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Assertion : The average speed of an obje...

Assertion : The average speed of an object is greater than or equal to the magnitude of the average velocity over a given time interval.
Reason : The two are equal only if the path length is equal to the magnitude of displacement.

A

If both assertion and reason are trure and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanations of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason is false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason, we will analyze both statements step by step. ### Step 1: Understanding Average Speed and Average Velocity - **Average Speed** is defined as the total distance traveled divided by the total time taken. It is a scalar quantity and does not have a direction. - **Average Velocity** is defined as the total displacement (change in position) divided by the total time taken. It is a vector quantity and has a direction. ### Step 2: Analyzing the Assertion - The assertion states that "the average speed of an object is greater than or equal to the magnitude of the average velocity over a given time interval." - This is true because: - Average speed considers the total distance traveled, which can be greater than or equal to the straight-line distance (displacement) between two points. - Therefore, the average speed will always be greater than or equal to the average velocity. ### Step 3: Analyzing the Reason - The reason states that "the two are equal only if the path length is equal to the magnitude of the displacement." - This is also true because: - If the object moves in a straight line without changing direction, the distance traveled (path length) will equal the displacement. - In this case, average speed and average velocity will be equal. ### Step 4: Conclusion - Both the assertion and the reason are correct. The reason provides a valid explanation for the assertion. ### Final Answer - **Assertion**: True - **Reason**: True - The reason is a correct explanation of the assertion. ---
To solve the question regarding the assertion and reason, we will analyze both statements step by step. ### Step 1: Understanding Average Speed and Average Velocity - **Average Speed** is defined as the total distance traveled divided by the total time taken. It is a scalar quantity and does not have a direction. - **Average Velocity** is defined as the total displacement (change in position) divided by the total time taken. It is a vector quantity and has a direction. ### Step 2: Analyzing the Assertion - The assertion states that "the average speed of an object is greater than or equal to the magnitude of the average velocity over a given time interval." ...
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