Scientists use the formula to calculate the speed (s) 9.8d of the tsunami (in meters per second) based on the depth (d) of the ocean (in meters). The 9.8 refers to the acceleration of the tsunami due to gravity, in meters per second squared. What is the depth of the ocean (to the nearest meter) if the tsunami is moving at a speed of 320 meters per second?

Question

Mathematics

Giselle Knight

27 May, 20:22

Scientists use the formula to calculate the speed (s) 9.8d of the tsunami (in meters per second) based on the depth (d) of the ocean (in meters). The 9.8 refers to the acceleration of the tsunami due to gravity, in meters per second squared. What is the depth of the ocean (to the nearest meter) if the tsunami is moving at a speed of 320 meters per second?

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Kendrick · Answer 1

Speed of tsunami = sqrt (9.8d) m/s where d is the depth of the ocean.

Given speed of tsunami to be 320 m/s, depth of the ocean is calculated as follows:

320=sqrt (9.8d) = > 320^2 = 9.8d = > d = (320^2) / 9.8 = 10448.98 m

To nearest meter, d=10449 m