A car moves with a constant tangential acceleration \(w_{\tau}\) \(=0.62 \mathrm{~m} / \mathrm{s}^{2}\) along a horizontal surface circumscribing a circle of radius \(R=40 \mathrm{~m} .\) The coefficient of sliding friction between the wheels of the car and the surface is \(k=0.20 .\) What distance will the car ride without sliding if at the initial moment of time its velocity is equal to zero?