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When earthquakes occur under the sea, they can cause large tidal waves called tsunamis. Scientists can estimate the arrival times of tsunamis to nearby countries. The average speed at which a tsunami travels is given by the formula: Vaxd where s is the speed of the tsunami (in metres per second), d is the depth of the ocean (in metres) at the location where the earthquake occurred, and g 9-8 metres per second?. (a) (1) Find s, the speed of a tsunami when the an earthquake occurs at a depth of 2000 m. Give your answer in metres per second. (ii) Atsunami has been identified as beginning 400 km from land. The depth of the ocean at that point is 2000 m. Find how long it will take this tsunami to reach land. Give your answer correct to the nearest minute. (b) (1) Rearrange the formula to gived in terms of g and s. (H) Hence, or otherwise, find the depth of the ocean at the place where an earthquake occurred, if the resulting tsunami has a speed of 55 metres per second. Give your answer correct to the nearest metre

When earthquakes occur under the sea, they can cause large tidal waves called tsunamis. Scientists can estimate the arrival times of tsunamis to nearby countries. The average speed at which a tsunami travels is given by the formula: Vaxd where s is the speed of the tsunami (in metres per second), d is the depth of the ocean (in metres) at the location where the earthquake occurred, and g 9-8 metres per second?. (a) (1) Find s, the speed of a tsunami when the an earthquake occurs at a depth of 2000 m. Give your answer in metres per second. (ii) Atsunami has been identified as beginning 400 km from land. The depth of the ocean at that point is 2000 m. Find how long it will take this tsunami to reach land. Give your answer correct to the nearest minute. (b) (1) Rearrange the formula to gived in terms of g and s. (H) Hence, or otherwise, find the depth of the ocean at the place where an earthquake occurred, if the resulting tsunami has a speed of 55 metres per second. Give your answer correct to the nearest metre

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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Limited to Level 7: When earthquakes occur under the sea, they can cause large tidal waves called tsunamis. Scientists can estimate the arrival times of tsunamis to nearby countries. The average speed at which a tsunami travels is given by the formula: where s is the speed of the tsunami (in metres per second), d is the depth of the ocean (in metres) at the location where the earthquake occurred, and g = 9-8 metres per second?. (a) (1) Find s, the speed of a tsunami when the an earthquake occurs at a depth of 2000 m. Give your answer in metres per second. (ii) Atsunami has been identified as beginning 400 km from land. The depth of the ocean at that point is 2000 m. Find how long it will take this tsunami to reach land. Give your answer correct to the nearest minute. (b) () Rearrange the formula to give d in terms ofg and s. (H) Hence, or otherwise, find the depth of the ocean at the place where an earthquake occurred, if the resulting tsunami has a speed of 55 metres per second. Give your answer correct to the nearest metre
Transcribed Image Text:Limited to Level 7: When earthquakes occur under the sea, they can cause large tidal waves called tsunamis. Scientists can estimate the arrival times of tsunamis to nearby countries. The average speed at which a tsunami travels is given by the formula: where s is the speed of the tsunami (in metres per second), d is the depth of the ocean (in metres) at the location where the earthquake occurred, and g = 9-8 metres per second?. (a) (1) Find s, the speed of a tsunami when the an earthquake occurs at a depth of 2000 m. Give your answer in metres per second. (ii) Atsunami has been identified as beginning 400 km from land. The depth of the ocean at that point is 2000 m. Find how long it will take this tsunami to reach land. Give your answer correct to the nearest minute. (b) () Rearrange the formula to give d in terms ofg and s. (H) Hence, or otherwise, find the depth of the ocean at the place where an earthquake occurred, if the resulting tsunami has a speed of 55 metres per second. Give your answer correct to the nearest metre
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