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Projectile Motion Calculator

From launch speed and angle, compute range, max height, flight time and impact speed — with gravity presets for the planets.

Angular Velocity CalculatorConvert RPM, rad/s, Hz and period, or derive ω from a linear speed and radius — with tangential speed and centripetal acceleration.Coulomb's Law CalculatorSolve F = kq₁q₂/εᵣr² for the force, either charge or the distance, in any of 18 dielectric media, with charges in C, µC, nC or elementary charges, plus the potential energy and the field at q₂.de Broglie Wavelength CalculatorCompute λ = h/p for an electron, proton, neutron, alpha particle, C₆₀ or any mass, from a velocity or a kinetic energy, using the relativistic momentum p = γmv.Decibel (dB) CalculatorConvert power and voltage ratios to decibels and back, and switch between dBm, dBW, watts and milliwatts.Doppler Effect CalculatorWork out the perceived frequency for a moving source or observer, classically f' = f(v ± v_o)/(v ∓ v_s) with real sound speeds, or relativistically for light — supersonic sources flagged.E = mc² Calculator (Mass–Energy)Convert mass into energy and back with a realistic efficiency — 100 % for antimatter, 0.7 % for fusion, 0.09 % for fission — and read the result in joules, kWh, kcal and tonnes of TNT.Hydraulic Cylinder Force CalculatorPush and pull force of a hydraulic cylinder from F = P × A, with the rod annulus handled properly, the area ratio φ and an ISO bore table.Inclined Plane CalculatorDoes the block stay or slide? Normal force, down-slope force, static and kinetic friction, the arctan μs tipping point, acceleration, slide time and final speed.

Open Projectile Motion Calculator and you get an answer straight away, with no account to create. You will find it under Physics, with Angular Velocity Calculator and Coulomb's Law Calculator for the neighbouring cases.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What does Projectile Motion Calculator do?

From launch speed and angle, compute range, max height, flight time and impact speed — with gravity presets for the planets.

When would I actually use this?

Checking a homework answer, sizing something before building it, and getting an order of magnitude before committing to a design — a torque on a bolt, the force a spring returns, the frequency a circuit resonates at, how long light takes to arrive.

What is the most common mistake?

Feeding in a value in the wrong unit. Physics formulas assume SI throughout, so grams instead of kilograms or centimetres instead of metres shifts the answer by powers of ten without any warning.

How is Projectile Motion Calculator different from Angular Velocity Calculator?

They sit next to each other but answer different questions. Angular Velocity Calculator: convert RPM, rad/s, Hz and period, or derive ω from a linear speed and radius — with tangential speed and centripetal acceleration. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

Coulomb's Law Calculator is the closest one after this: Solve F = kq₁q₂/εᵣr² for the force, either charge or the distance, in any of 18 dielectric media, with charges in C, µC, nC or elementary charges, plus the potential energy and the field at q₂.

What else is worth having open alongside it?

de Broglie Wavelength Calculator and Decibel (dB) Calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from?

Constants are the CODATA values and the formulas are the textbook ones. Most assume an idealised case — no air resistance, no friction, a point mass — and the tool says so where the simplification matters.

Further reading

All guides →
ExplainerProjectile Motion Explained: Range, Height, Flight Time — and Why 45° Is Not Always BestThree formulas cover the whole of projectile motion on level ground. The catch is level ground: the moment launch and landing heights differ, the 45° result stops being true.ExplainerDouble the Drop and the Speed Rises 41 %, but the Energy DoublesA 20-metre fall takes 2.02 seconds and lands at 19.81 m/s. From 40 metres it takes 2.86 seconds and lands at 28.01 m/s — the speed is up by a factor of √2, and the energy by exactly two.ExplainerA Stiletto Heel Presses Forty-Eight Times Harder Than an ElephantA 60 kg person on one square centimetre of heel exerts 5.89 MPa. A five-tonne elephant on four feet of 0.1 m² each exerts 123 kPa. Same physics, opposite areas.ExplainerSound Travels Faster in Steel Because of Stiffness, Not Density343 m/s in air at 20 °C, 1,481 in water, 5,960 in steel and 12,000 in diamond. Steel is 6,500 times denser than air and carries sound only 17 times faster — density slows sound down.ExplainerFriction Does Not Care How Big the Contact Patch IsA coefficient of 0.3 against a normal force of 100 N gives 30 N of friction, and the area never enters the formula. What does enter it, and is usually got wrong, is the normal force.ExplainerHow the Doppler Effect Works: The Formula, the Sign Convention, and Why Moving the Source Is Not the Same as Moving the ListenerFor sound, f' = f(v + v_o)/(v − v_s) — and getting the signs backwards is the classic error. Here is the convention spelled out, a 440 Hz source computed at four speeds, and why light needs a different equation entirely.