Trajectory Calculator

Written by Great Medico

Updated September 25, 2026 •2 min read

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A calculator saves arithmetic, but it should not hide the physics. For trajectory, motion calculations become useful when the inputs and assumptions are kept explicit. A clean result can help you compare scenarios quickly, but the number only means what the underlying kinematic or drag model allows.

What this calculator does

This page is named for trajectory coordinates, but the current calculation path headlines total projectile range. The visible selected-time field does not drive the headline result in this version.

How to use it

Start with the fields that drive the current calculation: Launch speed, Launch angle, Initial height. Enter values in the units shown beside each field; the page converts supported units before applying the formula. Keep signs and angles consistent with the labels, then read the headline result together with any supporting metrics rather than copying the number without its unit.

How the calculation works

The current calculation resolves launch speed into vx = v cos θ and vy = v sin θ, solves the ideal projectile flight time from h₀ + vyt − ½gt² = 0, and headlines total range R = vx × tflight. The visible selected-time field is not used to produce the headline result in this version.

Example

Using the default example on the page (Launch speed = 30 m/s; Launch angle = 45 deg; Initial height = 0 m), the calculator returns projectile range of 91.774459 m. Change one input at a time and compare the direction of the change with the formula above; that is a quick way to catch a wrong unit, sign, or selected method before you rely on the number.

How to interpret the result

On the Trajectory Calculator, read the projectile range together with the direction, time, or supporting trajectory values shown on the page. A physically reasonable result should respond consistently when you change speed, angle, height, drag, or mass according to the formula. Always keep the displayed unit attached to the number.

Limitations and notes

The visible selected-time field does not affect the current headline output; the page returns total projectile range from the launch conditions. Air drag, wind, changing gravity, and terrain are also outside the ideal trajectory model.