The \(x,y\) components of the velocity of a particle moving in a plane are shown in the graphs.

The maximum velocity of the particle has the magnitude:
1. \(35~\text{m/s}\)
2. \(20\sqrt{3}~\text{m/s}\)
3. \(50~\text{m/s}\)
4. \(70~\text{m/s}\)
A body started moving with an initial velocity of \(4 ~\text{m/s}\) along the east and an acceleration of \(1~\text{m/s}^2\) along the north. The velocity of the body just after \(4 ~\text{s}\) is:
1. \(8~\text{m/s}\) along east
2. \(4\sqrt{2} ~\text{m/s}\) along north-east
3. \(8~\text{m/s}\) along north
4. \(4\sqrt{2} ~\text{m/s}\) along south-east