An object sliding on a solid surface experiences a frictional force that is constant and in the opposite direction to the velocity if the particle is moving, and is zero it is not moving. Find the position of the particle as a function of time if it moves only in the x direction and the initial position is x(0) = 0 and the initial velocity is v_x (0) = v₀ = constant. Proceed as though the constant force were present at all times and then cut the solution off at the point at which the velocity vanishes. That is, just say that the particle is fixed after this time. Construct a graph of x as a function of time for the case that v₀ = 10.00 m s⁻¹.