Benzyl bromide $\left(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{2} \mathrm{Br}\right)$ reacts rapidly with $\mathrm{CH}_{3} \mathrm{OH}$ to afford benzyl methyl ether $\left(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}_{2} \mathrm{OCH}_{3}\right)$. Draw a stepwise mechanism for the reaction, and explain why this $1^{\circ}$ alkyl halide reacts rapidly with a weak nucleophile under conditions that favor an $\mathrm{S}_{\mathrm{N}} 1$ mechanism. Would you expect the para-substituted benzylic halides $\mathrm{CH}_{3} \mathrm{OC}_{6} \mathrm{H}_{4} \mathrm{CH}_{2} \mathrm{Br}$ and $\mathrm{O}_{2} \mathrm{NC}_{6} \mathrm{H}_{4} \mathrm{CH}_{2} \mathrm{Br}$ to each
be more or less reactive than benzyl bromide in this reaction? Explain your reasoning.