A $103$ g wire is held under a tension of $16$ N with one end at $x=0$ and the other at $x=13\mathrm{.}2m.$ At time $t=0,$ pulse $1$ is sent along the wire from the end at $x=13\mathrm{.}2m.$ At time $t=37\mathrm{.}4ms,$ pulse $2$ is sent along the wire from the end at $x=0.$ At what position $x$ do the pulses begin to meet?

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