The slotted arm AB drives pin C through the spiral groove described by the equation r = (1...

The slotted arm AB drives pin C through the spiral groove described by the equation r = (1.5 θ) ft, where θ is in radians. If the arm starts from rest when θ = 60° and is driven at an angular velocity of  = (4t) rad/s, where t is in seconds, determine the radial and transverse components of velocity and acceleration of the pin C when t = 1 s.