Project Gravita

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

V=GMRV=\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 β=π2\beta=\frac{\pi}{2}

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

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

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