Given,

Initial velocity \(\overrightarrow{ V }_{\text {intital }}=\left(2_1^{\hat{1}}+6 \hat{ f }\right) m / s\)

Final velocity \(\vec{V}_{\text {final }}=(10 \hat{i}+6 \hat{j}) m / s\)

Change in momentum \(\triangle P\)

\(\Delta P =\text { Mass } \times\left(\overrightarrow{ V }_{\text {final }}-\overrightarrow{ V }_{\text {initial }}\right)\)

\(\Delta P =5 \times[(10 \hat{ i }+6 \hat{ j })-(2 \hat{1}+6 \hat{ j })]\)

\(\Delta P =40 \hat{ i } kg ms ^{-1}\)

Change in momentum \(40\,i\, kg m / s\)