*12-116. A car moves along a circular track of radius 250

Chapter 12, Problem 12-116

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A car moves along a circular track of radius \(250 \mathrm{ft}\) such that its speed for a short period of time \(0 \leq t \leq 4 \mathrm{~s}\), is \(v=3\left(t+t^2\right) \mathrm{ft} / \mathrm{s}\), where t is in seconds. Determine the magnitude of its acceleration when \(t=3 \mathrm{~s}\). How far has it traveled in \(t=3 \mathrm{~s}\)?

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