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Assertion (A): The acceleration of a bod...

Assertion (A): The acceleration of a body moving with constant velocity is zero.
Reason ( R): Acceleration is the rate of change in velocity.

A

Both A and R are true and R is the correct explanation of A.

B

Both A and R are true, but is not the correct explanation of A.

C

A is true but R is false.

D

Both A and R are false.

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) Assertion (A) states that "The acceleration of a body moving with constant velocity is zero." - **Explanation**: When a body is moving with constant velocity, it means that its speed and direction are not changing. Since acceleration is defined as the change in velocity over time, if there is no change in velocity, the acceleration must be zero. ### Step 2: Understand the Reason (R) Reason (R) states that "Acceleration is the rate of change in velocity." - **Explanation**: This statement is true. Acceleration is mathematically defined as the change in velocity (Δv) divided by the change in time (Δt). If there is no change in velocity, then the acceleration is zero. ### Step 3: Analyze the Relationship between A and R Now we need to determine if R is a correct explanation of A. - Since A states that acceleration is zero when velocity is constant, and R correctly defines acceleration as the rate of change in velocity, we can conclude that R explains why A is true. ### Conclusion Both the assertion (A) and the reason (R) are true, and R is the correct explanation of A. ### Final Answer Both A and R are true, and R is the correct explanation of A. ---

To solve the given question, we need to analyze both the assertion (A) and the reason (R) provided. ### Step 1: Understand the Assertion (A) Assertion (A) states that "The acceleration of a body moving with constant velocity is zero." - **Explanation**: When a body is moving with constant velocity, it means that its speed and direction are not changing. Since acceleration is defined as the change in velocity over time, if there is no change in velocity, the acceleration must be zero. ### Step 2: Understand the Reason (R) ...
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Knowledge Check

  • Assertion: A body having non zero acceleration can have a constant velocity. Reason: Acceleration is the rate of change of velocity.

    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
    C
    If assertion is true but reason is false.
    D
    If assersion is false but reason is true.
  • Assertion: In a uniformly accelerated motion, acceleration the graph is straight line with positive slope. Reason: Acceleration is rate of change of velocity.

    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
    C
    If assertion is true but reason is false.
    D
    If assersion is false but reason is true.
  • Assertion: Acceleration and displacement are in the opposite direction during retardation. Reason : Acceleration is given as the change in velocity per unit time.

    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
    C
    If assertion is true but reason is false.
    D
    If assertion is false but reason is true.
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