A classical mechanics problem by Kinjal saxena

Classical Mechanics Level pending

A particle of mass 2kg is projected horizontally with a velocity 4 m/s along the inner surface of a smooth hemispherical shell of radius 5 m at its rim. The particle moves along the inner surface of the sphere. If the horizontal velocity is h and the vertical velocity is v, find

             [h+v ]

Detail and Assumptions : Take g=10. [.] stands for greatest integer function. Units of all physical quantities have to be taken in the SI system of units.

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