5. A cyclist is riding up a hill inclined at an angle of \(5 ^ { \circ }\) to the horizontal. She produces a driving force of 50 N and experiences resistive forces which total 20 N .
Given that the combined mass of the cyclist and her bicycle is 70 kg ,
- find, correct to 2 decimal places, the magnitude of the deceleration of the cyclist.
When the cyclist reaches the top of the hill, her speed is \(3 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). She subsequently accelerates uniformly so that in the fifth second after she has reached the top of the hill, she travels 12 m .
- Find her speed at the end of the fifth second.
(8 marks)