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TS EAMCET · Physics · Work Power Energy

A cyclist is riding with a speed of \(36 \mathrm{~km} / \mathrm{h}\). As he approaches a circular turn on the road of radius \(50 \mathrm{~m}\), he applies brakes and reduces his speed at the constant rate of \(0.5 \mathrm{~m} / \mathrm{s}\) every second. The magnitude and direction of the net acceleration of the cyclist on the circular turn respectively are

  1. A \(\frac{\sqrt{3}}{2} \mathrm{~m} / \mathrm{s}^2, \tan ^{-1}(4)\)
  2. B \(\frac{\sqrt{3}}{2} \mathrm{~m} / \mathrm{s}^2, \tan ^{-1}\left(\frac{1}{4}\right)\)
  3. C \(\sqrt{17} \mathrm{~m} / \mathrm{s}^2, \tan ^{-1}\left(\frac{1}{4}\right)\)
  4. D \(\frac{\sqrt{17}}{2} \mathrm{~m} / \mathrm{s}^2, \tan ^{-1}(4)\)
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(D) \(\frac{\sqrt{17}}{2} \mathrm{~m} / \mathrm{s}^2, \tan ^{-1}(4)\)

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