If, Instead of the Correct Formula for Kinetic Energy, We $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

Multiple Choice

If, instead of the correct formula for kinetic energy, we carelessly use the classical expression for kinetic energy for a particle moving at half the speed of light, by what magnitude percent will our calculation be in error? $\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)$

A) $27 \%$
B) $7 \%$
C) $19 \%$
D) $24 \%$
E) $1 \%$