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Q. A person sitting in the ground floor of a building notices through the window, of height $1.5\, m$, a ball dropped from the roof of the building crosses the window in $0.1\, s$. What is the velocity of the ball when it is at the topmost point of the window ? $(g = 10 \,m/s^{2})$

NEETNEET 2020Motion in a Straight Line

Solution:

$S=ut+\frac{1}{2}at^{2}$
image
$1.5=u(0.1)+\frac{1}{2}(10) (0.1) (0.1)$
$15=u+0.5$
$\Rightarrow u=14.5\,ms^{-1}$