A certain truck uses \frac{1}{12} + {k}{v}^{2} gallons of fuel per mile when its speed is v miles per hour, where k is a constant. At what speed should the truck travel so that it uses \frac{5}{12} gallon of fuel per mile?
(1) The value of k is \frac{1}{10800}
(2) When the truck travels at 30 miles per hour, it uses \frac{1}{6} gallon of fuel per mile.