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2.Motion in Straight Line
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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..........$m/s^2$
A$11.8$
B$11$
C$2.1$
D$0.8$
Solution
Both trains will travel a distance of $1 \mathrm{km}$ before
to come in rest. ln this case by using
$v^{2}=u^{2}+2 a s$
$\Rightarrow 0=(40)^{2}+2 \mathrm{a} \times 1000$
$\Rightarrow \mathrm{a}=-0.8 \mathrm{m} / \mathrm{s}^{2}$
to come in rest. ln this case by using
$v^{2}=u^{2}+2 a s$
$\Rightarrow 0=(40)^{2}+2 \mathrm{a} \times 1000$
$\Rightarrow \mathrm{a}=-0.8 \mathrm{m} / \mathrm{s}^{2}$
Standard 11
Physics
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