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The trajectory of an object is given by the equation:

$x(t)=(6\mathrm{.}31m)+(42\mathrm{.}7\frac{m}{s})t-(9\mathrm{.}89\frac{m}{s^2})t^2$

a$)$ For which time $t$ is the displacement $x(t)$ at its maximum?

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b$)$ What is this maximum value?

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