๐ŸŽฏ Projectile Motion Calculator

Time of flight2.884 s
Max height10.197 m
Range40.789 m

Enter the initial velocity, launch angle, and initial height to calculate the time of flight, maximum height, and range of projectile motion (ignoring air resistance) using standard kinematics formulas. Standard gravity (9.80665 m/sยฒ) is used.

How to use

  1. Enter the initial velocity (m/s).
  2. Enter the launch angle (degrees, 0โ€“90ยฐ from horizontal).
  3. Optionally enter the initial height (m, height above the ground).
  4. The time of flight, maximum height, and range are calculated automatically.

FAQ

Does this account for air resistance?

No, this tool calculates ideal projectile motion (as in a vacuum), ignoring air resistance. Real-world range will be shorter due to drag.

What value of gravity does this use?

It uses the internationally defined standard gravity, 9.80665 m/sยฒ.

Why does a 45-degree launch angle give the longest range?

With zero initial height, range is proportional to sin(2 ร— angle), which is maximized at 45ยฐ (sin 90ยฐ = 1). With a nonzero initial height, the optimal angle is slightly less than 45ยฐ.