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Assertion : A body can have acceleration...

Assertion : A body can have acceleration even if its velocity is zero at a given instant of time.
Reason : A body is momentarily at rest when it reverses its direction of motion.

A

Both Assertion and Reason are correct, Reason is the coreect expianation of Assertion

B

Bioth Assertion and Reason are Correct but Reason is not the correct expalnation of Assertion

C

Assetion is correct and Reason is incorrect

D

Assertion is incorrect and Reason is correct

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the assertion and reason provided, let's break it down step by step. ### Step 1: Understanding the Assertion The assertion states that "A body can have acceleration even if its velocity is zero at a given instant of time." - **Explanation**: Acceleration is defined as the rate of change of velocity with respect to time. It is possible for an object to have a non-zero acceleration while its velocity is zero. A common example is when an object is thrown upwards. At the peak of its trajectory, the object's velocity is zero, but it is still under the influence of gravitational acceleration. ### Step 2: Understanding the Reason The reason states that "A body is momentarily at rest when it reverses its direction of motion." - **Explanation**: When an object reaches the highest point in its upward motion, it momentarily stops before it starts to fall back down. At this point, its velocity is indeed zero, but it is at rest only for an instant before it begins to accelerate downwards due to gravity. This momentary rest is when the direction of motion changes from upward to downward. ### Step 3: Conclusion Both the assertion and the reason are correct. The assertion correctly identifies that an object can have acceleration while its velocity is zero, and the reason correctly explains that this occurs when the object is momentarily at rest while reversing its direction of motion. ### Final Answer Thus, the correct answer to the question is: **A: Both assertion and reason are correct, and the reason is the correct explanation of the assertion.** ---
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Explore conceptually related problems

(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.

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.

Can a body have acceleration without having velocity?

STATEMENT - 1 : If the body is moving in the opposite direction of positive motion, then its speed is negative. STATEMENT - 2 : A scalar quantity is one that must be dimensionless. STATEMENT - 3 : A body is momentarily at rest when it reverse its direction of motion.

Assertion: If a body is momentarily at rest, it means that force or acceleration are necessarily zero at that instant. Reason: Force on a body at a given time is determined by the direction of motin only.

Assertion: A negative acceleration of a body can be associated with a 'speeding up' of the body. Reason: Increase in speed of a moving body is independent of its direction of motion.

Asserion : The acceleration of an object at a particular time is the slope of the velocity-time graph at that instant of time. Reason : For uniform motion acceleration is zero.

Assertion : A body can be at rest even when it is under the action of may number of external forces Reason : Because vector sum of the all external forces is zero .

(Assertion) :A body may be accelerated even when it is moving at uniform speed. (Reason) : When direction of motion of the body is changing then body may have acceleration.

Assertion : An object may have varying speed without having varying velocity. Reason : If the velocity is zero at an instant, the acceleration may not be zero at that instant.

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