a$)$ A motorycle and nider have a combined mass of $350kg.$ The wheels each have a mass of $20kg$ diameter of $500mm$ and radus of gration of $200mm.$ The rider accelerates uniformly from $5\frac{m}{s}$ to $25ms$ over a dstance of $100m$ whilst climbing a hill of slope $1$ in $20.$ The average resistance to motion including drag is $12CN.$

if State all energy transfers that take place during the ascent of the hill.

if Write an equation for the work done as the motorcycle ascends the hill.

iij Use the equation to determine the total work done by the motorcycle.

M$)$ Calculate the average power developed during the climb.