Answer:
[tex]\frac{\partial y(x,t)}{\partial t} = 20.72\cdot \sin(2.2\cdot x-5.6\cdot t)[/tex]
Step-by-step explanation:
The vertical speed of an ocean wave at any point and any time is obtained by using partial derivatives in the vertical displacement function. That is to say:
[tex]\frac{\partial y(x,t)}{\partial t} = -3.7\cdot \sin(2.2\cdot x - 5.6\cdot t)\cdot (-5.6)[/tex]
[tex]\frac{\partial y(x,t)}{\partial t} = 20.72\cdot \sin(2.2\cdot x-5.6\cdot t)[/tex]
