Two trains, which are moving along different tracks in opposite directions are put on the same track by…
Two trains, which are moving along different tracks in opposite directions are put on the same track by mistake. On noticing the mistake, when the trains are $300 \mathrm{~m}$ apart the drivers start slowing down the trains. The graphs given below show decrease in their velocities as function of time. The separation between the trains when both have stopped is
$120\ m$
$20\ m$
$60\ m$
$280\ m$
Solution
Given initial distance between trains $=300 \mathrm{~m}$.
From given graph and as per question two trains are moving in opposite direction. So the separation between the trains when both have stopped
$\begin{aligned}
& =300-\left(\frac{1}{2} \times 10 \times 40+\frac{1}{2} \times 9 \times 20\right) \\
& =300-200+80=20 \mathrm{~m}
\end{aligned}$
Given $\theta$ is the angle between the total acceleration and tangential acceleration.
