A bar magnet is held vertically. An object that is repelled by the magnet is to be dropped from directly above the magnet and will maintain a vertical trajectory. Let be the distance of the object above the magnet.
 

The object is subject to acceleration due to gravity, , and an acceleration due to the magnet , so that the total acceleration of the object is given by

The object is released from rest at  .

1. Show that  .   (2 marks)
   

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2. Find where the object next comes to rest, giving your answer correct to 1 decimal place.  (2 marks)
   

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