An elevator without a ceiling is ascending up with an acceleration of \( 5 \mathrm{~ms}^{-2} \). A boy on the elevator shoots a ball in vertically upward direction from a height of \( 2 \mathrm{~m} \) above the floor of elevator. At this instant, the elevator is moving up with a velocity of \( 10 \mathrm{~m} \mathrm{~s}^{-1} \) and floor of the elevator is at a height of \( 50 \mathrm{~m} \) from the ground. The initial speed of the ball is \( 15 \mathrm{~m} \mathrm{~s}^{-1} \) w.r.t. the elevator. Consider the duration for which the ball strikes the floor of the elevator in answering following questions:
The time in which the ball strikes the floor of elevator is given by
(1) \( 2.13 \mathrm{~s} \)
(2) \( 4.26 \mathrm{~s} \)
(3) \( 1.0 \mathrm{~s} \)
(4) \( 2.0 \mathrm{~s} \)
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