A particle moves in the x-y plane with a y-component of velocity in feet per second given by v3, = 5.3t with tin seconds. The acceleration of the particle in the x-direction in feet per second squared is given by ax = 8.9twith t in seconds. When t= O, y = 3.2 ft,x = O, and vx = O. The equation of the path of the particle can be written in the form (y- b)3 = cx2. Find the constants b and c and calculate the magnitude of the velocity v of the particle for the instant when its x-coordinate reaches 20.5 ft