Acceleration is the measure of how fast a particle is speeding up or slowing down. It is a vector quantity which means it also has a direction (positive or negative). It is the measure of the change in velocity over time. This can also be:
- The first derivative of a velocity function or
- The second derivative of the displacement function
This is part of the Prelim Maths Extension 1 Syllabus from the topic Calculus: Rates of Change. In this post, we will explore Rates of change with respect to time acceleration.
Here we will learn to describe the rate of change with respect to time of the velocity of a particle moving along the -axis as a derivative  \frac{d^2 x}{dt},\frac{dv}{dt}, .
