Physics Behind Projectile Motion

Initial Velocity (v): Speed at which the object is launched.

Angle (θ): Launch angle from the horizontal.

Gravity (g): Acceleration due to gravity.

Horizontal Velocity (vx): \( v_x = v \cdot \cos(θ) \)

Vertical Velocity (vy): \( v_y = v \cdot \sin(θ) - g \cdot t \)

Position over time:

• Horizontal: \( x = v_x \cdot t \)
• Vertical: \( y = v_y \cdot t - \frac{1}{2} g t^2 \)

The path is a parabola due to the constant acceleration of gravity acting downward.