One application of radicals is the formula S(d)=√9.8d where S(d) is the speed in meters per second and d is the depth of water in meters. This formula is used to estimate the speed of a tsunami. A tsunami is a series of large waves generated by an abrupt movement on the ocean floor. Powerful undersea earthquakes are responsible for most tsunamis. Tsunamis occur most often in the United States in the state of Alaska. However, the small town of Crescent City, California has been dubbed “the tsunami capital of the continental United States”.

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. Show your work in in the space provided here:



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.) Show your work in in the space provided here:



3. Using the answer from question two, how long would it take for a tsunami that started in Alaska to reach Crescent City, California which is 2,700 kilometers away. (Round answer to the nearest tenth of an hour) Show your work in the space provided here:



4. How might knowing the answer to question three be beneficial to the residents of Crescent City, California?