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Statement I: A body can have acceleratio...

Statement I: A body can have acceleration even if its velcity is zero at a given instant .
Statement II: A body is momentarily at rest when it reverses its direction of velocity.

A

Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I.

B

Statemnt I is true, Statement II is true, Statement II is true, Statement II is false.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, we will break down each statement and provide a step-by-step explanation. ### Step-by-Step Solution: 1. **Understanding Statement I**: - Statement I claims that a body can have acceleration even if its velocity is zero at a given instant. - **Explanation**: Acceleration is defined as the rate of change of velocity. A body can be at rest (velocity = 0) and still experience acceleration. For example, if a car is at a stoplight and suddenly accelerates, its velocity is zero at that instant, but it is still experiencing acceleration as it begins to move. 2. **Understanding Statement II**: - Statement II states that a body is momentarily at rest when it reverses its direction of velocity. - **Explanation**: When an object changes direction, it must first come to a stop (momentarily at rest) before it can start moving in the opposite direction. For instance, if a ball is thrown upwards, it will eventually stop at its highest point (momentarily at rest) before it starts to fall back down. 3. **Combining Both Statements**: - Both statements can be true simultaneously. The first statement indicates that an object can have acceleration while at rest, and the second statement describes a scenario where an object is momentarily at rest while reversing its direction. - **Conclusion**: Both statements are correct, and Statement II provides an example of the situation described in Statement I. 4. **Final Answer**: - Since both statements are correct, the correct option is (a) Both Statement I and Statement II are correct.

To analyze the statements provided in the question, we will break down each statement and provide a step-by-step explanation. ### Step-by-Step Solution: 1. **Understanding Statement I**: - Statement I claims that a body can have acceleration even if its velocity is zero at a given instant. - **Explanation**: Acceleration is defined as the rate of change of velocity. A body can be at rest (velocity = 0) and still experience acceleration. For example, if a car is at a stoplight and suddenly accelerates, its velocity is zero at that instant, but it is still experiencing acceleration as it begins to move. ...
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(A) : A body can have acceleration even if its velocity is zero at a given instant of time. (r) : A body is momentarily at rest when it reverses its direction of motion.

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