Horses were permitted to wander the plains freely.
Mostely they run free in the wild.
Yes, horses should have ample space to graze, roam, and move freely in order to maintain their physical and mental well-being. Providing enough space allows them to exhibit natural behaviors and reduces the risk of stress-related issues.
A horses color has no bearing on it's physical abilities. Strength will depend on the horses conformation , training , and willingness.
No, the Lakota Indians did not corral their horses. They were a nomadic tribe that relied on horseback for transportation and hunting, so their horses roamed freely.
Stalled horses should have some turn-out time daily if at all possible. Horses are large animals that need regular exercise and play time, ideally with other horses to maintain physical and mental good health. The best scenario is of course to keep your horse out during the day if he must be in a stall at night. He will be much happier which of course means you will be much happier also.
the color, breed anything physical
Because horses and carriages were expensive and difficult to maintain.
Mustangs are not usually as tall as dometstic horses. In the wild its easier to maintain 14.2 hh than it is to maintain 16hh. The average American Mustang is about 14.2 to 15.2. This is just the average, there are taller and smaller.
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No, horses are mammals, give live birth after internal fertilisation, have an internal skeleton and a spine, and maintain a body temperature - which means they are warm blooded.
Basically a similar way a human could. Often times domestic horses have fans in their stables. Wild horses and domestic horses need a lot of water. Sometimes owners will give their horses electrolytes to keep them hydrated. Just like humans horses are able to sweat to help maintain body temperature