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The speed of a tsunami s (in meters/second) is approximated by s=√gd , where g is the acceleration due to gravity (9.8 m/s2) and d is the depth of the water (in meters). If the speed of a tsunami is 200 m/s, about how deep is the water?

Respuesta :

mathstudent55
Use the formula, fill in the known variables, and solve for d.

s = sqrt(gd)

200 m/s = sqrt(9.8 m/s^2 * d)

Square both sides.

40000 m^2/s^2 = 9.8d m/s^2

9.8d = 40000 m

d = 40000/9.8 m

d = 4082 m 
facundo3141592

By using the speed equation we will see that the depth is 20.41 meters.

About how deep is the water?

We know that the speed is written as:

[tex]S = \sqrt{g*d}[/tex]

Solving for d:

[tex]d = S^2/g[/tex]

Here we know that:

[tex]S = 200 m/s\\\\g = 9.8 m/s^2[/tex]

Replacing that in the depth equation that we found above we get:

[tex]d = (200 m/s)^2/9.8m/s^2 = 20.41 m[/tex]

The depth is 20.41 meters.

If you want to learn more about speed:

https://brainly.com/question/4931057

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