* Velocity is the slope of a displacement vs. time graph. Displacement is the change in position, and velocity tells you how fast that position is changing.
* Acceleration is the slope of a velocity vs. time graph. Acceleration is the rate of change of velocity.
Think of it this way:
* Displacement: Where you are
* Velocity: How fast you are moving
* Acceleration: How fast your speed is changing
Example:
Imagine a car driving down a straight road.
* Displacement graph: The graph would show the car's position at different times. A straight line would mean constant speed, while a curved line would mean changing speed.
* Velocity graph: The graph would show the car's speed at different times. A horizontal line would mean constant speed, while a sloping line would mean acceleration or deceleration.
* Acceleration graph: The graph would show how the car's speed is changing over time. A constant value would mean constant acceleration, while a changing value would mean changing acceleration.
Let me know if you'd like to see some visual examples!