which of acceleration age speed temperature and velocity are vector quantities

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Acceleration and velocity are vector quantities.

To understand why acceleration and velocity are vector quantities, we need to understand the concept of vectors.

A vector is a physical quantity that has both magnitude and direction. Magnitude refers to the size or quantity of the quantity being measured, while direction refers to the orientation or path of the quantity. For example, displacement, which measures the change in position, is a vector quantity because it has both magnitude (how far an object has moved) and direction (towards which direction it has moved).

Similarly, acceleration and velocity also require both magnitude and direction to fully describe them.

Acceleration is the rate of change of velocity with respect to time. Since velocity is a vector quantity, and acceleration measures the change in velocity (magnitude and direction), acceleration is also a vector quantity.

Velocity, on the other hand, is the rate of change of displacement with respect to time. Since displacement is a vector quantity (it has both magnitude and direction), velocity is also a vector quantity.

On the contrary, speed and temperature are scalar quantities. A scalar quantity is a physical quantity that has only magnitude but no direction. Speed is the magnitude of velocity, and it only represents how fast an object is moving, irrespective of its direction. Temperature, too, is a scalar quantity because it only indicates the magnitude of how hot or cold something is.

So, to summarize, acceleration and velocity are vector quantities, while speed and temperature are scalar quantities.