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The vertical motion of a ship at sea is ...

The vertical motion of a ship at sea is described by the equation `(d^(x))/(dt^(2))=-4x` , where x is the vertical height of the ship (in meter) above its mean position. If it oscillates through a height of 1 m then find the maximum velocity and acceleration

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`"["2" m/s",-4" m/s"^(2)"]"`
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ALLEN -RACE-Basic Maths (Dscillations) (Kinematics of SHM)
  1. Two particles executing SHM of same frequency meet at x=+(sqrt(3)A)/(2...

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  2. A particle is executing SHM with time period T Starting from mean posi...

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  3. A particle executes simple harmonic motion according to equation 4(d^(...

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  4. The plot of velocity (v) versus displacement (x) of a particle executi...

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  5. Figure shows the position-time graph of an abject in SHM. The correct ...

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  6. A particle executes SHM according to equation x=10(cm)cos[2pit+(pi)/(2...

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  7. A particle of mass m in a unidirectional potential field have potentia...

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  8. A particle executing S.H.M. has angular frequency 6.28 s^(-1) and ampl...

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  9. A body makes angular simple harmonic motion of amplitude pi//10rad and...

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  10. The vertical motion of a ship at sea is described by the equation (d^(...

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  11. The equation of motion of a partivel of mass 1g is (d^(2)x)/(dt^(2)) +...

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  12. The time taken by a particle performing SHM to pass from point A and B...

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  13. The phase difference between two SHM y(1) = 10 sin (10 pi t + (pi)/(3)...

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  14. A small mass executes linear S.H.M. executes linear S.H.M. about O wit...

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  15. Two SHM are represcnted by equations y(1)=6cos(6pit+(pi)/(6)),y(2)=3(s...

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  16. The phase difference between the displacement and acceleration of a pa...

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  17. The acceleration of a particle moving along x-axis is a=-100x+50. It i...

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  18. The acceleration of a certain simple harmonic oscillator is given by ...

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  19. A particle executes simple harmonic motion with a period of 16s. At ti...

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  20. Two particle P and Q describe S.H.M. of same amplitude a same frequenc...

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