# Thornton & Marion, Classical Dynamics, Fifth Edition

## Chapter 1. Matrices, Vectors, and Vector Calculus

### Problem 10. Differentiation of a vector

##### The problem asks you to
calculate vector derivatives to get velocity and acceleration of a particle.
##### The problem gives
position vector of a particle in a plain elliptical orbit.

$\bold{r} = 2b \sin \omega t \bold{i} + b \cos \omega t \bold{j}$

calculation of vector derivatives.