Projectile Motion Calculator

Projectile Motion Equations

• Horizontal velocity: vâ‚“ = vâ‚€ cos θ (constant)
• Vertical velocity: vᵧ = vâ‚€ sin θ − gt
• Range: R = v₀² sin(2θ) / g
• Max height: H = (vâ‚€ sin θ)² / (2g)
• Time of flight: T = 2vâ‚€ sin θ / g

Maximum range occurs at θ = 45°. On the Moon (g = 1.62 m/s²), a ball travels ~6× further than on Earth for the same launch conditions.

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