A particle of mass \(m=650 \mathrm{~g}\), initially stationary, is subjected to the action of a constant force \(\mathbf{F}_{1}=34 \hat{\mathbf{i}} \mathrm{N}\). After a time \(t_{1}=1.5 \mathrm{~s}\) the action of \(\mathbf{F}_{1}\) ceases and it is observed that the particle slows down uniformly, stopping at time \(t_{2}=8.5 \mathrm{~s}\). Calculate the force \(\mathbf{F}_{2}\) acting during braking and the total space traveled by the particle.