Inspired by Aarsh Verdhan

A \(1 kg\) particle exists in a 1-dimensional coordinate system. At time \(t = 0\), the particle is at rest at \(x = 0 \, m\). It experiences a force (in Newtons) described by the following equation:

\[\large{F(x,t) = 3xt + 1}\]

At what time (in seconds) does the particle reach \(x = 4 \, m\)? Give your answer to 2 decimal places.

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