Two particles move along the -axis.

When  , particle is at the origin and moving with velocity 3.

For  , particle has acceleration given by  .

1. Show that the velocity of particle is given by    (2 marks)
   

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When  , particle is also at the origin.

For  , particle has velocity given by  .

2. When do the two particles have the same velocity?  (2 marks)
   

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3. Show that the two particles do not meet for  .  (3 marks)
   

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