The formula for calculating the distance of a fallen object is d = 1/2 * g * t^2, where d represents the distance, g is the acceleration due to gravity (9.8 m/s^2), and t is the time in seconds.
Air resistance, also known as drag, slows down the acceleration of a falling object, causing it to reach a maximum velocity called terminal velocity. This will result in a shorter distance traveled compared to an object falling in a vacuum.
According to the formula, the mass of the object does not affect its distance when falling. However, in the real world, objects with a larger mass may experience more air resistance, resulting in a slightly shorter distance traveled.
The height from which an object is dropped does not affect its distance when falling. As long as there is no air resistance, all objects will fall with the same acceleration due to gravity, regardless of the height from which they are dropped.
The distance of a fallen object can be measured accurately using a measuring device such as a ruler or measuring tape. Alternatively, the distance can also be calculated using the formula d = 1/2 * g * t^2, where g is the acceleration due to gravity and t is the time it takes for the object to fall.