Projectile Motion Calculator
|
Compute range, maximum height, and time of flight for any projectile. Adjust the sliders to explore how launch angle and speed shape the trajectory. No air resistance. Uniform gravitational field.
m/s
deg
m
Governing Equationsx(t) = v₀ · cos(θ) · ty(t) = h₀ + v₀ · sin(θ) · t − ½ · g · t² vₓ = v₀ · cos(θ) vᵧ₀ = v₀ · sin(θ) T = [ vᵧ₀ + √(vᵧ₀² + 2g · h₀) ] / g H = h₀ + vᵧ₀² / (2g) R = vₓ · T g = 9.80665 m/s² (32.174 ft/s²)
Explore Projectile Motion in the Lab:
Hands-on physics experiments make these equations come alive.
Visit xUmp.com Physics Kits and
Physics Lab Supplies
curated by a physicist for students, educators, and science enthusiasts.
How to Use This CalculatorEnter the initial speed of the projectile, its launch angle above the horizontal, and an optional initial height (e.g. a cliff or a table). Results update instantly. Click Animate Trajectory to watch the projectile travel its parabolic path in real time. The calculator assumes a flat surface, no air resistance, and a uniform gravitational field of g = 9.80665 m/s². For launch angles producing maximum range from ground level, the optimal angle is always 45°. When launched from an elevated position, the optimal angle is less than 45° - the calculator shows the exact value. Related Reference Pages |
