An object is dropped from a height h, then the distance travelled in times t, 2t, 3t are in the ratio

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An object is dropped from a height h, then the distance travelled in times t, 2t, 3t are in the ratio

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1 : 9 : 5

1 : 4 : 9

1 : 3 : 5

1 : 2 : 3

answer is B.

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Detailed Solution

$s_{1} = \frac{1}{2} {gt}^{2}$

$s_{2} = \frac{1}{2} g {(2 t)}^{2} = 4 s_{1}$

$s_{3} = \frac{1}{2} g {(3 t)}^{2} = 9 s_{1}$

$s_{1} : s_{2} : s_{3} = s_{1} : 4 s_{1} : 9 s_{1} = 1 : 4 : 9$

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