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It seems slow, close and quite big will the earth gravity catch it or not?
Will it be visible to the naked eye?
No. But it happens. Rocks get caught in Earth's orbit for a while then go on their way.
I have read that earth has already trapped some rocks that still circle us. Do you know the stats for them?
Look again at the units used. You are off by a factor of 1,000.
7m/s is very slow, and space very big