An impulse I changes a particle velocity from v₁ to v₂. The kinetic energy gained by the particle is:

Options

• Option A

  $\frac12\overrightarrow{I.}\left(\overrightarrow{v}_1+\overrightarrow{v}_2\right)$

• Option B

  $\frac12\overrightarrow{I.}\left(\overrightarrow{v}_1-\overrightarrow{v}_2\right)$

• Option C

  $\overrightarrow{I.}\left(\overrightarrow{v}_1-\overrightarrow{v}_2\right)$

• Option D

  $\overrightarrow{I.}\left(\overrightarrow{v}_1+\overrightarrow{v}_2\right)$