moonlight98
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Never seen an shm question like this before but I think it’s supposed to be one of the trickier ones. I’ve tried drawing a diagram to help but it’s not getting me anywhere. Help pleaseee thanks

The level of the sea in a harbour is assumed to rise and fall with simple harmonic motion. On a certain day low tide occurs at 07.00 hours when the depth of the sea will be 5 m. The next high tide will occur at 13.15 hours when the depth of the sea will be 17 m. A ship wishes to enter the harbour that day and needs a minimum sea depth of 6.5 m.

Calculate, to the nearest minute, the earliest time it can enter the harbour on this day and the time by which it must leave.
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moonlight98
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username3249896
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Find the amplitude
Find the angular frequency
Write an equation for the depth of the sea in terms of time
Solve an equation
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Joinedup
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Bumping a thread after a few minutes is counter productive, it's still on the first page and people will just assume it's been answered.

'assume SHM' means the depth is a sine function of time
you can calculate the mean depth from the high and low tide levels given... the period is double the elapsed time between low tide and the next high tide.

basically you have to do this... https://www.onlinemathlearning.com/s...-equation.html

then find the solution for y>= 6.5
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