Two trains, which are moving along different | vedclass

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(B) The initial distance between the trains is $d_0 = 300 \, m$.The distance covered by a train is equal to the area under its velocity-time graph.For

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$20$

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(B) The initial distance between the trains is $d_0 = 300 \, m$.The distance covered by a train is equal to the area under its velocity-time graph.For Train $I$, the area under the $v-t$ graph is $A_1 = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes 10 \, s 	imes 40 \, m/s = 200 \, m$.For Train $II$, the magnitude of the area under the $v-t$ graph is $A_2 = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes 8 \, s 	imes 20 \, m/s = 80 \, m$.Since the trains are moving in opposite directions towards each other, the total distance covered by both trains before stopping is $d_{total} = A_1 + A_2 = 200 \, m + 80 \, m = 280 \, m$.The final separation between the trains when both have stopped is $d_{final} = d_0 - d_{total} = 300 \, m - 280 \, m = 20 \, m$.

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