the simple equation for kinetic energy is 1/2MV^2, right? but that's disregarding resistance, how would you work out the energy required to accelerate a car of say 1000 kg for simplicity to 10 meters a second and maintain that speed for a further 100 seconds under average earth like conditions. also is ther a way to combine variables such as resitance with the formula mentioned above and that for gravitational potential: mass x gravity x height, for example to work out how much enrgy a plane must expend to climb to a certain height and fly a certain distance? thanks guys

the simple equation for kinetic energy is 1/2MV^2, right? but that's disregarding resistance, how would you work out the energy required to accelerate a car of say 1000 kg for simplicity to 10 meters a second and maintain that speed for a further 100 seconds under average earth like conditions. also is ther a way to combine variables such as resitance with the formula mentioned above and that for gravitational potential: mass x gravity x height, for example to work out how much enrgy a plane must expend to climb to a certain height and fly a certain distance? thanks guys

Your question is indeed a valid one. And there are indeed mathematical components to address your issue. Unfortunately it depends on just how accurate one wants data as to what one uses.

Cv is an expression of air resistance of a car moving down the road and it is not a linear function. That is it increases resistance with increased speed and the aerodynamic design of the car.

There is friction to the road way to the tires and that varies with load (due to changing contact pressure and area that the tire based on its inflation vs weight of the car. The tire composition and thread geometry, road temperature and tire temperature, surface conditions, roughness and moisture, etc.

You have all sorts of energy transfer efficiency issues and thermodynamic issues including entrophy. Carnot Efficiency is the theortical maximum heat energy conversion and is:

Carnot Eff = (1 - T Cold/T Hot) where T is in degrees Rankine or F absolute)

It can get rather complex depending on just how accurate you are trying to describe the event.

Most of the effects you mention, bonemeal, are frictional effects of one kind or another. If you can be more specific, I can go into more detail about these. Different types of friction depend on different factors (e.g. contact friction between tires and the road is different from friction causing air resistance).