The vertical motion of a ship at sea is described by the equation d^ 2 x d x^ 2 =-4 x …

Physics · JEE Advanced · NTA ExamsOscillations and Waves

The vertical motion of a ship at sea is described by the equation \(\frac{d^{2} x}{d x^{2}}=-4 x\), where x is the vertical height of the ship (in metre) above its mean position. If it oscillates up to a height of 1 m from its mean position.
  1. its maximum vertical speed will be 1 m/s
  2. its maximum vertical speed will be 2 m/s
  3. its greatest vertical acceleration is 2 m/s2
  4. its greatest vertical acceleration is 1 m/s2

Answer

(B) its maximum vertical speed will be 2 m/s

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