Answer:
(a)Distance traveled by each explorer travel as Mars rotates by 1 radian
- Opportunity=2108.71 miles
(b)Number of hours it takes Mars to rotate 1 radian=3.9152 hours
(c)Speed of each explorer around Mars.
- Opportunity=538.59 miles per hour
- Phoenix =75.59 miles per hour
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

