# Project Gravita

A particle is projected from the surface of the earth (of radius R and mass M) with speed $$V$$ given by

$V=\sqrt{\frac{GM}{R}}$ at a certain angle from the local horizantal as shown in the figure such that the angle subtended by arc between launching and landing site at earth's centre is $\beta=\frac{\pi}{2}$

Maximum separation of the particle from the centre of the earth is xR. find $$\lfloor 10x\rfloor$$

Consider the earth to be uniformly dense and air resistance to be absent.

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