Projectile Motion Calculator

Projectile Motion Formulas:

Range: R = (v₀² sin(2θ)) / g
Maximum Height: H = (v₀² sin²(θ)) / (2g)
Time of Flight: T = (2v₀ sin(θ)) / g
Horizontal Distance: x = v₀ₓ × t
Vertical Distance: y = v₀ᵧ × t - ½gt²
Where: v₀ₓ = v₀ cos(θ), v₀ᵧ = v₀ sin(θ)

Initial Velocity (v₀) - m/s:

Launch Angle (θ) - degrees:

Initial Height (h₀) - meters:

Target Distance (optional) - meters:

Gravity (g) - m/s²:

Time at Point (t) - seconds:

Earth Gravity: 9.81 m/s²
Moon Gravity: 1.62 m/s²
Mars Gravity: 3.71 m/s²
Optimal Range Angle: 45°

Projectile Motion Concepts:

Range: Horizontal distance traveled by the projectile.

Maximum Height: Highest point reached during flight.

Time of Flight: Total time from launch to landing (same level).

45° Launch Angle: Provides maximum range on flat ground.

Trajectory: Parabolic path due to constant horizontal velocity and accelerating vertical motion.