Velocity

Definition

Velocity is a vector quantity that describes the rate of change of an object's position with respect to time, including both speed and direction. It is represented mathematically as $\mathbf{v} = \frac{d\mathbf{x}}{dt}$.

5 Must Know Facts For Your Next Test

1. Velocity has both magnitude (speed) and direction, making it a vector quantity.
2. The SI unit for velocity is meters per second (m/s).
3. In two-dimensional kinematics, velocity can be broken down into components along the x and y axes: $v_x$ and $v_y$.
4. Addition of velocities follows vector addition rules, meaning you must consider both magnitudes and directions.
5. Relative velocity involves finding the velocity of one object as observed from another moving object.

Review Questions

• How does velocity differ from speed?
• What are the components of velocity in two-dimensional motion?
• Explain how to add two velocities using vector addition.

Related terms

Displacement: A vector quantity that represents the change in position of an object.

Acceleration: The rate at which an object's velocity changes with time, also a vector quantity.

$v_x$: The x-component of velocity in two-dimensional motion.