⚡ Physics

Projectile Motion Calculator

Calculate projectile range and max height.

Projectile Motion Calculator

Range
40.8 m
Max Height
10.2 m
Overview

What Is a Projectile Motion Calculator?

This tool calculates the range and maximum height of a projectile launched at an angle, using standard kinematics equations assuming Earth's gravity.

Who It's For

For Physics Students Studying Kinematics

Useful for coursework involving projectile motion and trajectory calculations.

Walkthrough

How to Use This Calculator

01

Enter initial velocity

Input the launch speed.

02

Enter launch angle

Input the angle from horizontal.

03

Read range and max height instantly

Both results update automatically.

Tips

Tips & Tricks

FAQ

Frequently Asked Questions

What's the formula for range?

Range = (v² × sin(2θ)) ÷ g, where v is velocity, θ is angle, and g is gravity.

What's the formula for max height?

Max Height = (v² × sin²(θ)) ÷ (2g)

What angle gives maximum range?

45 degrees, assuming level launch and landing height with no air resistance.

Does this account for air resistance?

No, this uses idealized physics formulas that ignore air resistance for simplicity.

What gravity value does this use?

Standard Earth gravity, approximately 9.8 m/s².

Is my data saved?

No, calculations happen entirely in your browser.

Does this assume level ground?

Yes, this assumes launch and landing at the same height - different launch/landing heights would need a more complex calculation.

What's a real-world use of this?

Sports physics (projectiles like balls), ballistics, and engineering trajectory calculations all use these principles.

Can angle be greater than 90 degrees?

Physically, launch angles are typically between 0-90 degrees for standard projectile motion.

Is this tool free?

Yes, completely free with no sign-up required.

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