Question

The function S(d) = √9.8d estimates the speed, S, in meters/second (m/s),

of a tsunami based on the ocean depth, d, in meters (m).
Determine the speed, in (m/s), of a tsunami at the depth of 2145 m. Round your
answer to the nearest thousandth.

Answer 1

To find the speed of the tsunami at the depth of 2145 meters, you can use the given function:

• S(d) = √(9.8 * d)

Plug in the value of d (2145 meters):

• S(2145) = √(9.8 * 2145)

• S(2145) ≈ √(21001)

• S(2145) ≈ 144.917

Rounded to the nearest thousandth, the speed of the tsunami at a depth of 2145 meters is approximately 144.917 m/s.