Rates of Change

Displacement, Velocity, and Acceleration

Given an equation for the displacement of a moving object, you are can  find an equation for its velocity and an equation for its acceleration, and use the equations to analyze the motion.

Speeding Up or Slowing Down

If velocity and acceleration have the same sign, the object is speeding up.

If velocity and acceleration have different signs, the object is slowing down.

 

Learn more about rates of change by reading the explanation below.

Rates of Change


Practice: Find the velocity and acceleration in the following exercises.

Rates of Change 1

Rates of Change 2