Physics Tool

Projectile Motion Calculator

Calculate launch range, maximum height, and flight duration.

Input Parameters

Calculation Results

Horizontal Range (R)
63.73meters
Maximum Height (H)
15.93meters
Total Flight Time (T)
3.61seconds
Horizontal Velocity (vx)
17.68m/s
Initial Vertical Velocity (vy0)
17.68m/s

Formula & How Projectile Motion Calculator Works

Mathematical Formula
Range = (v₀² sin 2θ) / g

Max horizontal range occurs at a 45° angle in a vacuum without air resistance.

How to Calculate Projectile Motion Calculator (Step-by-Step)
  1. Enter Launch Initial Velocity (m/s): Input your target parameter value.
  2. Enter Launch Angle (degrees): Input your target parameter value.
  3. Apply Formula: Calculate using Range = (v₀² sin 2θ) / g.
  4. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)

What launch angle maximizes distance?

45 degrees yields maximum range under ideal conditions.

Official Regulatory & Government Data Sources

Authoritative Standards & Verified Reference Citations

Independent & Verified

Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

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