A gun barrel of length h OP = 12 ft is mounted on a turret as shown. To keep the gun aimed at a moving target the azimuth angle β is being increased at the rate dβ /dt = 30?/s and the elevation angle γ is being increased at the rate dγ /dt = 10?/s. For the position β = 90? and γ = 30?, determine

(a) The angular velocity of the barrel,

(b) The angular acceleration of the barrel,

(c) The velocity and acceleration of point P.