In: Physics
In part a, work required is equal to the change in kinetic energy is just conservation of energy.
in part b we have calculated power required for accelerating from 0 to 100 km/h is 140.37 hp that is greater than bike's given capacity (95 hp). So it is not possible to accelerate from 0 to 100 km/h by his motorcycle. His claim is not correct.
If you have any doubt, feel free to ask in the comments.