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A particle is moving along positive X di...

A particle is moving along positive X direction and is retarding uniformly. The particle crosses the origin at time `t = 0` and crosses the point `x = 4.0 m` at `t = 2 s`.
(a) Find the maximum speed that the particle can possess at `x = 0`.
(b) Find the maximum value of retardation that the particle can have.

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