Enter the acceleration due to gravity and the height into the calculator to determine the velocity.

Gravity To Velocity Formula

The following equation is used to calculate the velocity from gravity.

V = g*SQRT(2*H/g)
  • Where V is the velocity (m/s)
  • g is the acceleration due to gravity (m/s^2)
  • H is the height (m)

To convert gravity to velocity, multiply the acceleration due to gravity by the square root of 2 times the height divide by g.

This formula assumes no air resistance. For a calculator that takes air resistance into account, visit the maximum velocity calculator linked above.

How to Calculate Velocity From Gravity?

Example Problem:

The following example outlines the steps and information needed to calculate velocity from gravity.

First, determine the acceleration due to gravity. In this example, the acceleration due to gravity is 9.81 m/s^2.

Next, determine the height. For this problem, the height is found to be 300m.

Finally, calculate the velocity from gravity using the formula above:

V = g*SQRT(2*H/g)

V = 9.81*SQRT(2*300/9.81)

V = 76.72 m/s


What is acceleration due to gravity?

Acceleration due to gravity is the rate at which objects accelerate towards the center of the Earth when in free fall, unaffected by any other forces. On the surface of the Earth, this acceleration is approximately 9.81 meters per second squared (m/s^2).

How does air resistance affect the velocity of a falling object?

Air resistance, also known as drag, opposes the motion of an object through the air and reduces its acceleration. As an object’s speed increases, the force of air resistance grows until it equals the force of gravity, causing the object to reach a constant terminal velocity where it no longer accelerates.

Can the gravity to velocity formula be used for any height?

The gravity to velocity formula, V = g*SQRT(2*H/g), assumes no air resistance and is theoretically applicable for any height. However, in practical applications, factors such as air resistance and the object’s shape and density can affect the actual velocity, making the formula more accurate for calculations involving short distances or in a vacuum.