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Mathematics, 19.07.2019 17:30 Osmin

Aparticle moves along the x-axis with velocity given by v(t) = 10 sin(0.4t^2)/(t^2 - t + 3) for time 0 ≤ t ≤ 3.5. the particle is a position x = -5 at time t = 0. (a) find the acceleration of the particle at time t = 3. (b) find the position of the particle at time t = 3. (c) evaluate \int_{0}^{3.5} v(t) \; dt and \int_{0}^{3.5} |v(t)| \; dt. nterpret the meaning of each integral in the context of the problem. (d) a second particle moves along the x-axis with position given by x₂(t) = t^2 - t for 0 ≤ t ≤ 3.5. at what time t are the two particles moving with the same velocity?

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Aparticle moves along the x-axis with velocity given by v(t) = 10 sin(0.4t^2)/(t^2 - t + 3) for time...
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