The velocity v and maximum height h of water being pumped into the air are related by the equation where g is the acceleration due to gravity (32 feet/second2).
a. Determine an 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 into 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.