# Lift problems

From a lift moving upwards with a uniform acceleration $$a=\SI[per-mode=symbol]{2}{\meter\per\second\squared}$$, a man throws a ball vertically upwards with a velocity $$v_0=\SI[per-mode=symbol]{12}{\meter\per\second}$$ relative to the lift. The ball comes back to the man after the time $$t$$. Find the value of $$t$$.

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