![]() Now, we can calculate the final velocity (v) using the formula: Using the free fall formula to calculate the distance fallen: d = (1/2)x g x t² What is its final velocity?Īcceleration due to gravity (g) = 9.8 m/s². Therefore, the stone falls approximately 44.1 meters in 3 seconds.Įxample 2: An object is released from rest and falls freely for 2 seconds. Substituting the given values: d = (1/2) x 9.8 x (3)² Using the free fall formula: d = (1/2) x g x t² Understanding the free fall formula allows us to analyze and predict the motion of objects in the absence of other forces, providing valuable insights into various physical phenomena and practical applications.Įxample 1: A stone is dropped from a tall building. It helps determine the vertical motion of objects in scenarios such as objects falling from a height, projectiles launched vertically, or bodies dropped into a well. The free fall formula is often used to calculate the distance fallen or the time of fall for objects dropped or thrown vertically. It neglects factors such as air resistance, the rotation of the Earth, and the variation of gravity with altitude.Ĭonsistent units need to be applied when applying the formula and consider the direction of motion (positive or negative) based on the chosen reference frame. The formula for free fall assumes that the object starts from rest (initial velocity u = 0) and is only influenced by the gravitational force.
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