# Messi's goal

Classical Mechanics Level 3

In the final match of the UEFA champions league, Messi has to hit the goal from $$2\text{ m}$$ away from it. The height of the goal is $$3\text{ m}$$. There is one fantastic knowledge with Messi that the goalkeeper can stop the ball only at max $$2.5\text{ m}$$ high.

Also, Messi hits the ball with initial speed $$\sqrt{3}\text{ m/s}$$. Find the range of tan(angle) at which there is 100% possibility Messi will hit the goal.

Details and Assumptions:

1. No player is stopping him i.e. no player is in between Messi and goalkeeper.
2. Consider only gravity. Forget about magnus effect ,air resistance, etc.
3. Take $$g=10 \text{ m/s}^2$$.
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