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

  1. Velocity (v): How fast it leaves the launcher.
  2. Angle ($\theta$): The direction it is launched.
  3. 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 $\sin(90) = 1$).