The study reports on the measurement of the average lifetime of bottom (b) hadrons using the impact parameters of electrons produced in hadronic events at the PEP+e- storage ring. The electrons are primarily from bottom and charm decays, and their impact parameters reveal that b hadrons have a lifetime of 1.16±0.37(stat) ± 0.23(sys) psec. This result is used to constrain elements of the Kobayashi-Maskawa mixing matrix, specifically the matrix elements \( |V_{bu}| \) and \( |V_{bc}| \). The analysis employs the impact parameter method, which uses prompt electrons from semileptonic decays of charm and bottom hadrons. The data set includes electrons with momenta as low as 1 GeV/c, reducing background contamination. The impact parameter is derived from the distance of closest approach of the electron to the center of the \( e^+ e^- \) beams, and the thrust axis of the event is used to approximate the parent hadron direction. The average impact parameter depends on the momentum and transverse momentum of the electron. The study also includes experimental cross-checks and Monte Carlo simulations to validate the results. The measured lifetime is consistent with previous measurements, and the systematic errors are estimated to be 20%. The bottom hadron lifetime is related to the mixing matrix elements \( V_{bu} \) and \( V_{bc} \), and the constraints on these elements are provided.The study reports on the measurement of the average lifetime of bottom (b) hadrons using the impact parameters of electrons produced in hadronic events at the PEP+e- storage ring. The electrons are primarily from bottom and charm decays, and their impact parameters reveal that b hadrons have a lifetime of 1.16±0.37(stat) ± 0.23(sys) psec. This result is used to constrain elements of the Kobayashi-Maskawa mixing matrix, specifically the matrix elements \( |V_{bu}| \) and \( |V_{bc}| \). The analysis employs the impact parameter method, which uses prompt electrons from semileptonic decays of charm and bottom hadrons. The data set includes electrons with momenta as low as 1 GeV/c, reducing background contamination. The impact parameter is derived from the distance of closest approach of the electron to the center of the \( e^+ e^- \) beams, and the thrust axis of the event is used to approximate the parent hadron direction. The average impact parameter depends on the momentum and transverse momentum of the electron. The study also includes experimental cross-checks and Monte Carlo simulations to validate the results. The measured lifetime is consistent with previous measurements, and the systematic errors are estimated to be 20%. The bottom hadron lifetime is related to the mixing matrix elements \( V_{bu} \) and \( V_{bc} \), and the constraints on these elements are provided.