What is the range of the bow and arrow used by ancient armies to fight wars

Physical theory has told us that the 45 degree angle of elevation is the furthest, and because of the gravitational potential energy, the maximum range of elevation is also the maximum effective range, which is not the same as flat shooting.

Qin infantry handheld crossbow: 150 meters.

Korean foot-held crossbow: 600 paces.

Roman crossbow: 700 meters.

Song Dynasty bed crossbow: 700 meters.

Arabian Quechuan crossbow: 700 meters.

English longbow: 700 meters.

Mongolian bow: 300 meters.

An ancient long-range weapon with a sharp edge fired from a bow. The bow consists of an elastic arm and a resilient bowstring; the arrow consists of an arrowhead, a shaft and a quill. The arrowheads were made of copper or iron, the shafts were bamboo or wood, and the feathers were those of eagles or hawks. It was one of the important weapons used by the ancient Chinese army.