A motorcycle starts from rest with an initial acceleration of \(3 \mathrm{~m} / \mathrm{s}^{2}\), and the acceleration then changes with distance \(s\) as shown. Determine the velocity \(v\) of the motorcycle when \(s=200 \mathrm{~m}\). At this point also determine the value of the derivative \(\frac{d v}{d s}\).

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a, m/s 2 6 0 0 100 8, m 200