A train approaches a small town with a constant velocity of \( +28.6 \mathrm{~m} / \mathrm{s} \)...

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A train approaches a small town with a constant velocity of \( +28.6 \mathrm{~m} / \mathrm{s} \). The operator applies the brake, reducing the train's velocity to \( +11.4 \mathrm{~m} / \mathrm{s} \). If the average acceleration of the train during braking is \( -1.35 \mathrm{~m} / \mathrm{s}^{2} \), for what elapsed time does the operator apply the brake?
(A) \( 8.44 \mathrm{~s} \)
(B) \( 3.38 \mathrm{~s} \)
(C) \( 12.7 \mathrm{~s} \)
(D) \( 5.92 \mathrm{~s} \)
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