A body is projected up along a smooth inclined plane with velocity \( u \) from the point \( A \...

A body is projected up along a smooth inclined plane with velocity \( u \) from the point \( A \) as shown in figure. The angle of inclination is \( 45^{\circ} \) and the top is connected to a well of diameter \( 40 \mathrm{~m} \). If the body just manages to cross the well, what is the value of \( u \) ? The length of inclined plane is \( 20 \sqrt{2} \mathrm{~m} \).
(1) \( 40 \mathrm{~ms}^{-1} \)
(2) \( 40 \sqrt{2} \mathrm{~m} \mathrm{~s}^{-1} \)
(3) \( 20 \mathrm{~ms}^{-1} \)
(4) \( 20 \sqrt{2} \mathrm{~m} \mathrm{~s}^{-1} \)