Final answer:
The correct equation to find the velocity of an object being dropped from a height is v = 2√(ah), where a represents the acceleration and h represents the height. This is option 2) and is based on the kinematic equation for objects in free fall with negligible air resistance.
Step-by-step explanation:
The equation to find the velocity, v, of a specific object being dropped from a particular height can be found by the radical function. The correct equation is given by v = 2√(ah), where a represents the acceleration in feet per second square, and h is the height from which the object is dropped. Among the options given, the correct one is option 2).
It is essential to understand that this equation stems from the kinematic equations of motion, which describe the relationships between velocity, acceleration, and displacement. In this case, the equation v = √(2gh) comes from the equation v² = vo² + 2gh, where vo is the initial velocity (which is zero for an object being dropped), g is the acceleration due to gravity, and h is the height. Torricelli's theorem also describes the relationship in fluids, emphasizing the application of conservation of energy to falling objects.