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NEETPhysicsMotion in One Dimension

Assertion : If acceleration of a particle moving in a straight line varies as (a t^n ), then (s t^ n+2 ) Reason : If (a-t ) graph is a straight line, then (s-t ) graph may be a parabola.

Options

  1. AIf both Assertion and Reason are correct and Reason is the correct explanation of Assertion
  2. BIf both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
  3. CIf Assertion is true but Reason is false
  4. DIf Assertion is false but Reason is true

Correct answer

B. If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion

Step-by-step solution

Assertion is correct: A particle moving in a straight line may have zero velocity at some instant but non-zero acceleration. (Example: a ball thrown upwards at its peak, ( v =0, a = g )). Reason is correct: Acceleration is the rate of change of velocity. If velocity is changing its direction or magnitude, even if it momentarily becomes zero, acceleration can still be non-zero as it represents the tendency to change velocity. The reason correctly explains the assertion by defining acceleration as the rate of change

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