Two trains travelling on the same track are approaching each other with equal speeds of $40\, m/s$. The drivers of the trains begin to decelerate simultaneously when they are just $2.0\, km$ apart. Assuming the decelerations to be uniform and equal, the value of the deceleration to barely avoid collision should be.........$m/{s^2}$
$11.8$
$11.0$
$2.1$
$0.8$
Two trains travelling on the same track are approaching each other with equal speeds of $40\, m/s$. The drivers of the trains begin to decelerate simultaneously when they are just $2.0\, km$ apart. Assuming the decelerations to be uniform and equal, the value of the deceleration to barely avoid collision should be.........$m/{s^2}$
Both trains will travel a distance of $1\, km$ before to come in rest.
In this case by using ${v^2} = {u^2} + 2as$
$ \Rightarrow 0 = {(40)^2} + 2a \times 1000$
$ \Rightarrow a = - 0.8\;m/{s^2}$
In this case by using ${v^2} = {u^2} + 2as$
$ \Rightarrow 0 = {(40)^2} + 2a \times 1000$
$ \Rightarrow a = - 0.8\;m/{s^2}$
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