Education & Student
Projectile Motion Calculator
Projectile Motion — it uses the projectile-motion equations — range = v²·sin(2θ)/g and maximum height = v²·sin²θ/(2g) — from the launch speed and angle. This page runs that same calculation on your numbers, in your browser: no signup, no uploads, nothing stored.
Use Projectile Motion Calculator to work out projectile motion: give it your initial velocity and launch angle, press Calculate, and read off the range, height and flight time — all worked out on your device.
About this calculator
It uses the projectile-motion equations — range = v²·sin(2θ)/g and maximum height = v²·sin²θ/(2g) — from the launch speed and angle. It matters when grades, percentages or averages decide a next step and hand arithmetic is error-prone. Here is the calculation on real numbers: Launched at 20 m/s and 45°, range = v²sin(2θ)/g = 400 × 1 ÷ 9.8 = 40.8 m . For your own figures, use the calculator above — same method, your inputs, computed on-device.
How to use
- Enter the initial launch speed.
- Enter the launch angle in degrees.
- Press Calculate to find the trajectory.
- Read the range, maximum height, and flight time.
Why use Projectile Motion Calculator
Fast
Calculations run in your browser. No round trip to a server.
Private
Your inputs never leave your device. Nothing is uploaded.
Free
No signup, no paywall, no ads-in-results, no watermarks.
Accurate
Uses standard formulas for quick educational estimates; check critical results before relying on them.
Mobile-ready
Optimised for phones, tablets, and desktops alike.
Transparent
Honest disclaimers wherever browser limits or regional rules apply.
Common uses
Use it for science-fair preparation
Projectile Motion in applied-science problems
Use it for physics and engineering coursework
Use it for quick what-if calculations
Use it for cross-checking a measurement
Use it when checking a homework answer
Technical notes
Projectile Motion Calculator uses the projectile-motion equations — range = v²·sin(2θ)/g and maximum height = v²·sin²θ/(2g) — from the launch speed and angle.
Results assume ideal conditions and consistent units, so convert your inputs to the units shown before calculating.
Results are rounded for display; the underlying calculation keeps full precision.
FAQ
What assumptions are used?
It assumes no air resistance, level ground (launch and landing at the same height), and gravity of 9.81 m/s².
What launch angle gives the greatest range?
On level ground, 45 degrees gives the maximum range for a given speed.
What units does the projectile calculation use?
Speed in metres per second and angle in degrees give range and height in metres and time in seconds.
Does the Projectile Motion Calculator send my data to a server?
No. The Projectile Motion Calculator runs entirely in your browser, so nothing you enter is uploaded, stored, or shared.
Worked example
Launched at 20 m/s and 45°, range = v²sin(2θ)/g = 400 × 1 ÷ 9.8 = 40.8 m.