The radial position of a fluid particle P in a certain centrifugal pump with radial vane...

The radial position of a fluid particle P in a certain centrifugal pump with radial vanes is approximated by r = r_o cosh Kt, where t is time and is the constant angular rate at which the impeller turns. Determine the expression for the magnitude of the total acceleration of the particle just prior to leaving the vane in terms of r_o, R, and K.