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DolphinAttack

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A dolphin was swimming at a constant rate of 25 kmh-1 in a circular path around a small Island.

The radius of the circular path was 0.5 km from the centre of the Island.

The centre of the Island is 4km due north of the resort beach.

The distance north of the dolphin from the resort beach, N km can be modelled by a function of the form

N = A sin Bt + C

where t is the time in hours.

Find the values for A, B and C and hence state the model for N.


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