Question

HELP PLEASE!!

a swimmer takes a running jump off a pier. The path of the swimmer can be modeled by the equation h=-0.1d^2+0.1d+3, where H is the height in feet and d is the horizontal distance in feet. How far from the pier does the swimmer enters the water?

Answer 1

Answer: 5 ft

Explanation:

Given

The path of the swimmer is given by

`h=-0.1d^2+0.1d+3`

The swimmer can go horizontally depends upon the depth

So, find the maximum depth by taking derivative w.r.t height

`h'=-0.2d+0.1`

Put derivative equal to 0

`\Rightarrow -0.2d+1=0\\\\\Rightarrow d=(1)/(0.2)\\\\\Rightarrow d=5\ ft`

thus, the swimmer can go up to a distance of 5 ft.