Cavemen did not have just brute force, they were humans who lived in caves. They hunter with spears and slings, and sometimes fought each other.
Even though the Astronaughts suit would be cumbersome and would slow him down, his suit could probably protect him from a slings rock and may even turn away the flint tipped spears. Anywho, the astronaut would most certainly win - he has a gun.
The only way the caveman could win was to smash the astronauts head through the helmet whilst the astronaut was sleeping. However, this would be unlikley because cavemen, like us, have consciences and morals.
The cavemans point of action would be to either run away through fear of the strange being or to attack by throwing a spear or rock in a sling. The caveman would have a very slow rate of fire. He wears only leather and fur if in the winter. In a hot summer he would possibly wear nothing or only a loincloth type dresswear - which would serve as no protection from the incredibly fast bullets.
The caveman would not fear the gun so would not try to avoid the bullets. The caveman would probably also not be hostile when sighting the astronaut. Rather, he would be curious, and the astronaut would kill him with ease.
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