Two trains, which are moving along different tracks in opposite directions towards each other, are put on the same track due to a mistake. Their drivers, on noticing the mistake, start slowing down the trains when the trains are 300 m apart. Graphs given below show their velocities as a function of time as the trains slow down. What is the separation between the trains (in metre) when both have stopped?

Question

Two trains, which are moving along different tracks in opposite directions towards each other, are put on the same track due to a mistake. Their drivers, on noticing the mistake, start slowing down the trains when the trains are 300 m apart. Graphs given below show their velocities as a function of time as the trains slow down. What is the separation between the trains (in metre) when both have stopped?,

MARKS App · Accepted Answer

Using the concept that the area under the v-t graph gives the change in displacement. s 1 = 1 2 × 10 × 40 = 200 m s 2 = - 1 2 × 8 × 20 = - 80 m Relative displacement s relative = s 1 - s 2 = 200 - - 80 = 280 F i n a l s e p a r a t i o n = 300 - 280 = 20 m

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