Non-uniform motion refers to the motion of an object in which the acceleration is not constant. In other words, the speed of an object changes at a non-uniform rate. The equations used to describe non-uniform motion are different from those used to describe uniformly accelerated motion.
The two main ways to analyze non-uniform motion are:
By using calculus. The equations of motion for non-uniform acceleration are derived using calculus and are more complex than the equations for uniformly accelerated motion. They involve integrals and derivatives of the acceleration and velocity functions.
By using graphical methods. Non-uniform motion can also be analyzed graphically by plotting the position, velocity, and acceleration of an object as a function of time. This method can be useful for visualizing the motion of an object, but it does not provide a precise mathematical description of the motion.
In both cases, it's important to have a precise and accurate data of the acceleration and position as a function of time. The equations used to describe non-uniform motion can be much more complex than those used to describe uniformly accelerated motion and require a good understanding of calculus.
It's also important to note that non-uniform motion can be a combination of multiple types of motion such as rectilinear motion, curvilinear motion, and rotational motion. So, it's essential to understand the type of motion and use the appropriate equations.