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The question given below consist of an ...

The question given below consist of an assertion and the reason . Use the following key to choose appropriate answer:
Assertion : At the highest point velocity of the projectile is zero
Reason : At the highest point of trajectory acceleration of the particle becomes zero for an instant .

A

If both assertion and reason are correct and reason is a correct explanation of the assertion

B

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

C

If assertion is correct but reason is incorrect .
(d) If assertion is incorrect but reason is correct .

D

If both assertion and reason are incorrect .

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: Analyze the Assertion The assertion states: "At the highest point, the velocity of the projectile is zero." - In projectile motion, when a projectile reaches its highest point, the vertical component of its velocity becomes zero. However, the horizontal component of the velocity remains constant throughout the motion (assuming no air resistance). - Therefore, the total velocity of the projectile at the highest point is not zero; it only has a horizontal component. **Conclusion for Assertion**: The assertion is **incorrect**. ### Step 2: Analyze the Reason The reason states: "At the highest point of the trajectory, the acceleration of the particle becomes zero for an instant." - In projectile motion, the only force acting on the projectile is gravity, which acts downwards. This means that the acceleration due to gravity is always present and is equal to approximately \(9.81 \, \text{m/s}^2\) downwards. - At the highest point, while the vertical component of the velocity is zero, the acceleration due to gravity is still acting on the projectile. Therefore, the acceleration does not become zero at any point during the motion. **Conclusion for Reason**: The reason is also **incorrect**. ### Final Conclusion Both the assertion and the reason are incorrect. Therefore, the correct answer is option D: Both assertion and reason are incorrect. ---
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