a water wave is a shallow water wave if the water depth d is less than 10 it is shown in hydrody

First, we need to calculate the average depth of the water over the last 90 m. Since the depth i

Question

A water wave is a shallow-water wave if the water depth d is less than ≈λ/10. It is shown in hydrodynamics that the speed of a shallow-water wave is v=√gd, so waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 90 m, are shallow-water waves when the water depth is less than ≈ 9.0 m. Consider a beach where the depth increases linearly with distance from the shore until reaching a depth of 4.0 m at a distance of 90 m. Part A How long does it take a wave to move the last 90 m to the shore? Assume that the waves are so small that they don't break before reaching the shore.

          A water wave is a shallow-water wave if the water depth d is less than ≈λ/10. It is shown in hydrodynamics that the speed of a shallow-water wave is v=√gd, so waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 90 m, are shallow-water waves when the water depth is less than ≈ 9.0 m. Consider a beach where the depth increases linearly with distance from the shore until reaching a depth of 4.0 m at a distance of 90 m.

Part A
How long does it take a wave to move the last 90 m to the shore? Assume that the waves are so small that they don't break before reaching the shore.

Added by George A.

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