To find out how far a tectonic plate would move in \(2 \times 10^6\) years at a rate of \(0.006\) meters per year, you can use the formula:
\[ \text{Distance} = \text{Rate} \times \text{Time} \]
Substituting in the values:
\[ \text{Distance} = 0.006 , \text{meters/year} \times 2 \times 10^6 , \text{years} \]
Calculating this gives:
\[ \text{Distance} = 0.006 \times 2 \times 10^6 = 0.012 \times 10^6 = 12000 , \text{meters} \]
So, the tectonic plate would move 12,000 meters in \(2 \times 10^6\) years.