Thornton & Marion, Classical Dynamics of Particles and Systems, 5th Edition

Chapter 1. Matrices, Vectors, and Vector Calculus

Problem 10. Differentiation of a vector

The problem asks you to

• calculate vector derivatives to get the velocity and acceleration of a particle.

The problem gives

• the position vector of a particle in a plain elliptical orbit.

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

We should know about

• the calculation of vector derivatives.

Solution