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A body is projected up with an initial velocity u m/s. It goes up to a height h metres in t seconds time. Then it comes back at the point of projection. Considering negligible air resistance, which of the following statement is true?
- a)the acceleration is zero
- b)the displacement is zero
- c)the average velocity is 2h/t
- d)the final velocity is 2u when body reaches projection point.
Correct answer is option 'B'. Can you explain this answer?
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A body is projected up with an initial velocity u m/s. It goes up to a...
Understanding the Motion of the Projected Body
When a body is projected upwards with an initial velocity \( u \), it experiences a series of movements until it returns to the original point of projection. Let's analyze the given statements to determine why option 'B' is correct.
Acceleration
- The acceleration of the body during its upward and downward journey is due to gravity, which acts downwards at approximately \( 9.81 \, \text{m/s}^2 \).
- Therefore, the acceleration is not zero; it is a constant negative value.
Displacement
- Displacement is defined as the change in position of an object. Since the body returns to its original point of projection, the total displacement is indeed zero.
- This is why option 'B' is correct: the displacement is zero.
Average Velocity
- Average velocity is calculated as total displacement divided by total time. Since the displacement is zero, the average velocity will also be zero, not \( \frac{2h}{t} \).
Final Velocity
- When the body reaches the point of projection, its final velocity is not \( 2u \). Instead, it will be equal to the initial velocity \( u \) but in the opposite direction.
Conclusion
- In summary, the correct statement regarding the projected body is that the displacement is zero when it returns to the starting point. Thus, option 'B' is the accurate choice.
When a body is projected upwards with an initial velocity \( u \), it experiences a series of movements until it returns to the original point of projection. Let's analyze the given statements to determine why option 'B' is correct.
Acceleration
- The acceleration of the body during its upward and downward journey is due to gravity, which acts downwards at approximately \( 9.81 \, \text{m/s}^2 \).
- Therefore, the acceleration is not zero; it is a constant negative value.
Displacement
- Displacement is defined as the change in position of an object. Since the body returns to its original point of projection, the total displacement is indeed zero.
- This is why option 'B' is correct: the displacement is zero.
Average Velocity
- Average velocity is calculated as total displacement divided by total time. Since the displacement is zero, the average velocity will also be zero, not \( \frac{2h}{t} \).
Final Velocity
- When the body reaches the point of projection, its final velocity is not \( 2u \). Instead, it will be equal to the initial velocity \( u \) but in the opposite direction.
Conclusion
- In summary, the correct statement regarding the projected body is that the displacement is zero when it returns to the starting point. Thus, option 'B' is the accurate choice.
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A body is projected up with an initial velocity u m/s. It goes up to a...
Because it comes back
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A body is projected up with an initial velocity u m/s. It goes up to a height h metres in t seconds time. Then it comes back at the point of projection. Considering negligible air resistance, which of the following statement is true?a)the acceleration is zerob)the displacement is zeroc)the average velocity is 2h/td)the final velocity is 2u when body reaches projection point.Correct answer is option 'B'. Can you explain this answer?
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A body is projected up with an initial velocity u m/s. It goes up to a height h metres in t seconds time. Then it comes back at the point of projection. Considering negligible air resistance, which of the following statement is true?a)the acceleration is zerob)the displacement is zeroc)the average velocity is 2h/td)the final velocity is 2u when body reaches projection point.Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body is projected up with an initial velocity u m/s. It goes up to a height h metres in t seconds time. Then it comes back at the point of projection. Considering negligible air resistance, which of the following statement is true?a)the acceleration is zerob)the displacement is zeroc)the average velocity is 2h/td)the final velocity is 2u when body reaches projection point.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is projected up with an initial velocity u m/s. It goes up to a height h metres in t seconds time. Then it comes back at the point of projection. Considering negligible air resistance, which of the following statement is true?a)the acceleration is zerob)the displacement is zeroc)the average velocity is 2h/td)the final velocity is 2u when body reaches projection point.Correct answer is option 'B'. Can you explain this answer?.
A body is projected up with an initial velocity u m/s. It goes up to a height h metres in t seconds time. Then it comes back at the point of projection. Considering negligible air resistance, which of the following statement is true?a)the acceleration is zerob)the displacement is zeroc)the average velocity is 2h/td)the final velocity is 2u when body reaches projection point.Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body is projected up with an initial velocity u m/s. It goes up to a height h metres in t seconds time. Then it comes back at the point of projection. Considering negligible air resistance, which of the following statement is true?a)the acceleration is zerob)the displacement is zeroc)the average velocity is 2h/td)the final velocity is 2u when body reaches projection point.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is projected up with an initial velocity u m/s. It goes up to a height h metres in t seconds time. Then it comes back at the point of projection. Considering negligible air resistance, which of the following statement is true?a)the acceleration is zerob)the displacement is zeroc)the average velocity is 2h/td)the final velocity is 2u when body reaches projection point.Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice A body is projected up with an initial velocity u m/s. It goes up to a height h metres in t seconds time. Then it comes back at the point of projection. Considering negligible air resistance, which of the following statement is true?a)the acceleration is zerob)the displacement is zeroc)the average velocity is 2h/td)the final velocity is 2u when body reaches projection point.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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