A stone is dropped from the \(25^{\text {th }}\) storey of a multistoried building and reaches the ground in…

A stone is dropped from the \(25^{\text {th }}\) storey of a multistoried building and reaches the ground in \(5 \mathrm{~s}\). In the first second, it passes through how many storeys of the building?$(g=10 \, \mathrm{m} / \mathrm{s}^{2})$

Solution

Suppose \(h\) be the height of each storey, then
\(25 h=0+\frac{1}{2} \times 10 \times t^{2}=\frac{1}{2} \times 10 \times 5^{2} \text { or } h=5 \mathrm{~m}\)
In first second, let the stone passes through \(n\) storey, so \(n \times 5=\frac{1}{2} \times 10 \times(1)^{2}\) or \(n=1\)

Asked in: JEE Mains - Motion In One Dimension - Chapter Test

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