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A mass of 500 g is placed on a vertical spring and the spring stretches by...

A mass of 500 g is placed on a vertical spring and the spring stretches by
        18.0 cm. It is then pulled down an additional 10.0 cm and released. Find the:         

  1. spring constant.
  2. periodic time                                                                         
  3. frequency.                                                                                           
  4. maximum velocity of the mass.                                                       
  5. maximum restoring force.                                                             
  6. speed when the displacement is 10 cm from equilibrium.         
  7. equation of the displacement and acceleration as a function of time.   
  8. velocity after 2.0 s.  
  9. Acceleration after 3.0 s.                                                                           
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