It's Blocking The Home Run!

A Baseball player is ready to hit a Home Run. But, he notices a wall, which is at a distance L\displaystyle L meters from him, standing H\displaystyle H meters high.

This player turns out to be the laziest player in the team, but nonetheless very clever. He devices a situation where he can cross the wall with minimum effort (i.e with minimum initial speed).

Find this minimum speed umin\displaystyle u_{min}.

Details and Assumptions:
\bullet L=10m\displaystyle L = 10m
\bullet H=5m\displaystyle H = 5m
\bullet Take g=9.8m/s2\displaystyle g = 9.8m/s^2


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