When it comes to the us becoming a imperial power, their main goal was economic expansion. now their ideals were good but since they started being an imperial power the economy has gone rather worse. so to answer your question their goals were good not have not been achieved.
Answer: Britain had access to cotton from its colonies and could use slaves to collect it. As technology improved, cotton picking became easier and was a booming industry. Coal, iron, lead, copper, tin, limestone, and water power were also readily available for the British to use for their industrial advancement.
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Jamestown is located in Virginia. hope that helps :D