5.3. Example 5.1 and Fig. 5.3 show the simplest instance of how to use the Coriolis force (or acceleration) to reconcile the views of the observer on a fixed space station and the observer on the rotating earth. It is the simplest because (1) only one of the two players moves (i.e., from both viewpoints the pitcher does not move) and (2) the pitcher does not impart any velocity component at right angles to the throw, due to the motion of the earth. For all other locations of the pitcher and catcher, the problem is more complex. The most important step in solving such problems is to draw the right figure, correctly showing both pitcher and catcher, both from their viewpoint and from that of an observer on a fixed space station. Repeat that example for the following situations: (a) Both pitcher and catcher are 30ft from the North Pole on opposite sides of the Pole, and the pitcher throws the ball directly toward the catcher over the Pole. Are the results the same? Should they be? How does the answer change if the pitcher throws the ball slower? (b) The pitcher is at the equator and throws the ball due north to the catcher, who is 60ft away. (First work the simpler problem of two people riding on railroad trains, traveling on parallel tracks at constant, equal speed. They throw the ball back and forth at right angles to the tracks, and air resistance is negligible. Show the view from above, both from their viewpoint and from that of an observer in a space station. Then draw the corresponding diagram for this case.) (c) The pitcher and catcher are both 1000ft south of the North Pole, with the pitcher 60ft east of the catcher. Then repeat this exercise with the pitcher 60ft west of the catcher