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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 ?...
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 Winter '06
 Nelson
 Physics

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