To find the rate of movement in centimeters per year, we need to first convert the distance from meters to centimeters, and then divide it by the number of years.
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Convert the distance from meters to centimeters: \[ 200 \text{ m} = 200 \times 100 \text{ cm} = 20,000 \text{ cm} \]
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Now, divide the distance by the time in years: \[ \text{Rate} = \frac{20,000 \text{ cm}}{10,000 \text{ years}} = 2 \text{ cm/year} \]
Thus, the rate is 2 cm/year.