Class 11 Exam > Class 11 Questions > An aeroplane is flying with velocity 50√2 kil...
Start Learning for Free
An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours?
Most Upvoted Answer
An aeroplane is flying with velocity 50√2 kilometre per hour in north ...
**Resultant Displacement of the Aeroplane in 2 hours**
To find the resultant displacement of the aeroplane, we need to consider both the velocity of the plane and the wind speed.
Given data:
- Velocity of the plane = 50√2 km/h (north-east direction)
- Wind speed = 25 km/h (north to south)
To find the resultant displacement, we can break down the velocity of the plane into its components in the north and east directions.
Let's assume:
- Velocity of the plane in the north direction = V_n km/h
- Velocity of the plane in the east direction = V_e km/h
**Finding the Components of Plane's Velocity:**
Using trigonometry, we can find the values of V_n and V_e.
Given:
- Velocity of the plane = 50√2 km/h
- Angle between the velocity vector and the north direction = 45 degrees (since it is flying in the north-east direction)
Using the sine and cosine functions, we can find the components of the velocity:
- V_n = velocity of the plane * sin(angle)
= 50√2 * sin(45)
= 50 km/h
- V_e = velocity of the plane * cos(angle)
= 50√2 * cos(45)
= 50 km/h
So, the velocity of the plane can be broken down into V_n = 50 km/h (north) and V_e = 50 km/h (east).
**Effect of Wind on Plane's Velocity:**
The wind is blowing at a speed of 25 km/h from north to south. This means it will affect the plane's velocity in the north and east directions.
- In the north direction, the wind is blowing against the plane's velocity, so it will reduce the component of V_n by 25 km/h. Therefore, the new V_n component becomes V_n' = V_n - wind speed = 50 - 25 = 25 km/h (north).
- In the east direction, the wind is perpendicular to the plane's velocity, so it will not affect the component V_e. Therefore, the V_e component remains the same at 50 km/h (east).
**Calculating the Resultant Displacement:**
To find the resultant displacement, we need to calculate the total distance covered by the plane in 2 hours.
- Distance covered in the north direction = V_n' * time
= 25 km/h * 2 hours
= 50 km
- Distance covered in the east direction = V_e * time
= 50 km/h * 2 hours
= 100 km
Using the Pythagorean theorem, the resultant displacement can be calculated as:
Resultant displacement = √(Distance north)^2 + (Distance east)^2
= √(50 km)^2 + (100 km)^2
= √(2500 km^2 + 10000 km^2)
= √12500 km^2
= 111.8 km
Therefore, the resultant displacement of the aeroplane after 2 hours is approximately 111.8 km.
To find the resultant displacement of the aeroplane, we need to consider both the velocity of the plane and the wind speed.
Given data:
- Velocity of the plane = 50√2 km/h (north-east direction)
- Wind speed = 25 km/h (north to south)
To find the resultant displacement, we can break down the velocity of the plane into its components in the north and east directions.
Let's assume:
- Velocity of the plane in the north direction = V_n km/h
- Velocity of the plane in the east direction = V_e km/h
**Finding the Components of Plane's Velocity:**
Using trigonometry, we can find the values of V_n and V_e.
Given:
- Velocity of the plane = 50√2 km/h
- Angle between the velocity vector and the north direction = 45 degrees (since it is flying in the north-east direction)
Using the sine and cosine functions, we can find the components of the velocity:
- V_n = velocity of the plane * sin(angle)
= 50√2 * sin(45)
= 50 km/h
- V_e = velocity of the plane * cos(angle)
= 50√2 * cos(45)
= 50 km/h
So, the velocity of the plane can be broken down into V_n = 50 km/h (north) and V_e = 50 km/h (east).
**Effect of Wind on Plane's Velocity:**
The wind is blowing at a speed of 25 km/h from north to south. This means it will affect the plane's velocity in the north and east directions.
- In the north direction, the wind is blowing against the plane's velocity, so it will reduce the component of V_n by 25 km/h. Therefore, the new V_n component becomes V_n' = V_n - wind speed = 50 - 25 = 25 km/h (north).
- In the east direction, the wind is perpendicular to the plane's velocity, so it will not affect the component V_e. Therefore, the V_e component remains the same at 50 km/h (east).
**Calculating the Resultant Displacement:**
To find the resultant displacement, we need to calculate the total distance covered by the plane in 2 hours.
- Distance covered in the north direction = V_n' * time
= 25 km/h * 2 hours
= 50 km
- Distance covered in the east direction = V_e * time
= 50 km/h * 2 hours
= 100 km
Using the Pythagorean theorem, the resultant displacement can be calculated as:
Resultant displacement = √(Distance north)^2 + (Distance east)^2
= √(50 km)^2 + (100 km)^2
= √(2500 km^2 + 10000 km^2)
= √12500 km^2
= 111.8 km
Therefore, the resultant displacement of the aeroplane after 2 hours is approximately 111.8 km.
Community Answer
An aeroplane is flying with velocity 50√2 kilometre per hour in north ...
What is a sir
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours?
Question Description
An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours?.
An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours?.
Solutions for An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours? defined & explained in the simplest way possible. Besides giving the explanation of
An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours?, a detailed solution for An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours? has been provided alongside types of An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours? theory, EduRev gives you an
ample number of questions to practice An aeroplane is flying with velocity 50√2 kilometre per hour in north east direction .wind is blowing at 25 km per hour from north to south what is the resultant displacement of aeroplane in 2 hours? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup