A boat and trailer are being pulled along a bumpy road at a velocity v. The contour of the road can be approximated by a sine wave with a wavelength l of 10ft and an amplitude y of .5 in. the deflection of the springs in the trailer due to the boats weight is 1.5in. the damping of the system is viscous in nature and has a magnitude of = .05. What is the speed v at which the amplitude of the boat and trailer will be a maximum? and what is the value of the amplitude at this speed?