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Relative Velocity Calculator Equation

Relative Velocity Equation:

\[ v_{rel} = v_1 - v_2 \]

m/s
m/s

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1. What is Relative Velocity?

Relative velocity is the velocity of an object or observer B in the rest frame of another object or observer A. In one-dimensional motion, it's calculated as the difference between the velocities of two objects moving along the same straight line.

2. How Does the Calculator Work?

The calculator uses the relative velocity equation:

\[ v_{rel} = v_1 - v_2 \]

Where:

Explanation: The relative velocity represents how fast one object is moving relative to another. A positive result means object 1 is moving faster than object 2 in the positive direction.

3. Importance of Relative Velocity Calculation

Details: Relative velocity is crucial in physics for analyzing motion, collision scenarios, navigation systems, and understanding how objects move relative to each other in various reference frames.

4. Using the Calculator

Tips: Enter both velocities in meters per second (m/s). The calculator will compute the relative velocity, which can be positive or negative depending on the direction of motion.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative relative velocity mean?
A: A negative relative velocity indicates that object 1 is moving slower than object 2, or in the opposite direction relative to object 2's motion.

Q2: How is relative velocity different in two or three dimensions?
A: In multiple dimensions, relative velocity becomes a vector quantity calculated using vector subtraction rather than simple scalar subtraction.

Q3: Can relative velocity be greater than the speed of light?
A: In classical mechanics, yes. But in relativistic scenarios, relative velocities cannot exceed the speed of light according to Einstein's theory of relativity.

Q4: How is relative velocity used in real-world applications?
A: It's used in air traffic control, satellite navigation, collision avoidance systems, and analyzing motion in various reference frames.

Q5: What's the difference between relative velocity and closing speed?
A: Closing speed is the magnitude of relative velocity when two objects are approaching each other, always a positive value representing how fast the distance between them is decreasing.

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