To simulate car accidents, auto manufacturers study the collisions of moving cars with mounted springs of different spring constants. Consider a typical simulation with a car of mass \(1000\) kg moving with a speed \(18.0\) km/h on a smooth road and colliding with a horizontally mounted spring of spring constant \(6.25\times 10^3~{\mathrm{N/m}}\). The maximum compression in the spring is:
1. \(3\) m
2. \(0.2\) m
3. \(1\) m
4. \(2\) m

To simulate car accidents, auto manufacturers study the collisions of moving cars with mounted springs of different spring constants. Consider a typical simulation with a car of mass \(1000~\text{kg}\) moving with a speed of \(18~\text{km/h}\) on a rough road and colliding with a horizontally mounted spring of spring constant \(2.5\times 10^3~\text{N/m}\)$\mathrm{}$. If the coefficient of friction between road and tyre of the car, \(\mu\), to be \(0.375\). Maximum compression of the spring is:
1. \(3.5~\text{m}\)
2. \(2.0~\text{m}\)
3. \(1.5~\text{m}\)
4. \(2.5~\text{m}\)