Projectiles aren't as easy as you might think

A ball is thrown from ground With a velocity v0v_{0}, and at an angle θ\theta. With what angle θ\theta should the ball be thrown to give it maximum arc length or maximum distance for its trajectory to cover? If θ\theta is the maximum value find:

θ\left\lfloor \theta \right\rfloor in degree?

Details and Assumptions

Maximum range doesn't necessarily mean maximum arc length.

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