Minimum Initial Velocity Calculator

Calculate Minimum Initial Velocity



Formula

The formula to calculate the Minimum Initial Velocity (Vmin) is:

\[ Vmin = \sqrt{\frac{2 \cdot G \cdot H}{\sin^2(a)}} \]

Where:

Minimum Initial Velocity Definition

A minimum initial velocity is the magnitude of a velocity needed in order for a projectile to reach a given height.

Example Calculation

Let's assume the following values:

Using the formula to calculate the Minimum Initial Velocity (Vmin):

\[ Vmin = \sqrt{\frac{2 \cdot 9.81 \cdot 10}{\sin^2(45)}} \approx 19.8 \, \text{m/s} \]

The Minimum Initial Velocity (Vmin) is approximately 19.8 m/s.