Enter the drop height and the acceleration due to gravity into the calculator to determine the landing velocity of an object in free fall.
Landing Velocity Formula
The following formula is used to calculate the landing velocity of an object in free fall:
V = √(2 * g * h)
Variables:
- V is the landing velocity (meters per second, m/s)
- g is the acceleration due to gravity (meters per second squared, m/s²)
- h is the drop height (meters)
To calculate the landing velocity, take the square root of 2 times the acceleration due to gravity multiplied by the drop height.
What is Landing Velocity?
Landing velocity is the speed at which an object reaches the ground when falling from a certain height under the influence of gravity, without any initial velocity. It is an important concept in physics, particularly in the study of kinematics and energy conservation.
How to Calculate Landing Velocity?
The following steps outline how to calculate the Landing Velocity.
- First, determine the drop height (h) in meters.
- Next, determine the acceleration due to gravity (g) in meters per second squared. On Earth, this is approximately 9.81 m/s².
- Use the formula V = √(2 * g * h) to calculate the landing velocity (V).
- Finally, calculate the Landing Velocity (V) in meters per second.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Drop height (h) = 20 meters
Acceleration due to gravity (g) = 9.81 m/s²