Is $\mathrm{velocity}$ considered a $\mathrm{scalar}$ or a $\mathrm{vector}$ quantity?

• A. $\mathrm{Velocity}$ is a $\mathrm{vector}$ quantity because it has both magnitude and direction.
• B. $\mathrm{Velocity}$ is a $\mathrm{scalar}$ quantity because it is always positive.
• C. $\mathrm{Velocity}$ is neither a $\mathrm{scalar}$ nor a $\mathrm{vector}$.
• D. $\mathrm{Velocity}$ is a $\mathrm{scalar}$ quantity because it only has magnitude.

Answer: (A)

Verified step by step guidance

1. Recall the definitions of scalar and vector quantities: Scalars have only magnitude (size), while vectors have both magnitude and direction.
2. Understand that velocity describes how fast an object is moving and in which direction.
3. Since velocity includes direction as part of its description, it cannot be just a scalar quantity.
4. Therefore, velocity is classified as a vector quantity because it has both magnitude (speed) and direction.
5. Note that speed is a scalar quantity because it only has magnitude and no direction.