Question

The speed that a tsunami can travel is modeled by the equation s = 356 StartRoot d EndRoot , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

Answer 1

Answer:

The speed that a tsunami can travel is modeled by the equation is s = 356√d.

It is given:

s = 200 km/h

d = ?

Now, let's substitute s in the equation and find d:

s = 356√d

200 = 356√d

√d = 200 ÷ 356

√d = 0.562

Now, let's square both sides of the equation:

(√d)² = (0.562)²

d = (0.562)² = 0.316 ≈ 0.32

Therefore, the approximate depth (d) of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.

Answer 2

Given: The speed that a tsunami can travel is modeled by the equation s = 356 StartRoot d EndRoot , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers.

To find: The approximate depth of water for a tsunami traveling at 200 kilometers per hour.

Solution:

According to the question, the speed of a tsunami is given by the following formula.

$S = 356 \sqrt{d}$

When the speed of the tsunami is 200 kilometres per hour, The 'S' in the equation is replaced by 200 and hence, the equation of speed can be represented as follows.

$200 = 356 \sqrt{d}$

On rearranging the equation, the depth of the water can be calculated as,

$\sqrt{d} = \frac{200}{356}$

$d = (\frac{200}{356})^{2}$

  $= 0.32 km$

Therefore, the approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.