A body falling under gravity covers two points A and B separated by 80 m in 2 s. The distance of upper point A from the starting point is _____ m (use g = 10 ).

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Solution

Q.
A body falling under gravity covers two points A and B separated by 80 m in 2 s. The distance of upper point A from the starting point is _____ m (use g = 10 ${ms}^{- 2}$ ). [2024]

Ans.
(45)

From A $\to$ B

$- 80 = - 2 v_{1} - \frac{1}{2} \times 10 \times 2^{2}$

$- 80 = - 2 v_{1} - 20$

$- 60 = - 2 v_{1}$

$v_{1} = 30 m/s$

From O to A

$v^{2} = u^{2} + 2 g s$

$30^{2} = 0 + 2 \times (- 10) \times (- s)$

$900 = 20 s$

$s = 45 m$

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