Velocity How to Calculate

Velocity Calculator

Calculate average velocity based on displacement and time

meters
seconds
Average Velocity:
0 m/s

How to Calculate Velocity

Velocity is a vector quantity that measures the rate at which an object changes its position. Unlike speed, velocity requires both a magnitude (how fast) and a specific direction.

The Velocity Formula

v = Δx / Δt

Where:

  • v: Average Velocity
  • Δx (Displacement): The change in position (Final position – Initial position)
  • Δt (Time): The time interval taken for the change

Real-World Example

Imagine a professional sprinter runs 100 meters due East in exactly 10 seconds. To find their velocity:

  1. Displacement: 100 meters East
  2. Time: 10 seconds
  3. Calculation: 100 / 10 = 10 m/s
  4. Final Velocity: 10 m/s East

Velocity vs. Speed: What's the Difference?

Many people use these terms interchangeably, but in physics, they are distinct:

  • Speed: A scalar quantity that only measures "how fast." Example: 60 mph.
  • Velocity: A vector quantity that measures "how fast" and "in which direction." Example: 60 mph North.

If you run in a complete circle and end up where you started, your speed might be high, but your average velocity is zero because your total displacement is zero.

function calculateVelocityResult() { var displacement = document.getElementById('displacementValue').value; var time = document.getElementById('timeValue').value; var resultWrapper = document.getElementById('velocityResultWrapper'); var output = document.getElementById('velocityOutput'); var secondary = document.getElementById('velocitySecondary'); var d = parseFloat(displacement); var t = parseFloat(time); if (isNaN(d) || isNaN(t)) { alert("Please enter valid numbers for both displacement and time."); return; } if (t === 0) { alert("Time cannot be zero."); return; } var velocity = d / t; var velocityKmh = velocity * 3.6; var velocityMph = velocity * 2.23694; resultWrapper.style.display = 'block'; output.innerHTML = velocity.toFixed(2) + " m/s"; secondary.innerHTML = "Equivalent to: " + velocityKmh.toFixed(2) + " km/h or " + velocityMph.toFixed(2) + " mph"; // Smooth scroll to result resultWrapper.scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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