(Lecture: 10 minutes)
This lecture was originally part of the Turntable Hockey activity. The goal is to derive, and then solve, the differential equations which describe linear motion as seen in a rotating frame.
The derivation is straightforward: Simply set the true accelaration equal to zero in the modified second law, and write down the components in terms of rotating coordinates. The result is a system of coupled second-order ODEs.
The solution of these equations is not difficult, and is of possible interest to students in its own right. But there is no point in rushing through it. A possibly better choice is to quickly derive the equations, then ask for student feedback — possibly as a SWBQ — on ways to solve it. The actual solution can then be skipped — but do emphasize that it is precisely the solutions to these equations which are studied in the Turntable Hockey activity.