What is the formula for finding the final velocity of a falling body when acceleration due to gravity is known?

The correct option presents a well-established kinematic equation that describes the motion of an object under constant acceleration, specifically in the context of a falling body subjected to the acceleration due to gravity.

In this case, the expression V = u + at clearly defines the final velocity (V) as a function of the initial velocity (u), the acceleration (a), and the time of fall (t). When an object is in free fall, the acceleration due to gravity is a constant value, often approximated as 9.81 m/s² downwards near the Earth's surface. If the object starts from rest, u is zero, making the formula particularly relevant for calculating the velocity just before impact.

This formula reflects the linear relationship between time and velocity, crucial in understanding how velocity changes when a body accelerates uniformly. It provides a straightforward way to determine how fast the body will be moving after a specific duration of falling time under the influence of gravity.

Other options do involve kinematic principles but differ either in format or context. For instance, using V = u2 + 2as (another valid equation) may relate to scenarios where distance (s) is known, but it doesn't directly reference time, making it less useful when that variable isn't