Suppose we flatten and smooth out the ice at the south pole, and place a hockey puck at rest on the ice exactly at the pole. We then give it a small velocity, initially along longitude \(0^{\circ}\). Pretend that there is no friction between the puck and the ice, and that there is no air resistance either.

(a) If it reaches a final point \(90^{\circ}\) longitude west when it is \(100.0 \mathrm{~m}\) from the pole, what was its initial speed?

(b) At this final point, what is its speed relative to the ice?

(c) What force or pseudoforce is responsible for the increased speed?