2. A particle \(P\) moves along the \(x\)-axis such that its displacement, \(x\) metres, from the origin \(O\) at time \(t\) seconds is given by
$$x = 2 + t - \frac { 1 } { 10 } \mathrm { e } ^ { t }$$
- Find the distance of \(P\) from \(O\) when \(t = 0\).
- Find, correct to 1 decimal place, the value of \(t\) when the velocity of \(P\) is zero.
(4 marks)