(i)[3]
At a van speed of $20\,\mathrm{m\,s^{-1}}$, the acceleration is $0.2\,\mathrm{m\,s^{-2}}$. Determine the resistance force.
(ii)[3]
The van is then moving at $30\,\mathrm{m\,s^{-1}}$ and starts climbing a hill at an angle of $1.5^\circ$ to the horizontal. The power is raised and the resistance force remains equal to the value found in part (i). Determine the power needed to keep the van at $30\,\mathrm{m\,s^{-1}}$.
(iii)[4]
The engine is switched off while the van is still moving at $30\,\text{m s}^{-1}$, and the van slows to a halt. Find how far the van travels up the hill from the moment the engine is stopped to the moment it comes to rest.