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Physics · JEE | MOTION IN A PLANE

हिन्दी

For an object moving in a plane with velocity components \( v_x \) and \( v_y \), the direction angle \( \theta \) of the velocity vector with the \( x\text{-axis} \) is given by:

  1. A
    \( \theta = \sin^{-1}(\frac{v_x}{v_y}) \)
  2. B
    \( \theta = \tan^{-1}(\frac{v_x}{v_y}) \)
  3. C
    \( \theta = \tan^{-1}(\frac{v_y}{v_x}) \)
  4. D
    \( \theta = \cos^{-1}(\frac{v_y}{v_x}) \)
View Answer & Solution

Correct answer · Option C

\( \theta = \tan^{-1}(\frac{v_y}{v_x}) \)

Explanation

From trigonometry of velocity components, \( \tan\theta = \frac{v_y}{v_x} \), hence \( \theta = \tan^{-1}(\frac{v_y}{v_x}) \).
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