The velocity v in meters per second of a certain type of wave is given by v (h) = 3 square root h

Question

Mathematics

Margaret Norman

9 June, 01:27

The velocity v in meters per second of a certain type of wave is given by v (h) = 3 square root h

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Alijah Dickson · Answer 1

The rate of change will be given by:

v (h) = 3√h=3h^0.5

The rate of change will be:

v' (h) = (3*0.5) x^-0.5=1.5x^-0.5

hence when h=2 meters, then the rate of change will be:

v' (h) = 1.5*2^-0.5

v' (h) = 1.061 m/s