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Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?
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Two trains A and B of length 400 m each are moving on two parallel tra...
Gud question use equation of motion from which test u got this question
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Two trains A and B of length 400 m each are moving on two parallel tra...
Problem Statement:
Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km/h in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m/s^2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?
Given:
- Length of train A = 400 m
- Length of train B = 400 m
- Speed of both trains = 72 km/h
- Acceleration of train B = 1 m/s^2
- Time taken for the guard of B to brush past the driver of A = 50 s
Approach:
To solve this problem, we need to find the original distance between the two trains. We can use the equation of motion to calculate the distance traveled by train B in 50 seconds after accelerating.
Calculations:
1. Convert the speed of the trains from km/h to m/s:
Speed of both trains = 72 km/h = (72 * 1000) / 3600 m/s = 20 m/s
2. Calculate the distance traveled by train B in 50 seconds after accelerating:
Distance = Initial velocity * Time + 0.5 * Acceleration * Time^2
Distance = 20 m/s * 50 s + 0.5 * 1 m/s^2 * (50 s)^2
Distance = 1000 m + 0.5 * 1 m/s^2 * 2500 s^2
Distance = 1000 m + 0.5 * 1 m/s^2 * 2500 s^2
Distance = 1000 m + 1250 m
Distance = 2250 m
3. Calculate the original distance between the two trains:
Original distance = Distance traveled by train B + Length of train A
Original distance = 2250 m + 400 m
Original distance = 2650 m
Answer:
The original distance between the two trains was 2650 m.
Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km/h in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m/s^2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?
Given:
- Length of train A = 400 m
- Length of train B = 400 m
- Speed of both trains = 72 km/h
- Acceleration of train B = 1 m/s^2
- Time taken for the guard of B to brush past the driver of A = 50 s
Approach:
To solve this problem, we need to find the original distance between the two trains. We can use the equation of motion to calculate the distance traveled by train B in 50 seconds after accelerating.
Calculations:
1. Convert the speed of the trains from km/h to m/s:
Speed of both trains = 72 km/h = (72 * 1000) / 3600 m/s = 20 m/s
2. Calculate the distance traveled by train B in 50 seconds after accelerating:
Distance = Initial velocity * Time + 0.5 * Acceleration * Time^2
Distance = 20 m/s * 50 s + 0.5 * 1 m/s^2 * (50 s)^2
Distance = 1000 m + 0.5 * 1 m/s^2 * 2500 s^2
Distance = 1000 m + 0.5 * 1 m/s^2 * 2500 s^2
Distance = 1000 m + 1250 m
Distance = 2250 m
3. Calculate the original distance between the two trains:
Original distance = Distance traveled by train B + Length of train A
Original distance = 2250 m + 400 m
Original distance = 2650 m
Answer:
The original distance between the two trains was 2650 m.
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Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?
Question Description
Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?.
Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?.
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Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?, a detailed solution for Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them? has been provided alongside types of Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s-2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them? theory, EduRev gives you an
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