A particle has initial velocity \( 10 \mathrm{~m} / \mathrm{s} \). It moves due to constant reta...

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A particle has initial velocity \( 10 \mathrm{~m} / \mathrm{s} \). It moves due to constant retarding force along the line of velocity which produces a retardation of \( 5 \mathrm{~m} / \mathrm{s}^{2} \). Then :
(A) The maximum displacement in the direction of initial velocity is \( 10 \mathrm{~m} \)
(B) The distance travelled in first 3 seconds is \( 7.5 \mathrm{~m} \)
(C) The distance travelled in first 3 seconds is \( 12.5 \mathrm{~m} \)
(D) The distance travelled in first 3 seconds is \( 17.5 \mathrm{~m} \).
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