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Relative Velocity Calculator

Relative Velocity Calculator

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Enter the signed velocities of two objects moving along the same line (positive/negative for direction), and this calculator finds the relative velocity of A with respect to B - e.g. 20 m/s and -15 m/s (opposite directions) gives a relative velocity of 35 m/s.

Relative velocity describes how fast one object appears to move from the perspective of another. Enter both objects' velocities using a consistent sign convention (positive one way, negative the other), and this calculator computes how quickly object A is approaching or moving away from object B.

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  • The formula is v(A relative to B) = vA - vB, so if two cars move toward each other at 20 m/s and -15 m/s, their relative velocity is 20 - (-15) = 35 m/s - they close the distance between them at 35 m/s.
  • Same-direction motion gives a smaller relative velocity, e.g. 20 m/s and 15 m/s in the same direction gives just 5 m/s of relative velocity - the gap between them changes slowly.
  • Use a consistent positive direction for both velocities - this is the key to getting the sign of the result right.

How do I calculate relative velocity?

Subtract the second object's velocity from the first, using a consistent sign convention for direction: v(A rel. to B) = vA - vB.

What is the relative velocity of two cars approaching each other at 20 m/s and 15 m/s?

Using opposite signs for opposite directions: 20 - (-15) = 35 m/s.