A \( 2.0 \text{ kg} \) particle with initial velocity \( 5 \hat{x} – 4\hat{y} \text{ m/s} \) now has a velocity of \( 7\hat{x} + 3\hat{y} \text{ m/s.} \) Assuming that no energy was lost in the process, how much work was done by the resultant force during the time interval?

\( \hat{ x } \text{ and } \hat{ y} \) are unit vectors along x and y directions in a \(2\)-dimensional plane.

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