A certain bay with very high tides displays the following be

A certain bay with very high tides displays the following behavior. In one 12-hour period the water starts at mean sea level, rises to 13 ft above, drops to 13 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-hour period.)

Solution

amplitude A=13

given time perid =2/B=12

B=(2)/12

B=/6

comparing with y =Asin(Bt)

y=13sin((/6)t)