A sample of approximately 250 Λp interactions has been obtained in the Λ-hyperon momentum range of about 300 to 500 MeV/c. An enhanced Λ-hyperon production rate was obtained by exposing an internally-mounted platinum target to the incident 1.5 GeV/c meson beam. Cross sections and angular distributions are obtained for the reactions: Λp → Λp, Λp → Σop and Λp → Λpπo. In the elastic channel, no strong evidence is seen near the Σop threshold for the presence of a 3S1 resonance, which has been reported, although there is some evidence for a small enhancement in this mass region. There is evidence for the presence of P-waves and probably also D-waves above about 800 MeV/c, but not below this momentum.