So I have a question that is, minimise the net energy used for a human on the journey between A and B.
Assume the human is 70kg and the distance is around 10km. Assume it is all horizontal.
I have found that speed will not come into play here because $W=F\cdot d$, being $W$ the work done, $F$ the force and $d$ the distance.
This is where I start to struggle: - apart from the initial acceleration and final deceleration of the journey I'm moving at a constant speed, so I won't do any work because $F = ma$. And my acceleration will be 0, so $F = 0$.
- but I must expend some energy walking 10km?
How do I find the energy moving from A to B?
To add complexity, how do I calculate the work done/energy consumed with a hill added in the middle?