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v^{2}=(-13.0 \mathrm{~m} / \mathrm{s})^{2}+2\left(-9.80 \mathrm{~m} / \mathrm{s}^{2}\right)(-5.10 \mathrm{~m}-0 \mathrm{~m})=268.96 \mathrm{~m}^{2} / \mathrm{s}^{2},