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Q
QuestionPhysics

How is velocity different from speed? A. Velocity is based on distance. B. Velocity includes direction. C. Velocity can be an average or instantaneous.
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Answer

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Step 1:
I'll solve this problem step by step, explaining the key differences between velocity and speed:

Step 2:
: Define Speed

\text{Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
Speed is a scalar quantity that describes how fast an object is moving, calculated by the total distance traveled divided by the total time taken.

Step 3:
: Define Velocity

\text{Velocity} = \frac{\text{Displacement}}{\text{Total Time}}
Velocity is a vector quantity that describes both the rate of motion and the direction of movement.

Step 4:
: Key Differences

The critical distinction is that velocity includes direction, while speed does not. This means: - Speed only tells you how fast something is moving - Velocity tells you how fast and in what direction something is moving

Step 5:
: Example

- Speed: A car traveling at 60 miles per hour - Velocity: A car traveling 60 miles per hour north

Step 6:
: Analyze the Given Options

A. Incorrect - Velocity is based on displacement, not just distance B. Correct - Velocity includes direction C. Partially correct, but not the most precise answer

Final Answer

Velocity includes direction. The key distinguishing feature of velocity is that it specifies both the speed and the direction of motion, making it a vector quantity unlike the scalar quantity of speed.