Velocity

Definition

Velocity is the rate of change of position with respect to time. It is a vector quantity, meaning it has both magnitude and direction.

5 Must Know Facts For Your Next Test

1. Velocity can be determined by finding the derivative of the position function with respect to time.
2. The integral of a velocity function over a given interval gives the net change in position (displacement).
3. If the velocity function is integrated, it yields the position function plus a constant of integration.
4. Average velocity over an interval is calculated as the total displacement divided by the total time taken.
5. Instantaneous velocity at any point in time is given by evaluating the derivative of the position function at that specific time.

Review Questions

• How do you find instantaneous velocity from a position-time graph?
• What does integrating a velocity function provide in terms of motion?
• Explain how average velocity differs from instantaneous velocity.

Related terms

Displacement: The net change in position of an object; it is a vector quantity.

Acceleration: The rate of change of velocity with respect to time; also a vector quantity.

Position Function: A mathematical function that describes an object's location as a function of time.