Question

PLEASE HELP!! Is the answer 50 seconds???

Answer 1

Answer:

Guillermo reach his lowest altitude 50 sec after diving and the lowest altitude is -125 m

Step-by-step explanation:

Let

x -----> the time in seconds

y ----> altitude in meters

we have

$g(x)=\frac{1}{20}x(x-100)$

$g(x)=\frac{1}{20}x^{2}-5x$

This is a vertical parabola open upward

The vertex is a minimum

To find out the lowest altitude, find the vertex

Complete the square

Factor the leading coefficient

$g(x)=\frac{1}{20}(x^{2}-100x)$

$g(x)+125=\frac{1}{20}(x^{2}-100x+2,500)$

Rewrite as perfect square

$g(x)+125=\frac{1}{20}(x-50)^{2}$

$g(x)=\frac{1}{20}(x-50)^{2}-125$

The vertex is the point (50,-125)

therefore

Guillermo reach his lowest altitude 50 sec after diving and the lowest altitude is -125 m (below the sea level)