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NEETPhysicsMotion in Two Dimensions

Assertion : In projectile motion if time of flight is 4 s. Then, maximum height will be (20 ~m . (g=10 ~m / s ^2 ) ) Reason : Maximum height (= g T 2 ).

Options

  1. AIf both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
  2. BIf both Assertion and Reason are true 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

C. If Assertion is true but Reason is false.

Step-by-step solution

Assertion and Reason Analysis - Assertion: The assertion states that if the time of flight ( (T )) is 4 s, the maximum height ( (H )) is 20 m. We can verify this using the relationship between maximum height and time of flight. The time to reach the maximum height is half the total time of flight, so (t_ ascent =T / 2= 4 / 2=2 ~s ). Using the equation for displacement under constant acceleration: (H=u t_ ascent + 1 2 a t_ ascent ^2 ) The initial vertical velocity component is (u_y=g t_ ascent =10 ~m / s ^2 2 ~s =20

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