A particle is moving in a plane with velocity given by: v = i (u_ n )+ j ( am t) if the…

Physics · NEET · NTA ExamsKinematics

A particle is moving in a plane with velocity given by:

\(\vec{v}=\hat{i}\left(u_{n}\right)+\hat{j}(\mathrm{am} \cos \omega t)\)

if the particle is at the origin at t = 0:

Then, distance of the particle after \(t=\frac{3 \pi}{2 \omega}\) from the origin is

  1. \(\sqrt{\left(\frac{u_{a} \pi}{\omega}\right)^{2}+a^{2}}\)
  2. \(\sqrt{\left(\frac{u_{0} 3 \pi}{\omega}\right)^{2}+\frac{a^{2}}{4}}\)
  3. \(\sqrt{\left(\frac{u_{n} 3 \pi}{2 \omega}\right)^{2}+a^{2}}\)
  4. None of these

Answer

(A) ( u_ a )^ 2 +a^ 2

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