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A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.?
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A train travelling at 20km/h is approaching a platform. A bird sitting...
Calculation of Distance Flown by the Bird Before the Train Comes to Rest
- Initial conditions:
- Train speed = 20 km/h
- Bird speed = 60 km/h
- Distance between train and pole = 2 km
- Deceleration of the train = uniform
- Approach:
- First, calculate the time taken by the train to come to rest using the deceleration rate.
- Then, calculate the distance covered by the train during this time.
- The bird flies towards the train at 60km/h, touches the train, and flies back to the pole. This process continues until the train comes to rest.
- Calculations:
- Let the deceleration rate of the train be 'a' m/s^2.
- Convert train speed to m/s: 20 km/h = 20 * 1000 / 3600 m/s = 50/9 m/s
- Using the equation of motion: v^2 = u^2 + 2as, where v=0, u=50/9, s=?, a=deceleration
- Solving for 'a', we get a = -125/81 m/s^2
- Time taken for the train to come to rest: t = (0 - 50/9) / (-125/81) = 162/125 s
- Distance covered by the train: s = (50/9) * (162/125) + (1/2) * (-125/81) * (162/125)^2
- Final Answer:
- The distance flown by the bird before the train comes to rest is the sum of all distances covered by the bird in each round trip. This can be calculated by considering the distance between the bird and the train at each encounter and adding them up.
- Initial conditions:
- Train speed = 20 km/h
- Bird speed = 60 km/h
- Distance between train and pole = 2 km
- Deceleration of the train = uniform
- Approach:
- First, calculate the time taken by the train to come to rest using the deceleration rate.
- Then, calculate the distance covered by the train during this time.
- The bird flies towards the train at 60km/h, touches the train, and flies back to the pole. This process continues until the train comes to rest.
- Calculations:
- Let the deceleration rate of the train be 'a' m/s^2.
- Convert train speed to m/s: 20 km/h = 20 * 1000 / 3600 m/s = 50/9 m/s
- Using the equation of motion: v^2 = u^2 + 2as, where v=0, u=50/9, s=?, a=deceleration
- Solving for 'a', we get a = -125/81 m/s^2
- Time taken for the train to come to rest: t = (0 - 50/9) / (-125/81) = 162/125 s
- Distance covered by the train: s = (50/9) * (162/125) + (1/2) * (-125/81) * (162/125)^2
- Final Answer:
- The distance flown by the bird before the train comes to rest is the sum of all distances covered by the bird in each round trip. This can be calculated by considering the distance between the bird and the train at each encounter and adding them up.
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A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.?
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A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.?.
A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.?.
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A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.?, a detailed solution for A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.? has been provided alongside types of A train travelling at 20km/h is approaching a platform. A bird sitting on a pole on the platform. When the train is at a distance of 2km from the pole, brakes are applied which produces a uniform deceleration in it. At that instant the bird flies towards the train at 60km/h and after touching the nearest point on the train flies back to the pole and then flies towards the train and continues repeating itself. Calculate the distance the bird will have flown before train comes to rest.? theory, EduRev gives you an
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