Velocity, Acceleration as a Function of x - Questions

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Question 1
19867

The velocity of a particle \(P\) moving in a straight line is given by \({\rm{v}} = \frac{1}{2}\left( {{x^2} + 4} \right){\rm{ m}}{{\rm{s}}^{ - 1}}\) where \(x\) metres is the displacement of \(P\) from a fixed point \(O\) after \(t\) seconds. Initially the particle is at \(O\). The time taken for the particle to travel 2 metres from \(O\) is?

\(\dfrac{\pi }{4}\) seconds

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