2. A particle \(P\) of mass 0.4 kg is moving in a straight line through a fixed point \(O\).
At time \(t\) seconds after it passes through \(O\), the distance \(O P\) is \(x\) metres and the resultant force acting on \(P\) is of magnitude ( \(5 + 4 \mathrm { e } ^ { - x }\) ) N in the direction \(O P\).
When \(x = 1 , P\) is at the point \(A\).
- Find, correct to 3 significant figures, the work done in moving \(P\) from \(O\) to \(A\).
Given that \(P\) passes through \(O\) with speed \(2 \mathrm {~ms} ^ { - 1 }\),
- find, correct to 3 significant figures, the speed of \(P\) as it passes through \(A\).