Question

The position of a planet and a point P on it are shown in the given planet takes 17 hours to complete one rotation about its axis, and it takes 84 years to complete one revolution. What will be the position of the planet and point P after exactly one day?

A. The position will be the same as at the starting point.
B. The position will have completed 1/84th of its revolution.
C. The position will have rotated 1/17th of its rotation.
D. The position will be 1/84th of its revolution and 1/17th of its rotation.

Answer 1

The position of the planet and point P after exactly one day will be 1/84th of its revolution and approximately 41.18% of an additional rotation, having already completed one full rotation.

Step-by-step explanation:

After exactly one day, the position of the planet and point P will have changed both in terms of rotation and revolution. Since the planet completes one rotation in 17 hours, in 24 hours, it would have completed 1 rotation plus 7 additional hours of rotation, which is approximately 41.18% (7/17) of another rotation. As for the revolution, the planet takes 84 years to make one full revolution around the Sun, so in one day, it would have completed 1/84th of its revolution. Therefore, the correct answer is D: The position will be 1/84th of its revolution and 1/17th of its rotation.