Uniform circular motion
First let's review vectors a bit. Which way does the resultant vector v2 - v1 point?
Consider the diagram below. Which direction does v2 - v1 point? How about v3 - v2? How about v4 - v3?
Derive radial acceleration
For uniform circular motion, the magnitudes of the velocity vectors are equal: v1 = v2 so the triangles are similar.
There is a conceptual correlation between the linear kinematic equations and circular motion kinematics.
Make sure you know and understand the following equations: