The speed of a roller coaster depends on the height it drops from. Which expression represents the speed of a roller coaster if it drops from a height of 200 feet? A. Speed(200) B. \( 200- \) speed C. Dpeed -200 D. 200 (speed)

The speed of a roller coaster can be analyzed through the principles of potential and kinetic energy, where the height contributes significantly to the potential energy \( (PE = mgh) \). As the coaster drops, that potential energy converts into kinetic energy, thus increasing its speed as it descends. So, while we can’t pin down a specific equation from the options provided, it's clear that higher drops lead to greater speeds. In the realm of physics, an equation you might see that relates height and speed could resemble \( v = \sqrt{2gh} \), where \( v \) is the speed, \( g \) is the acceleration due to gravity, and \( h \) is the height in feet. This is a fun—and practical—reminder of how gravity governs the thrills of roller coasters!