1.)(adsbygoogle = window.adsbygoogle || []).push({});

A bee goes from its hive in a spiral path given in plane polar coordinates by

r = b*e^{kt}, θ = ct,

where b, k, c are positive constants. Show that the angle between the velocity vector and the

acceleration vector remains constant as the bee moves outward. (Hint: Find v · a/va.)

so here is my v and a

2.)

v = (r')e_{r}+(r*θ')e_{θ}

a = (r''+rθ')e_{r}+(rθ''+2r'θ')e_{θ}

r' = bk*e^{kt}

r'' = bk^{2}e^{kt}

θ' = c

3.) my attempt at a solution

bke^{kt}(bk^{2}e^{kt}-be^{kt}c^{2})+(be^{kt}c)(2bke^{kt}c)

is that the right dot product

this is where i'm stuck

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# Homework Help: Bee and a spiral

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