A particle moves along an Archimedean spiral r = (8θ) ft, where θ is given in radians. If...

A particle moves along an Archimedean spiral r = (8θ) ft, where θ is given in radians. If  (constant), determine the radial and transverse components of the particle’s velocity and acceleration at the instant θ = π/2 rad. Sketch the curve and show the components on the curve.