3 A cyclist is riding along a straight horizontal road. The total mass of the cyclist and his bicycle is 90 kg . The power exerted by the cyclist is 250 W . At an instant when the cyclist's speed is \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\), his acceleration is \(0.1 \mathrm {~ms} ^ { - 2 }\).

1. Find the value of the constant resistance to motion acting on the cyclist.
   The cyclist comes to the bottom of a hill inclined at \(2 ^ { \circ }\) to the horizontal.
2. Given that the power and resistance to motion are unchanged, find the steady speed which the cyclist could maintain when riding up the hill.