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Q. A body is dropped from a certain height $h(h$ is very large) and second body is thrown downward with velocity of $5\, m / s$ simultaneouly. What will be difference in heights of the two bodies after $3\, s$ ?

Motion in a Straight Line

Solution:

$u_{\text {rel }}=u_{1}-u_{2}=0-(-5)=5\, ms ^{-1}$
$t=3\, s$
$a_{ rel }= a _{1}-a_{2}=-g-(-g)=0\, ms ^{-2}$
$s_{ rel }=u_{ rel } t+\frac{1}{2} a_{ rel } t^{2}$
$\Rightarrow \quad s_{ rel }=5 \times 3=15\, m \left(\because a_{ rel }=0\right)$
So, $S_{\text {rel }}=15\, m$