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Q5. The power, P, required to propel a certain vessel and the speed, V, of the vessel are related by:

P = aV³ + b where a and b are constants.

Table Q5 indicates recorded values of P and V.

(a) Using the values in Table Q5 draw a straight line graph to verify the relationship between P and V; (10)

Suggested scales: horizontal axis 2 cm = 400

vertical axis 2 cm = 400

(b) Use the graph drawn in Q5(a) to determine approximate values of a and b. (6)