To find the vertical distance a baseball falls after being thrown horizontally off a cliff at 10 m/s for 4.7 seconds, the same principles of physics apply as in previous questions. The horizontal motion does not affect the vertical displacement, which is determined solely by the time and acceleration due to gravity. The calculation for vertical distance remains consistent regardless of the horizontal speed. The relevant equation for vertical displacement under constant acceleration is applicable in both scenarios. Understanding the independence of horizontal and vertical motions is crucial in solving such problems.