Question

When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in inches, of a spray of water is given by the equation ℎ()=160−162 where is the number of feet away from the sprinkler head the spray is. What is the height of the spray 2 feet away from the sprinkler head?

Answer 1

96feet

Explanation:

Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2

x is the number of feet away from the sprinkler head the spray

To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;

From the equation

ℎ(x)=160−16x^2

h(2) = 160-16(2)²

h(2) = 160-16(4)

h(2) = 160-64

h(2) = 96feet

Hence the height will be 96feet if the spray is 2feet away from the sprinklers head