Pitcher's mounds are raised to compensate for the vertical drop of the ball as it travels a horizontal distance of 18 m to the catcher.

(a) If a pitch is thrown horizontally with an initial speed of 32 m/s, how far does it drop by the time it reaches the catcher?

(b) If the speed of the pitch is increased, does the drop distance increase, decrease, or stay the same? Explain.

(c) If this baseball game were to be played on the Moon, would the drop distance increase, decrease, or stay the same? Explain.