A particle, initially at rest, moves along the -axis so that its acceleration at any time is given by . The position of the particle when is .
(a) Find the values of for which the particle is at rest.
(b) Write an expression for the position of the particle at any time .
(c) Find the total distance traveled by the particle from to .
(b) Write an expression for the position of the particle at any time .
(c) Find the total distance traveled by the particle from to .
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