# Vector Quantity/Examples

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## Examples of Vector Quantities

### Displacement

The **(physical) displacement** of a body is a measure of its position relative to a given point of reference in a particular frame of reference.

### Velocity

The **velocity** $\mathbf v$ of a body $M$ is defined as the first derivative of the displacement $\mathbf s$ of $M$ from a given point of reference with respect to time $t$:

- $\mathbf v = \dfrac {\d \mathbf s} {\d t}$

### Acceleration

The **acceleration** $\mathbf a$ of a body $M$ is defined as the first derivative of the velocity $\mathbf v$ of $M$ relative to a given point of reference with respect to time $t$:

- $\mathbf a = \dfrac {\d \mathbf v} {\d t}$

### Linear Momentum

The **linear momentum** of a body is its mass multiplied by its velocity.

- $\mathbf p = m \mathbf v$

### Angular Momentum

The **angular momentum** of a body about a point $P$ is its moment of inertia $I$ about $P$ multiplied by its angular velocity $\omega$ about $P$:

- $L = I \omega$