A particle of mass \( M \) is moved rectilinearly under constant power \( P_{0} \). At some in...

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A particle of mass \( M \) is moved rectilinearly under constant power \( P_{0} \). At some instant after the start, its speed is \( v \) and at a later instant, the speed is \( 2 v \). Neglecting friction, distance travelled (in \( \mathrm{m} \) ) by the particle as its speed increases from \( v \) to \( 2 v \) is \( 7 x \). Find \( x \) (Take \( P_{0}=4 \) watt, \( M=12 \mathrm{~kg}, v=3 \mathrm{~m} / \mathrm{s} \) ).
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