A ball of mass \(2 \mathrm{~kg}\) is thrown from a tall building with velocity, \(\mathbf{v}=(20 \mathrm{~m} / \mathrm{s}) \hat{\mathbf{i}}+(24 \mathrm{~m} / \mathrm{s}) \hat{\mathbf{j}}\) at time \(t=0 \mathrm{~s}\). Change in the potential energy of the ball after, \(t=8 \mathrm{~s}\) is (The ball is assumed to be in air during its motion between \(0 \mathrm{~s}\) and \(8 \mathrm{~s}, \hat{\mathbf{i}}\) is along the horizontal and \(\hat{\mathbf{j}}\) is along the vertical direction (Take \(g=10 \mathrm{~m} / \mathrm{s}^2\) )

1. A \(-2.56 \mathrm{~kJ}\)
2. B \(0.52 \mathrm{~kJ}\)
3. C \(1.76 \mathrm{~kJ}\)
4. D \(-2.44 \mathrm{~kJ}\)