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Q. A stone is dropped from the top of a tower of height $h$ After $1 \,s$ another stone is dropped from the balcony $20\, m$ below the top. Both reach the bottom simultaneously. What is the value o f $h$ in $(m)$ ? Take $g = 10 \,ms^{-2}$

Motion in a Straight Line

Solution:

$h=\frac{1}{2}gt^{2}$ and $h-20=\frac{1}{2}g (t-1)^{2}$
Solving them, we get $t=2.5\,s$ and $h=31.25\,m$