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  4. A child is sitting on a swing. Its minimum and maximum heights from the ground are 0.75 m and 2 m respectively, its maximum speed will be

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Q. A child is sitting on a swing. Its minimum and maximum heights from the ground are $0.75\, m$ and $2\, m$ respectively, its maximum speed will be

ManipalManipal 2011Motion in a Straight Line

Solution:

Maximum speed $v =\sqrt{2 g\left(h_{2}-h_{1}\right)}$
$=\sqrt{2 \times 10 \times(2-0.75)}$
$=\sqrt{(20 \times 1.25)}$
$=\sqrt{25}=5\, m / s$