Height to Velocity Calculator

Formula

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

$V = \sqrt{\frac{2H}{a}} \times a$

Where:

$V$ is the velocity (m/s).
$H$ is the height (m).
$a$ is the acceleration due to gravity (m/s²).

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: $h = v_0 t + \frac{1}{2} a t^2$

h: Height
v_0: Initial velocity
a: Acceleration due to gravity (9.8 m/s²)
t: Time

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: $v = \sqrt{2gh}$

v: Velocity
g: Acceleration due to gravity (9.8 m/s²)
h: Height

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

H: Maximum height
v_0: Initial velocity
$\theta$ : Angle of launch
g: Acceleration due to gravity (9.8 m/s²)

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: $v = \sqrt{2gh}$

v: Velocity
g: Acceleration due to gravity (9.8 m/s²)
h: Height

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: $v = \sqrt{2gh}$

v: Velocity
g: Acceleration due to gravity (9.8 m/s²)
h: Height

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