Gravity to Velocity Calculator

Formula

To calculate the Velocity (V):

\[ V = \sqrt{2 \cdot g \cdot H} \]

Where:

\(V\) is the Velocity (m/s)
\(g\) is the Acceleration Due to Gravity (m/s²)
\(H\) is the Height (m)

What is Gravity to Velocity?

Gravity to velocity calculation estimates the velocity of an object falling from a height under the influence of gravity, assuming no air resistance. This calculation helps in understanding the impact speed of objects in free fall and is often used in physics to study motion.

Example Calculation 1

Let's assume the following values:

Acceleration Due to Gravity (g) = 9.81 m/s² (standard gravity)
Height (H) = 50 m

Step 1: Use the formula:

\[ V = \sqrt{2 \cdot 9.81 \cdot 50} \]

Step 2: Calculate:

\[ V = \sqrt{981} \approx 31.32 \text{ m/s} \]

The velocity is approximately 31.32 m/s.

Example Calculation 2

Let's assume the following values:

Acceleration Due to Gravity (g) = 9.81 m/s²
Height (H) = 20 m

Step 1: Use the formula:

\[ V = \sqrt{2 \cdot 9.81 \cdot 20} \]

Step 2: Calculate:

\[ V = \sqrt{392.4} \approx 19.8 \text{ m/s} \]

The velocity is approximately 19.8 m/s.