[10.2] - Reading Assignment

After reading section 10.2...

1. What is the difference between the tangent vector to a curve at a point $P$ and the unit tangent vector to a curve at a point $P$?
2. Are there any values of t for which the 2D vector function $\myv r (t) = \myc{t^2 − 2t, \sin \pi t + \pi t}$ has a cusp? If so, find them. If not, why not?
3. Muddy questions? Questions you wonder about?