Surely if i have modified car with standard brakes it will come to stand still within exactly same distance as non modified car with standard brakes if both cars brake from 60mph ?
Exactly.
Brakes turn the kinetic energy of the car to heat. The basic formula for kinetic energy is "1/2x(mass x speed (squared))". That calculation has nothing to do with how powerful your engine is.
However - the 'speed/velocity' part of the equation is dependent on how hard you press the fast pedal, and the rate of acceleration (which is determined by a) how powerful your engine is (and gearing) b) how heavy your car is)
The relationship between engine power and spec of your brakes comes into play when you consider driving circumstances where you are accelerating hard before you need to brake. Which is what most people here are eluding too.
A more powerful engine gives you the potential for reaching a higher speed over a given distance (compared to a standard car). Therefore, in a 'race' situation (or over excited driving on the road), the more powerful car is likely to be travelling faster (more kinetic energy) than a standard car... therefor more heat generated during braking.
The braking system has a capacity for heat. Once it is reached, you suffer brake fade, spongy pedals etc.
Bigger brakes have a higher capacity and ability to dissipate heat better.
A standard car could probably also cook big brakes etc, but it would require some seriously hard driving and punishment of the brakes. Alternatively, a 300+hp car could operate fine on standard brakes - assuming you do not drive remotely hard (but push it a little and you can easily find yourself in big trouble when trying to stop).
Bottom line. If you are not going to be attacking your brakes, trying to brush off big speed repeatedly etc, then a healthy set of standard brakes are probably going to be fine (regardless of engine power). However if you intend to push your car (standard or modified) and attack the brakes, you are likely to cook the standard brakes - and hence should think about how to avoid cooking them.
Regular basic maintenance (fresh/correct fluid)
Quality pads/discs
Addditional cooling ducts
Upgraded caliper/discs/pads
Parachute
Air brake
Anchor
Reverse thrust...
the options are endless.
Asses your requirements. Figure out how robust you need your brakes to be. Make a decision.
However - dont skimp on brakes. Even if you keep your car and brakes standard, you are talking about a quick car in general... dont use tesco value brake pads (that is not a message to anyone specifically!).
Alzak - I'm in a similar position to you using my car 100% on the road, except my car is standard (edition30) and likely to stay that way for a while. I'm looking to stick with OEM discs and maybe an upgrade on pads, like the mintex or ferrodo options you mention. Service the silders etc & finally some fresh fluid flushed through by my dealer should keep them working fine.
I dont find that I drive the car too hard on the road. Yes I do enjoy it, but it is not sustained abuse lol. If in the future I find my requirements change, I can upgrade from there if needs be. But so far, yes they could be better, but the standard brakes work fine for me and I drive accordingly.
If you find you do enjoy driving your car hard, an upgrade of the front brakes might be worth while - espec if you are likely to be running more power soon.