(In this question you should assume g is 9.8 ms)
A lorry has mass 6 tonnes (6000 kg) and its engine can develop a maximum power of 10 kW. When the speed of the lorry is v ms¹ the total non-gravitational resistance to motion has magnitude 25v N. Find the maximum speed of the lorry when travelling
(a) along a straight horizontal road,
(b) up a hill which is inclined at an angle sin' (1/100) to the horizontal, giving your answer to 2 decimal places.

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