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An aeroplane is flying vertically upwards. When it is at a height of 1000m above the ground and moving at a speed of 367 m/s., a shot is fired at it with a speed of 567 m/s from a point directly below it. What should be the acceleration of aeroplane so that it may escape from being hit ?
- a)>5 m/s2
- b)>10 m/s2
- c)<10 m/s2
- d)Not possible
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
An aeroplane is flying vertically upwards. When it is at a height of 1...
0 = (200)2 – 2(arel) (1000)
or arel = 20 m/s2
So to avoit the hit,
arel > 20 m/s2
or ap > 10 m/s2
Most Upvoted Answer
An aeroplane is flying vertically upwards. When it is at a height of 1...
Understanding the scenario:
The aeroplane is flying vertically upwards at a speed of 367 m/s and at a height of 1000m above the ground. A shot is fired from directly below the aeroplane with a speed of 567 m/s.
Analysis:
To calculate the acceleration required for the aeroplane to escape the shot, we need to consider the relative velocity of the shot with respect to the aeroplane. This relative velocity should be greater than the speed of the shot itself (567 m/s) for the aeroplane to escape being hit.
Calculating relative velocity:
Let the acceleration of the aeroplane be 'a'.
Relative velocity = (speed of aeroplane) + (speed of shot) = 367 + 567 = 934 m/s
Using the equation of motion:
Relative velocity = Initial velocity + (acceleration * time)
934 = 367 + (a * t)
Calculating time to escape:
t = (934 - 367) / a
t = 567 / a
Substituting height equation:
Height = Initial height + (initial velocity * t) + (0.5 * acceleration * t^2)
1000 = 0 + (367 * (567 / a)) + (0.5 * a * (567 / a)^2)
Solving for acceleration:
1000 = 367 * 567 / a + 0.5 * a * (567 / a)^2
1000 = 207639 / a + 0.5 * a * 567 / a
1000 = 207639 / a + 283.5
Solving this equation, we get a > 10 m/s^2, hence the correct answer is option 'B'.
The aeroplane is flying vertically upwards at a speed of 367 m/s and at a height of 1000m above the ground. A shot is fired from directly below the aeroplane with a speed of 567 m/s.
Analysis:
To calculate the acceleration required for the aeroplane to escape the shot, we need to consider the relative velocity of the shot with respect to the aeroplane. This relative velocity should be greater than the speed of the shot itself (567 m/s) for the aeroplane to escape being hit.
Calculating relative velocity:
Let the acceleration of the aeroplane be 'a'.
Relative velocity = (speed of aeroplane) + (speed of shot) = 367 + 567 = 934 m/s
Using the equation of motion:
Relative velocity = Initial velocity + (acceleration * time)
934 = 367 + (a * t)
Calculating time to escape:
t = (934 - 367) / a
t = 567 / a
Substituting height equation:
Height = Initial height + (initial velocity * t) + (0.5 * acceleration * t^2)
1000 = 0 + (367 * (567 / a)) + (0.5 * a * (567 / a)^2)
Solving for acceleration:
1000 = 367 * 567 / a + 0.5 * a * (567 / a)^2
1000 = 207639 / a + 0.5 * a * 567 / a
1000 = 207639 / a + 283.5
Solving this equation, we get a > 10 m/s^2, hence the correct answer is option 'B'.
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An aeroplane is flying vertically upwards. When it is at a height of 1000m above the ground and moving at a speed of 367 m/s., a shot is fired at it with a speed of 567 m/s from a point directly below it. What should be the acceleration of aeroplane so that it may escape from being hit ?a)>5 m/s2b)>10 m/s2c)<10 m/s2d)Not possibleCorrect answer is option 'B'. Can you explain this answer?
Question Description
An aeroplane is flying vertically upwards. When it is at a height of 1000m above the ground and moving at a speed of 367 m/s., a shot is fired at it with a speed of 567 m/s from a point directly below it. What should be the acceleration of aeroplane so that it may escape from being hit ?a)>5 m/s2b)>10 m/s2c)<10 m/s2d)Not possibleCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An aeroplane is flying vertically upwards. When it is at a height of 1000m above the ground and moving at a speed of 367 m/s., a shot is fired at it with a speed of 567 m/s from a point directly below it. What should be the acceleration of aeroplane so that it may escape from being hit ?a)>5 m/s2b)>10 m/s2c)<10 m/s2d)Not possibleCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane is flying vertically upwards. When it is at a height of 1000m above the ground and moving at a speed of 367 m/s., a shot is fired at it with a speed of 567 m/s from a point directly below it. What should be the acceleration of aeroplane so that it may escape from being hit ?a)>5 m/s2b)>10 m/s2c)<10 m/s2d)Not possibleCorrect answer is option 'B'. Can you explain this answer?.
An aeroplane is flying vertically upwards. When it is at a height of 1000m above the ground and moving at a speed of 367 m/s., a shot is fired at it with a speed of 567 m/s from a point directly below it. What should be the acceleration of aeroplane so that it may escape from being hit ?a)>5 m/s2b)>10 m/s2c)<10 m/s2d)Not possibleCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An aeroplane is flying vertically upwards. When it is at a height of 1000m above the ground and moving at a speed of 367 m/s., a shot is fired at it with a speed of 567 m/s from a point directly below it. What should be the acceleration of aeroplane so that it may escape from being hit ?a)>5 m/s2b)>10 m/s2c)<10 m/s2d)Not possibleCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane is flying vertically upwards. When it is at a height of 1000m above the ground and moving at a speed of 367 m/s., a shot is fired at it with a speed of 567 m/s from a point directly below it. What should be the acceleration of aeroplane so that it may escape from being hit ?a)>5 m/s2b)>10 m/s2c)<10 m/s2d)Not possibleCorrect answer is option 'B'. Can you explain this answer?.
Solutions for An aeroplane is flying vertically upwards. When it is at a height of 1000m above the ground and moving at a speed of 367 m/s., a shot is fired at it with a speed of 567 m/s from a point directly below it. What should be the acceleration of aeroplane so that it may escape from being hit ?a)>5 m/s2b)>10 m/s2c)<10 m/s2d)Not possibleCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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