# 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

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