Projectile Motion Calculator
Calculate the range, maximum height, and time of flight of a projectile from its launch speed and angle, using g = 9.80665 m/s². SI units throughout.
Range
91.7745 m
Max height
22.9436 m
Time of flight
4.32629 s
Ideal projectile (no air resistance), launched and landing at the same height: R = v₀²·sin(2θ)/g, H = v₀²·sin²θ/(2g), T = 2·v₀·sinθ/g. Max range at 45°.
Frequently Asked Questions
How do you calculate the range of a projectile?
For a projectile launched from ground level at speed v₀ and angle θ, the range is R = v₀²·sin(2θ) / g, where g = 9.80665 m/s². Maximum range occurs at a 45° launch angle.
How do you find the maximum height?
Maximum height is H = v₀²·sin²(θ) / (2g). It depends on the vertical component of the launch velocity, v₀·sin θ.
How do you find the time of flight?
For launch and landing at the same height, time of flight is T = 2·v₀·sin(θ) / g. The projectile reaches its peak at half that time.
What launch angle gives the greatest distance?
On level ground with no air resistance, 45° gives the maximum range. Complementary angles (for example 30° and 60°) produce the same range.
Does this account for air resistance?
No. These are ideal-projectile equations that assume no air resistance and a uniform gravitational field, launching from and landing at the same height.