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  4. A particle starting from rest falls from a certain height. Assuming that the value of acceleration due to gravity remains the same throughout motion, its displacements in three successive half second intervals are S1, S2, S3 . Then,

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Q. A particle starting from rest falls from a certain height. Assuming that the value of acceleration due to gravity remains the same throughout motion, its displacements in three successive half second intervals are $S_{1}, S_{2}, S_{3} .$ Then,

Motion in a Straight Line

Solution:

$As , s' \propto t^{2}$
Now, $s_{1}': s_{2}': s_{3}'=\frac{1}{4}: 1: \frac{9}{4}$ or $1: 4: 9$
For successive intervals,
$s_{1}: s_{2}: s_{3}=1:(4-1):(9-4)$
or $s_{1}: s_{2}: s_{3}=1: 3: 5$