A particle moves along an Archimedean spiral r = (80) ft, where is in radians. If

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A particle moves along an Archimedean spiral r = (80) ft, where is in radians. If θ̇ = 4 rad/s (constant), determine the radial and transverse components of the particle's velocity and acceleration at the instant = π/2 rad. Sketch the curve and show the components on the curve.

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