- #1

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r = b*ekt , 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.)

attempts.

v=r[dot]r[hat]+(r)θ[dot]θ[hat]

a=(r[double dot]-rθ[dot]^2)r[hat]+(rθ[double dot]+2r[dot]θ[dot])θ[hat]

r[prime]=bke^kt

r[double prime]= bk^(2)e^kt

θ[prime]=c

I know that v · a/va = vacosθ/va = cosθ, but I am unsure what to do with this knowledge or where to go from here,

thanks guys