Question

1. Use the formula S(d)=√9.8d to calculate the estimated speed, in meters per second, of a tsunami if the disturbance occurred at an ocean depth of 4,500 meters.

2. Convert the answer from question one from meters per second to kilometers per hour. (Hint: A meter per second is equal to 3.6 kilometers per hour.)

Answer 1

Answer: 1. 210 meters per second .

2. 756 kilometers per hour.

Explanation:

Given : The formula
`S(d)=√(9.8d)` to calculate the estimated speed, in meters per second of a tsunami.

1. If the disturbance occurred at an ocean depth of 4,500 meters.

Then put d= 4500 in the above formula , we get

`S(d)=√(9.8*4500)`

`S(d)=√(44100)=√(21*21*10*10)\\\\=√(210^2)=210`

Hence, if the disturbance occurred at an ocean depth of 4,500 meters , the estimated speed would be 210 meters per second .

Also, A meter per second is equal to 3.6 kilometers per hour.

i.e. 1 meter per second = 3.6 kilometers per hour

Then by unitary method ,

210 meters per second =
`3.6*210` kilometers per hour

=756 kilometers per hour.