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Physics · MOTION IN A PLANE

हिन्दी

A particle is projected from the ground with a velocity \( u \) at an angle \( \theta \) with the horizontal. The magnitude of the change in velocity of the particle between the instant of projection and the instant it reaches maximum height is:

  1. \( u\cos\theta \)
  2. \( u \)
  3. \( 2u\sin\theta \)
  4. \( u\sin\theta \)

Correct answer · Option 4

\( u\sin\theta \)

Explanation

Initial velocity \( \mathbf{v}_i = u\cos\theta \hat{i} + u\sin\theta \hat{j} \). Velocity at top \( \mathbf{v}_f = u\cos\theta \hat{i} \). Change in velocity \( \Delta\mathbf{v} = \mathbf{v}_f - \mathbf{v}_i = -u\sin\theta \hat{j} \). Magnitude \( |\Delta\mathbf{v}| = u\sin\theta \).
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