# A force of different kind

**Classical Mechanics**Level 4

A body of mass \(m\) is kept on a smooth horizontal surface at \(x=0\)

A force \(F = x+\sin{t}\) starts acting on the body at \(t=0\).

Find the \(x\)-coordinate of body at \(t=5\) up to 3 decimal places

**Details and Assumptions**

\(m = 1\text{ kg} \).

At \(t=0\) velocity of block is \(0.5\text{ m/s}\) towards negative \(x\)-axis.