The acceleration of a particular car during braking has magnitude (b t), where (t) is the time

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The acceleration of a particular car during braking has magnitude \(b t\), where \(t\) is the time in seconds from the instant the car begins braking, and \(b=2.0 \mathrm{~m} / \mathrm{s}^{3}\). If the car has an initial speed of \(50 \mathrm{~m} / \mathrm{s}\), how far does it travel before it stops?

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