When waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Green's law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location of water depth d, then the new height h of the wave is given by h = HR 0.25, where R is the water depth ratio given by R = D/d. (Round your answers to two decimal places.) (a) Calculate the height of a tsunami wave in water 20 feet deep if its height is 3 feet at its point of origin in water 15,000 feet deep. ______ ft (b) If water depth decreases by a third, the depth ratio R is increased by 1.5. How is the height of the tsunami wave affected? The new height of a tsunami wave is _____times the height before R is increased by 1.5.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.