Determine the ratio of an electron's total energy to rest energy when moving at the following speeds: (a) 300 $\mathrm{m} / \mathrm{s}$ , (b) $3.0 \times 10^{8} \mathrm{m} / \mathrm{s},$ (c) $3.0 \times 10^{7} \mathrm{m} / \mathrm{s},$ (d) $1.0 \times 10^{8} \mathrm{m} / \mathrm{s}$ (e) $2.0 \times 10^{8} \mathrm{m} / \mathrm{s},$ and ( $\mathrm{f} ) 2.9 \times 10^{8} \mathrm{m} / \mathrm{s} .$