Projectile Motion Calculator
Find the range, maximum height and flight time of a launched projectile.
Results update as you type.
About this calculator
For a projectile launched at speed v and angle θ, the horizontal range, peak height and time in the air follow from constant gravity g. With no air resistance, range = v²·sin(2θ)/g on level ground, and maximum height = (v·sinθ)²/(2g). Set an initial launch height under advanced options for a raised start.
Frequently asked questions
What launch angle gives the maximum range?
On level ground with no air resistance, 45° gives the greatest range because sin(2θ) peaks at θ = 45°. A raised launch shifts the optimum slightly lower.
How are these projectile values found?
Vertical motion sets the flight time from v·sinθ and gravity; the range is the horizontal speed v·cosθ multiplied by that time. Max height is (v·sinθ)²/(2g).
Results are estimates for general guidance only, not financial, medical or tax advice.