This preview shows page 1. Sign up to view the full content.
Unformatted text preview: i. d | r ( t ) | dt ii. v ( t ) r ( t ), where r is the unit vector constructed from r ( t ). This manner of calculating r is geometric (see the gure on page 33), and uses the rst term of problem 1.11 of K&K. (b) The other component of the velocity, from the gure on page 33, is r . This component, according to problem 1.11, should also be ( r ( t ) v ( t )) r ( t ). Evaluate ( r ( t ) v ( t )) r ( t ), and show from its magnitude that: | | = ab a 2 cos 2 ( t ) + b 2 sin 2 ( t ) | | . What happens when a = b ?...
View Full Document
- Winter '06