Creative Commons License Copyright © Michael Richmond. This work is licensed under a Creative Commons License.

Review of differential equations

Before we move on to something new, let's look back at some of the ideas we've been discussing recently.

Oh, dear. It seems that some situations might involve angular (or linear) accelerations which change. Our 1-D kinematic equations require constant acceleration to work properly. Does this mean that there's no way to predict the behavior of these situations?












            NO!!



It turns out that there ARE mathematical techniques which will describe motion under a changing acceleration ... as long as the acceleration changes in one particular manner. We will be able to use these techniques to understand the motion of many objects, such as


Image courtesy of UNT Physics

and


Image and video courtesy of ViolinB0W

However, before we can study these new mathematical techniques, we'll need to brush up on a bit of calculus.

Let's try USING those solutions in a real situation.

Creative Commons License Copyright © Michael Richmond. This work is licensed under a Creative Commons License.