Height to Velocity Calculator

Calculate Velocity (V)



Formula

The formula to calculate the Velocity (V) from Height (H) is:

\[ V = \sqrt{\frac{2H}{a}} \times a \]

Where:

Example

Let's say the height (\( H \)) is 20 meters and the acceleration due to gravity (\( a \)) is 9.8 m/s². Using the formula:

\[ V = \sqrt{\frac{2 \times 20}{9.8}} \times 9.8 \approx 19.8 \text{ m/s} \]

So, the Velocity (\( V \)) is approximately 19.8 m/s.

What is Velocity?

Velocity is the speed of something in a given direction. In this context, it refers to the speed at which an object falls from a certain height under the influence of gravity.

Extended information about "Height-to-Velocity-Calculator"

Calculate Height with Initial Velocity

Definition: Determines the height of a projectile based on its initial velocity and time in the air.

Formula: \( h = v_0 t + \frac{1}{2} a t^2 \)

Example: \( h = 10 \times 2 + \frac{1}{2} \times 9.8 \times 2^2 \)

Formula for Velocity with Height

Definition: Calculates the velocity of a projectile based on its height.

Formula: \( v = \sqrt{2gh} \)

Example: \( v = \sqrt{2 \times 9.8 \times 20} \)

How to Find Maximum Height with Velocity

Definition: Determines the maximum height reached by a projectile based on its initial velocity.

Formula: \( H = \frac{v_0^2 \sin^2(\theta)}{2g} \)

Example: \( H = \frac{30^2 \sin^2(45)}{2 \times 9.8} \)

Calculate Velocity with Mass and Height

Definition: Determines the velocity of an object based on its mass and height.

Formula: \( v = \sqrt{2gh} \)

Example: \( v = \sqrt{2 \times 9.8 \times 15} \)

Drop Height Velocity Calculator

Definition: Calculates the velocity of an object dropped from a certain height.

Formula: \( v = \sqrt{2gh} \)

Example: \( v = \sqrt{2 \times 9.8 \times 10} \)