1. Tardigrade
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  3. Physics
  4. One stone is dropped from a tower from rest and simultaneously another stone is projected vertically upwards from the tower with some initial velocity. The graph of the distance(s) between the two stones varies with time (t) as (before either stone hits the ground)

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Q. One stone is dropped from a tower from rest and simultaneously another stone is projected vertically upwards from the tower with some initial velocity. The graph of the distance(s) between the two stones varies with time $(t)$ as (before either stone hits the ground)

NTA AbhyasNTA Abhyas 2020Motion in a Plane

Solution:

$s_{1}(t)=\frac{1}{2} g t^{2}$ (downwards) and
$s_{2}(t)=u t-\frac{1}{2} g t^{2}$ (upwards)
Solution
$\therefore $ Distance between the two stones will be
$s=s_{1}(t)+s_{2}(t)=u t$
Therefore, $s-t$ graph will be a straight line passing through origin.