Can someone please help I am so lost.
The velocity v and maximum height h of the water being pumped into the air are related by the equation v=sqrt of 2gh 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.

Question

Can someone please help I am so lost. 
The velocity v and maximum height h of the water being pumped into the air are related by the equation v=sqrt of 2gh 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.

amistre64 · Answer

a)  solve for h ...

b) use v=75,  and see if h=80 ...