# Relative Velocity

Classical Mechanics Level pending

A lift is moving up with an acceleration of $$2\text{ m/s}^2$$. A main in it throws a ball up with a velocity of $$12\text{ m/s}$$ with respect to himself. The ball comes back to the man in time $$t$$. If the ball doesn't hit the roof of the lift, then find $$t$$.

Take $$g = 10\text{ m/s}^2$$.

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