SOLUTION: A fountain shoots water from a nozzle at its base. The height h, in feet, of the water above the ground t seconds after it leaves the nozzle is given by h(t) = −16t2 + 18t + 7.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A fountain shoots water from a nozzle at its base. The height h, in feet, of the water above the ground t seconds after it leaves the nozzle is given by h(t) = −16t2 + 18t + 7.      Log On


   

Question 1173491: A fountain shoots water from a nozzle at its base. The height h, in feet, of the water above the ground t seconds after it leaves the nozzle is given by
h(t) = −16t2 + 18t + 7.
What is the maximum height of the water? Round to the nearest tenth.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Highly recommend the following, if You do not have a graphing calculator

FREE graph software  https://www.padowan.dk/download/ 

h(t) = −16t^2 + 18t + 7.          |format at^2 + bt + c

Opening  downward as a < 0

Apply:  b/-2a

%2818%29%2F%28-2%29%28-16%29+=+18%2F32+=+9%2F16    x = 9/16 sec is the x value of the maximum

Using Your graphing calculator, evaluate h(9/16)

h(9/16) = 12.1 ft

Wish You the Best in your Studies.