# Projectile Motion Calculator

## Understanding Projectile Motion

Projectile motion refers to the motion of an object projected into the air at an angle. It is subject only to the acceleration of gravity. This calculator helps you compute key parameters like range, maximum height, and time of flight.

### Key Equations

- Range: \( R = \frac{v_0^2 \sin(2\theta)}{g} \)
- Maximum Height: \( H = \frac{v_0^2 \sin^2(\theta)}{2g} \)
- Time of Flight: \( T = \frac{2 v_0 \sin(\theta)}{g} \)

### Variables Explained

**\( v_0 \)**: Initial velocity**\( \theta \)**: Angle of projection**\( g \)**: Acceleration due to gravity**\( R \)**: Range**\( H \)**: Maximum height**\( T \)**: Time of flight

### Example Calculation

Suppose you project an object with an initial velocity of 20 m/s at an angle of 45 degrees. Using the equations above, you can calculate the range, maximum height, and time of flight.