Velocity
Also known as: speed with direction, v
The rate of change of position with respect to time, including both magnitude and direction. Gives a complete description of how an object's position changes over time.
💡 Intuition
How fast something is moving AND which way it's heading—direction is essential.
Core Idea
Velocity is a vector quantity—it has both magnitude (speed) and a direction.
Formal View
🔬 Example
🎯 Why It Matters
Gives a complete description of how an object's position changes over time.
⚠️ Common Confusion
Speed is just the magnitude of velocity; velocity also includes direction.
💭 Hint When Stuck
When solving a velocity problem, first identify the displacement (change in position) and the time interval. Then divide displacement by time: v = \Delta x / \Delta t. Finally, include the direction in your answer — velocity is a vector, so '5 m/s north' is a complete answer while '5 m/s' alone is just speed.
Related Concepts
Prerequisites
Next Steps
How Velocity Connects to Other Ideas
To understand velocity, you should first be comfortable with displacement. Once you have a solid grasp of velocity, you can move on to acceleration and speed.
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Compare With Similar Concepts
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Frequently Asked Questions
What is Velocity in Physics?
The rate of change of position with respect to time, including both magnitude and direction.
Why is Velocity important?
Gives a complete description of how an object's position changes over time.
What do students usually get wrong about Velocity?
Speed is just the magnitude of velocity; velocity also includes direction.
What should I learn before Velocity?
Before studying Velocity, you should understand: displacement.
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