SOLUTION: IMMEDIATE HELP PLEASE!!!!! SERIOUSLY!!! PLEASE HELP ME NOW BECAUSE TIME IS RUNNING OUT!!!!! When fighting a fire, the velocity v of water being pumped into the air is modeled by

Algebra ->  Radicals -> SOLUTION: IMMEDIATE HELP PLEASE!!!!! SERIOUSLY!!! PLEASE HELP ME NOW BECAUSE TIME IS RUNNING OUT!!!!! When fighting a fire, the velocity v of water being pumped into the air is modeled by      Log On


   

Question 487008: IMMEDIATE HELP PLEASE!!!!! SERIOUSLY!!! PLEASE HELP ME NOW BECAUSE TIME IS RUNNING OUT!!!!!
When fighting a fire, the velocity v of water being pumped into the air is modeled by the FUNCTION V=squareroot 2hg, where h represents the maximum height of the water and g represents the acceleration due to gravity (32 ft/s^2)
1A -PLEASE SOLVE FOR H
1B- The Babylon Fire Department mus purchase a pump that will propel water 80ft into the air. Will a pump that is advertised to project water with velocity of 70ft per second meet the fire departments need? EXPLAIN.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+V+=+sqrt%282g%2Ah%29+
+g+=+32+ ft/sec
-----------------
(1a)
Square both sides
+V%5E2+=+2g%2Ah+
Divide both sides by +2g+
+h+=+V%5E2+%2F+%282g%29+
+h+=+V%5E2+%2F+64+
(1b)
given:
+h+=+80+
+80+=+V%5E2+%2F+64+
Multiply both sides by 64
+V%5E2+=+5120+
+V+=+sqrt%285120%29+
+V+ is between 71 and 72 ft/sec
That is the velocity of water that is
needed to reach a height of 80 ft
A pump that projects water with velocity
of 70 ft/sec will not reach a height of +80+ ft
---------------------------
The height that the water will reach is:
+h+=+V%5E2%2F64+
+h+=+70%5E2+%2F+64+
+h+=+4900+%2F+64+
+h+=+76.56+ ft
This is +3.44+ ft short