Minimum Initial Velocity Calculator

The Minimum Initial Velocity Calculator allows you to calculate the minimum speed required for a projectile to reach a specific height, considering the angle of launch and gravity.

Minimum Initial Velocity Formula

The formula to calculate the minimum initial velocity (Vmin) is:

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

Where:

• Vmin is the minimum initial velocity (m/s).
• G is the acceleration due to gravity (9.81 m/s²).
• H is the height to be reached (m).
• a is the angle of the launch (degrees).

What is a Minimum Initial Velocity?

Definition: A minimum initial velocity is the smallest speed at which a projectile must be launched to achieve a certain height. This calculation is crucial in projectile motion to determine the feasibility of reaching the desired height.

How to Calculate Minimum Initial Velocity?

To calculate the minimum initial velocity:

1. Multiply 2 by the acceleration due to gravity (G) and the height (H).
2. Divide this product by the square of the sine of the launch angle.
3. Take the square root of the result.

By inputting the height and launch angle into the calculator, you can easily determine the required minimum initial velocity to reach that height.