(a).

The equation is .

Where is velocity.

           is accleration due to garvity.

           is maximum height reached.

Accleration due to gravity is .

Substiute in .

Squaring on both sides.

The equation that will give maximum height of water as a function as its velocity is .

(b).

Velocity .

Substiute in the obtained equation .

The pump can propel water to a height of about .

(a).

The equation that will give maximum height of water as a function as its velocity is .

(b).

The pump can propel water to a height of about .

So the pump will meet the fire department needs.