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A : A body moving with decreasing speed ...

A : A body moving with decreasing speed may have increasing acceleration.
R : The speed of body decreases, when acceleration of body is opposite to velocity.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).

C

If Assertion is true statement but Reason is false, then mark (3).

D

If both Assertion and Reason are false statement, then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze both the assertion (A) and the reason (R) provided. ### Step 1: Understand the Assertion (A) The assertion states: "A body moving with decreasing speed may have increasing acceleration." - **Analysis**: When a body is moving with decreasing speed, it means that its velocity is reducing over time. However, acceleration is defined as the rate of change of velocity. If the body is decelerating (speed is decreasing), it can still have an increasing acceleration in the sense that the magnitude of the deceleration (negative acceleration) is increasing. For example, if a car is slowing down more and more rapidly, it is experiencing an increasing deceleration. ### Step 2: Understand the Reason (R) The reason states: "The speed of the body decreases when the acceleration of the body is opposite to the velocity." - **Analysis**: This statement is true. When the acceleration vector points in the opposite direction to the velocity vector, it means that the body is experiencing a force that is slowing it down. For instance, if a car is moving forward (positive velocity) and the brakes are applied (negative acceleration), the speed of the car will decrease. ### Step 3: Conclusion Both the assertion and the reason are correct. The reason provided supports the assertion effectively. Therefore, we can conclude that: - **Assertion (A)** is correct. - **Reason (R)** is correct. - The reason explains the assertion correctly. ### Final Answer Both A and R are correct, and R explains A. ---
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