On a cricket field, the batsman is at the origin of coordinates and a fielder stands in position...

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On a cricket field, the batsman is at the origin of coordinates and a fielder stands in position given as
\( \mathrm{P} \) \( (46 \hat{i}+28 \hat{j}) \mathrm{m} \). The batsman hits the ball so that it rolls along the

W ground with constant velocity given by \( (7.5 \hat{i}+10 \hat{j}) \mathrm{m} / \mathrm{s} \). The fielder can run with a speed of \( 5 \mathrm{~m} / \mathrm{s} \). If the starts to run immediately the ball is hit, what is the shortest time in which he could intercept the ball.
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