’ radius is about 2110 miles.

Phoenix landed at 68° north latitude, where Mars’ radius is about 790 miles.

Part B

Next, we determine the distance (Length of arc) covered by each explorer as Mars rotates by 1 radian.

Opportunity's Distance

Phoenix's Distance

Part C

Mars rotates on its axis once every 24.6 Earth-hours.

Therefore:

Part D:Speed of each explorer

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