The correct answer is A. 0.02 m.
Mechanical advantage (MA) is the ratio of the output force to the input force. In an ideal machine, the MA is equal to the ratio of the output distance to the input distance.
In this case, the MA is 100, and the output distance is 2 m. Therefore, the input distance is 0.02 m.
Option B is incorrect because the output distance is 2 m, not 2.5 m.
Option C is incorrect because the output distance is 2 m, not 2.5 m.
Option D is incorrect because the output distance is 2 m, not 20 m.