DieselShip's Online Content Library

Q2. (a) A ship’s fuel consumption varies directly as the square of the ship’s speed and indirectly as the calorific value of the fuel.

If the ship burns 90 tons of fuel per day of calorific value 48 MJ/kg when sailing at 20 knots, determine the daily consumption of the ship when using fuel of calorific value 44MJ/kg and sailing at 22knots.       (8)

(b) fully factorise EACH of the following:

(i) 2x³ - 3x² + 16x - 24; (3)

(ii) 12x³ - 3xy²;    (2)

(iii) 9x² - 10x - 16. (3)