(a)[2]
The aeroplane is moving horizontally. Its engines are supplying a constant power of $5500\,\text{kW}$, and the aeroplane is acted on by a constant horizontal resistive force of $25\,\text{kN}$. Determine the aeroplane’s speed.
(b)[4]
The aeroplane then climbs $300\,\text{m}$ in $50\,\text{s}$, while keeping the same speed. The resistance force is no longer constant, and the work done against the resistance force in climbing the $300\,\text{m}$ is $270000\,\text{kJ}$. The mass of the aeroplane is $60000\,\text{kg}$. Find the average power of the aeroplane’s engines.