(i)[2]
A cyclist travels along a horizontal straight road at a steady power output of $P\,\text{W}$. Determine $P$ if the cyclist’s speed is $5\,\text{m s}^{-1}$ when the acceleration is $1.2\,\text{m s}^{-2}$.
(ii)[3]
The cyclist is travelling up a straight hill at an angle $\alpha$, where $\sin \alpha = 0.035$. Determine the cyclist’s acceleration at an instant when he is producing $450\,\text{W}$ and has speed $3.6\,\text{m s}^{-1}$.