Slope

Definition

In physics, the slope of a graph represents the rate of change between two variables. For one-dimensional motion, it often indicates velocity when plotting position versus time.

5 Must Know Facts For Your Next Test

1. The slope of a position-time graph indicates the object's velocity.
2. A steeper slope on a position-time graph represents higher velocity.
3. A negative slope on a position-time graph signifies motion in the opposite direction.
4. The units of the slope for a position-time graph are meters per second (m/s).
5. On a velocity-time graph, the slope represents acceleration.

Review Questions

• What does the slope of a position vs. time graph represent?
• How can you determine if an object is moving in the opposite direction using the slope?
• What does a steeper slope signify on a position-time graph?

Related terms

Velocity:

The rate at which an object's position changes with time.

Acceleration: The rate at which an object's velocity changes with time.

Position-Time Graph:

A graphical representation showing how an object's position changes over time.