# What is the relationship between the angle of projection and the range reached?

I'm trying to formulate a hypothesis about projectile motion.

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- oubaasLv 71 month ago
in case of level range (equal shooting and landing heights)

Range R = V^2/g*sin (2Θ)

such formula shows that the wider range for a certain shooting speed V is obtained when sin (2Θ) is max and equal to 1 , and this happens for Θ = 45°.

If, instead, shooting and landing heights are not the same , then the upper formula isn't applicable any longer : previous solved problems as shown than the optimum shooting angle moves away from 45° as much as higher is the difference between shooting and landing heights

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