A non-relativistic charged particle begins at rest, moves in a straight line, and then comes back to

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A non-relativistic charged particle begins at rest, moves in a straight line, and then comes back to rest. The total journey of distance d takes a time T to complete. 

(a) Find the total amount of energy radiated if the particle accelerates at a constant rate for half the journey and decelerates at a constant rate for half the journey.
(b) Find the acceleration function a(t) so the journey radiates the least amount of energy.

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