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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Motion in Two Dimensions

NTA Abhyas 2020 · Physics · Motion in Two Dimensions

Two trains, which are moving along different tracks in opposite...

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 300m300m 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?

Two trains, which are moving along different tracks in opposite directions towards each other, are put on the same Two trains, which are moving along different tracks in opposite directions towards each other, are put on the same

Options

  1. A8
  2. B20
  3. C10
  4. D15

Correct answer

B. 20

Step-by-step solution

Using the concept that the area under the v-t graph gives the change in displacement.

s1=12×10×40=200m{s}_{1} = \dfrac{1}{2} \times 10 \times 40 = 200m

s2=−12×8×20=−80m{s}_{2} = \dfrac{- 1}{2} \times 8 \times 20 = - 80m

Relative displacement

srelative=s1−s2=(200)−(−80)=280{\text{s}}_{\text{relative}} = {s}_{1} - {s}_{2} = \left(200\right) - \left(- 80\right) = 280

Finalseparation = 300 - 280 = 20m
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