The speed v ( L ) (in m/sec) of an ocean wave in deep water is approximated by v ( L ) = 1.2 L , where L (in meters) is the wavelength of the wave. (The wavelength is the distance between two consecutive wave crests.) Find the average rate of change in speed between waves that are between 1 m and 4 m in length. Find the average rate of change in speed between waves that are between 4 m and 9 m in length. Use a graphing utility to graph the function. Using the graph and the results from parts (a) and (b), what does the difference in the rates of change mean?
The speed v ( L ) (in m/sec) of an ocean wave in deep water is approximated by v ( L ) = 1.2 L , where L (in meters) is the wavelength of the wave. (The wavelength is the distance between two consecutive wave crests.) Find the average rate of change in speed between waves that are between 1 m and 4 m in length. Find the average rate of change in speed between waves that are between 4 m and 9 m in length. Use a graphing utility to graph the function. Using the graph and the results from parts (a) and (b), what does the difference in the rates of change mean?
The speed v(L) (in m/sec) of an ocean wave in deep water is approximated by
v
(
L
)
=
1.2
L
, where L (in meters) is the wavelength of the wave. (The wavelength is the distance between two consecutive wave crests.)
Find the average rate of change in speed between waves that are between 1 m and 4 m in length.
Find the average rate of change in speed between waves that are between 4 m and 9 m in length.
Use a graphing utility to graph the function. Using the graph and the results from parts (a) and (b), what does the difference in the rates of change mean?
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