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NEETPhysicsMotion in Two Dimensions

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): For an oblique projectile fired from the ground, the minimum speed during its flight is equal to the horizontal component of its initial velocity. Reason (R): The vertical component of velocity becomes zero at the highest point, while the horizontal component remains unchanged throughout the flight

Options

  1. ABoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  2. BBoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  3. CAssertion (A) is true but Reason (R) is false.
  4. DAssertion (A) is false but Reason (R) is true.

Correct answer

B. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

Step-by-step solution

The velocity of an oblique projectile at any instant is the vector sum of its horizontal and vertical components. The horizontal component of velocity remains constant throughout the flight because there is no horizontal acceleration. The vertical component of velocity decreases as the projectile ascends, becomes zero at the highest point, and then increases downwards. Since the total speed is v = v_x^2 + v_y^2 , it will be minimum when v_y = 0 . This happens at the highest point, where the speed is simply v_x , wh

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