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The driver of a train is running atm25 m per second sights a train be moving in the same direction of the same track with 15 M per second the driver of train apply brake to produce the deceleration of 1 M per second square what should be the minimum distance between the train to to avoid the accident?
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The driver of a train is running atm25 m per second sights a train be ...
Calculating the minimum distance to avoid an accident:
- First, let's find the relative speed of the two trains by subtracting their speeds (25 m/s - 15 m/s = 10 m/s).
- Next, calculate the time it will take for the driver to react by dividing the relative speed by the deceleration (10 m/s / 1 m/s^2 = 10 seconds).
- Use this time to find the distance traveled during the reaction time by multiplying the relative speed by the reaction time (10 m/s * 10 s = 100 meters).
- Finally, calculate the minimum stopping distance by using the equation:
distance = initial speed * time + 0.5 * deceleration * time^2
distance = 15 m/s * 10 s + 0.5 * 1 m/s^2 * (10 s)^2
distance = 150 m + 0.5 * 1 m/s^2 * 100 s^2
distance = 150 m + 50 m
distance = 200 meters.
Therefore, the minimum distance between the two trains to avoid an accident should be 200 meters. This ensures that the train has enough distance to react and come to a stop before reaching the other train.
- First, let's find the relative speed of the two trains by subtracting their speeds (25 m/s - 15 m/s = 10 m/s).
- Next, calculate the time it will take for the driver to react by dividing the relative speed by the deceleration (10 m/s / 1 m/s^2 = 10 seconds).
- Use this time to find the distance traveled during the reaction time by multiplying the relative speed by the reaction time (10 m/s * 10 s = 100 meters).
- Finally, calculate the minimum stopping distance by using the equation:
distance = initial speed * time + 0.5 * deceleration * time^2
distance = 15 m/s * 10 s + 0.5 * 1 m/s^2 * (10 s)^2
distance = 150 m + 0.5 * 1 m/s^2 * 100 s^2
distance = 150 m + 50 m
distance = 200 meters.
Therefore, the minimum distance between the two trains to avoid an accident should be 200 meters. This ensures that the train has enough distance to react and come to a stop before reaching the other train.
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The driver of a train is running atm25 m per second sights a train be moving in the same direction of the same track with 15 M per second the driver of train apply brake to produce the deceleration of 1 M per second square what should be the minimum distance between the train to to avoid the accident?
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The driver of a train is running atm25 m per second sights a train be moving in the same direction of the same track with 15 M per second the driver of train apply brake to produce the deceleration of 1 M per second square what should be the minimum distance between the train to to avoid the accident? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The driver of a train is running atm25 m per second sights a train be moving in the same direction of the same track with 15 M per second the driver of train apply brake to produce the deceleration of 1 M per second square what should be the minimum distance between the train to to avoid the accident? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The driver of a train is running atm25 m per second sights a train be moving in the same direction of the same track with 15 M per second the driver of train apply brake to produce the deceleration of 1 M per second square what should be the minimum distance between the train to to avoid the accident?.
The driver of a train is running atm25 m per second sights a train be moving in the same direction of the same track with 15 M per second the driver of train apply brake to produce the deceleration of 1 M per second square what should be the minimum distance between the train to to avoid the accident? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The driver of a train is running atm25 m per second sights a train be moving in the same direction of the same track with 15 M per second the driver of train apply brake to produce the deceleration of 1 M per second square what should be the minimum distance between the train to to avoid the accident? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The driver of a train is running atm25 m per second sights a train be moving in the same direction of the same track with 15 M per second the driver of train apply brake to produce the deceleration of 1 M per second square what should be the minimum distance between the train to to avoid the accident?.
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