Projectile Launcher
Physics of Motion
Going Ballistic
When you launch an object, gravity immediately starts pulling it down. The path it follows is called a Parabola.
The Key Variables
- Velocity (v): How fast it leaves the launcher.
- Angle ($\theta$): The direction it is launched.
- Gravity (g): The force pulling it down ($9.8 m/s^2$).
The Range Equation
If we ignore air resistance, the distance ($d$) a projectile travels is:
$$ d = \frac{v^2 \sin(2\theta)}{g} $$
Notice the $\sin(2\theta)$ part? This means the maximum distance is achieved at **45 degrees** (because $\sin(90) = 1$).