Over The Top!

Gabriel the Grenadier wants to lob a grenade over a huge barrier in front of him. He models the scenario in the following way:

The grenade is a point mass that is thrown with a variable velocity $u$, at a variable angle $\theta$. The barrier is a cylinder with a radius of $R= 2m$.

Find the minimum value of $u$ (in m/s) for which the particle crosses the log.

Details and assumptions

Neglect air resistance and viscosity.
Take $g=9.8 m/s^2$.

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