A cyclist exerts a constant driving force of magnitude FN while moving up 36 a straight hill inclined at an angle a to the horizontal, where sin a = 325 constant resistance to motion of 32 N acts on the cyclist. The total weight of the cyclist and his bicycle is 780 N.
The cyclist's acceleration is -0.2 ms.

(i) Find the value of F. The cyclist's speed is 7 ms at the bottom of the hill.

(ii) Find how far up the hill the cyclist travels before coming to rest.