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Q3. a. Two ferries leave the same port half an hour apart and arrive at the same destination together. The faster ferry averaged 5 knots more than the other.

The distance between the two ports is 75 nautical miles. Calculate the average speed of each ferry. (8)

b. The formula T = T₀/(1 - V₂/C² )^1/2 is associated with the study of relativity. Make ν the subject of the formula. (8)