GATE ME 2018 ME Q28: Engineering Mechanics

A point mass is shot vertically up from ground level with a velocity of 4 m/s at time,

. It loses 20% of its impact velocity after each collision with the ground. Assuming that the acceleration due to gravity is 10 m/s

and that air resistance is negligible, the mass stops bouncing and comes to complete rest on the ground after a total time (in seconds) of

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