If \( x, y \) and \( z \) are distances moved by a particle moving with a constant acceleration ...

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If \( x, y \) and \( z \) are distances moved by a particle moving with a constant acceleration during \( l \) th, \( m \) th and \( n \)th second of its motion respectively, show that
\[
x(m-n)+y(n-l)+z(l-m)=0
\]
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