A point moving in a straight line travels in its second, fifth and eleven seconds of motion \( 1...

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A point moving in a straight line travels in its second, fifth and eleven seconds of motion \( 16 \mathrm{~m}, 28 \mathrm{~m} \) and 52 \( \mathrm{m} \) respectively. The point is moving with constant acceleration. The total distance moved in 10 seconds is \( 100 \times a \mathrm{~m} \). What is the value of \( a \) ?
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