Projectile Motion Calculator
Calculate time of flight, horizontal range, and maximum height for an ideal point mass under constant Earth gravity. This educational model is not guidance for real launches.
A QUICK WALKTHROUGH
How to use this tool
- Enter initial speed, angle, and starting height.
- Calculate the ideal trajectory summary.
- Interpret the result only within the stated vacuum model.
Equations
vx = v cos θ, vy = v sin θ. Flight time is the positive root of y₀ + vy·t − ½gt² = 0. Range = vx·t. Peak height = y₀ + max(vy, 0)²/(2g). Gravity is fixed at g = 9.80665 m/s².
Strictly simplified scope
This is a classroom vacuum model for an ideal point mass. It does not model air resistance, wind, spin, lift, changing gravity, terrain, object shape, structural limits, people, or safety margins, and must not be used to plan or guide an actual launch.
GOOD TO KNOW
Common questions
Why might a real object travel a different distance?
Real motion is affected by drag, wind, lift, spin, shape, local conditions, and measurement error, none of which are included.
Can this be used to aim or launch something?
No. It is limited to illustrating textbook equations and is not operational guidance.