A small ball thrown at an initial velocity \( u=25 \mathrm{~m} / \mathrm{s} \) directed at an an...

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A small ball thrown at an initial velocity \( u=25 \mathrm{~m} / \mathrm{s} \) directed at an angle \( \theta=37^{\circ} \) above the horizontal collides elastically with a vertical massive smooth wall moving with a uniform horizontal velocity \( u / 5 \) towards the ball. After collision with the wall the ball returns to the point from where it was thrown. Determine the time \( t \) (in \( \mathrm{s} \) ) from the beginning of motion of the ball to the moment of its impact with the wall. \( \left(\right. \) Take \( \left.g=10 \mathrm{~m} / \mathrm{s}^{2}\right) \)
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