Motion Calculator

Calculate speed, distance, and time using the fundamental motion equation.

Why & What

Motion is one of the most fundamental concepts in physics. Understanding how speed, distance, and time relate to each other helps us predict movement, plan journeys, and solve countless real-world problems.

Speed measures how fast something moves—the distance covered per unit of time. Distance is the total length of the path traveled. Time is the duration of the journey. These three quantities are mathematically linked: if you know any two, you can calculate the third.

Formulas

Speed = Distance ÷ Time
v = d / t
Distance = Speed × Time
d = v × t
Time = Distance ÷ Speed
t = d / v

Note: These formulas assume constant speed (uniform motion). For accelerating objects, more complex equations are needed.

Calculator

Educational Purpose Only: This calculator is provided for learning and educational purposes. For critical applications or professional use, please verify results with appropriate professional tools and expertise.

How to Read Results

Speed: Tells you the rate of motion. A car traveling at 60 km/h covers 60 kilometers in one hour. Higher speed = faster movement.

Distance: The total path length. If you walk at 5 km/h for 2 hours, you cover 10 km.

Time: Duration of travel. A 100 km trip at 50 km/h takes 2 hours.

Always check that your units are consistent! Mixing kilometers with seconds, for example, will give incorrect results.

Examples

Calculate Speed

A runner covers 400 meters in 50 seconds. What is their speed?

Speed = 400 m ÷ 50 s = 8 m/s (or about 28.8 km/h)

Calculate Distance

A car travels at 80 km/h for 2.5 hours. How far does it go?

Distance = 80 km/h × 2.5 h = 200 km

Calculate Time

How long does it take to travel 150 km at 60 km/h?

Time = 150 km ÷ 60 km/h = 2.5 hours

Limitations & Disclaimer

Important Limitations
  • This calculator assumes constant (uniform) speed throughout the journey.
  • Real-world motion often involves acceleration, deceleration, and stops.
  • Speed and velocity are not the same—velocity includes direction.
  • Does not account for factors like traffic, terrain, or weather.
  • For educational purposes only; not for navigation or safety-critical calculations.