bee moving in spiral motion

1. The problem statement, all variables and given/known data

A bee goes out from its hive in a spiral path given in plane polar coordinates by r = bekt q = ct where b, k, and c are positive constants. Show that the angle between the velocity vector and the acceleration vector remains constant as the bee moves outward.
Solution
r(t) = bekt q(t) = ct

3. The attempt at a solution

r'(t) = bke^(kt)
r’ ‘ (t) = bk^(2)e^(kt)

I’m lost as to what should I be doing with the information to make the jump to the proof.

http://ift.tt/1gOAu69

Leave a comment

Your email address will not be published.


*


Show Buttons
Hide Buttons