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Assertion: If a particle is moving with constant velocity, then average velocity for any time interval is equal to instantaneous velocity. Reason: If average velocity of a particle moving on a straight line is zero for a given time interval, then instantaneous velocity at some instant within this interval may be zero.?
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Assertion: If a particle is moving with constant velocity, then averag...
Explanation:
Constant Velocity: When a particle moves with constant velocity, it covers equal distance in equal intervals of time. The velocity of the particle does not change with time.
Average Velocity: The average velocity of a particle is defined as the ratio of the total displacement of the particle to the total time taken. It is the displacement per unit time.
Instantaneous Velocity: The instantaneous velocity of a particle is defined as the velocity of the particle at a particular instant of time. It is the velocity of the particle at a particular point in time.
Relation between Average and Instantaneous Velocity:
- If a particle is moving with constant velocity, then the average velocity for any time interval is equal to the instantaneous velocity.
- The reason behind this is that since the velocity of the particle is constant, the particle covers equal distance in equal intervals of time. Hence, the displacement of the particle is proportional to the time taken.
- As a result, the average velocity of the particle over any time interval is equal to the instantaneous velocity of the particle at any point in that interval.
- Therefore, the assertion is true.
Relation between Average Velocity and Zero:
- If the average velocity of a particle moving on a straight line is zero for a given time interval, then the particle must have covered equal distances in equal intervals of time in opposite directions.
- In this case, the particle may have come to rest at some instant within this interval, and its instantaneous velocity at that instant would be zero.
- Therefore, the reason is also true.
Conclusion:
- Both the assertion and reason are true and are related to the constant velocity of a particle.
- The instantaneous velocity of a particle at any point in time is equal to the average velocity of the particle over any time interval, provided the particle is moving with constant velocity.
- If the average velocity of a particle is zero for a given time interval, then the particle may have come to rest at some instant within this interval, and its instantaneous velocity at that instant would be zero.
Constant Velocity: When a particle moves with constant velocity, it covers equal distance in equal intervals of time. The velocity of the particle does not change with time.
Average Velocity: The average velocity of a particle is defined as the ratio of the total displacement of the particle to the total time taken. It is the displacement per unit time.
Instantaneous Velocity: The instantaneous velocity of a particle is defined as the velocity of the particle at a particular instant of time. It is the velocity of the particle at a particular point in time.
Relation between Average and Instantaneous Velocity:
- If a particle is moving with constant velocity, then the average velocity for any time interval is equal to the instantaneous velocity.
- The reason behind this is that since the velocity of the particle is constant, the particle covers equal distance in equal intervals of time. Hence, the displacement of the particle is proportional to the time taken.
- As a result, the average velocity of the particle over any time interval is equal to the instantaneous velocity of the particle at any point in that interval.
- Therefore, the assertion is true.
Relation between Average Velocity and Zero:
- If the average velocity of a particle moving on a straight line is zero for a given time interval, then the particle must have covered equal distances in equal intervals of time in opposite directions.
- In this case, the particle may have come to rest at some instant within this interval, and its instantaneous velocity at that instant would be zero.
- Therefore, the reason is also true.
Conclusion:
- Both the assertion and reason are true and are related to the constant velocity of a particle.
- The instantaneous velocity of a particle at any point in time is equal to the average velocity of the particle over any time interval, provided the particle is moving with constant velocity.
- If the average velocity of a particle is zero for a given time interval, then the particle may have come to rest at some instant within this interval, and its instantaneous velocity at that instant would be zero.
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Assertion: If a particle is moving with constant velocity, then averag...
Both a and r are true and r is the correct explanation of a
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Assertion: If a particle is moving with constant velocity, then average velocity for any time interval is equal to instantaneous velocity. Reason: If average velocity of a particle moving on a straight line is zero for a given time interval, then instantaneous velocity at some instant within this interval may be zero.?
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Assertion: If a particle is moving with constant velocity, then average velocity for any time interval is equal to instantaneous velocity. Reason: If average velocity of a particle moving on a straight line is zero for a given time interval, then instantaneous velocity at some instant within this interval may be zero.? 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 Assertion: If a particle is moving with constant velocity, then average velocity for any time interval is equal to instantaneous velocity. Reason: If average velocity of a particle moving on a straight line is zero for a given time interval, then instantaneous velocity at some instant within this interval may be zero.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion: If a particle is moving with constant velocity, then average velocity for any time interval is equal to instantaneous velocity. Reason: If average velocity of a particle moving on a straight line is zero for a given time interval, then instantaneous velocity at some instant within this interval may be zero.?.
Assertion: If a particle is moving with constant velocity, then average velocity for any time interval is equal to instantaneous velocity. Reason: If average velocity of a particle moving on a straight line is zero for a given time interval, then instantaneous velocity at some instant within this interval may be zero.? 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 Assertion: If a particle is moving with constant velocity, then average velocity for any time interval is equal to instantaneous velocity. Reason: If average velocity of a particle moving on a straight line is zero for a given time interval, then instantaneous velocity at some instant within this interval may be zero.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion: If a particle is moving with constant velocity, then average velocity for any time interval is equal to instantaneous velocity. Reason: If average velocity of a particle moving on a straight line is zero for a given time interval, then instantaneous velocity at some instant within this interval may be zero.?.
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