gnn ubmitdep 163045 1 4 Q16 As a wave passes by an o piling

gn.n ubmit?dep 163045 1 4 #Q16 As a wave passes by an o piling, the height of the water is modeled by the h(t) = 6 cos( t) where h(t) is the height in feet above mean sea level at time t seconds (a) Find the period of the wave. 10 (b) Find the wave height, that is, the vertical distance between the trough and the crest of the wave.

Solution

h(t) = 6 cos ( pi t / 5 )

period of cos wave is given by 2 pi/ b

b = pi/5

period = 2pi / pi/5 = 10

period = 10

since the amplitude of function is 6

lowest point is -6 and highest point is +6

vertical distance from -6 to +6 = 12 ft