contestada

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?

Respuesta :

Answer: 5 ft

Step-by-step explanation:

Given

The path of the swimmer is given by

[tex]h=-0.1d^2+0.1d+3[/tex]

The swimmer can go horizontally depends upon the depth

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

[tex]h'=-0.2d+0.1[/tex]

Put derivative equal to 0

[tex]\Rightarrow -0.2d+1=0\\\\\Rightarrow d=\dfrac{1}{0.2}\\\\\Rightarrow d=5\ ft[/tex]

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

Otras preguntas