The velocity v and maximum height h of the water being pumped into the air are related by the equation where g is the acceleration due to gravity (32 feet/second) a. Determine the equation that will give the maximum height of the water as a function of its velocity b. The Mayfield Fire Department must purchase a pump that is powerful enough to propel water 80 feet in the air. Will a pump that is advertised to project water with a velocity of 75 feet/second meet the fire department's needs? Explain.