The rationale of Terry was extended to the passenger compartments of stopped vehicles in Michigan v. Long. There, the court held that once you have made a lawful vehicle stop and have a reasonable suspicion that a weapon may be concealed in the vehicle, you may make a cursory search of the compartments and containers in the passenger compartment that could conceal a weapon, seizing any evidence or contraband that comes into your view in the process. Again, not every vehicle stop justifies this additional intrusion, which must be supported by suspicion pointing to the possible presence of a weapon.
Officer Safety/Public Safety Entry
As you know, warrantless entry into the home is presumed unlawful. To justify entering someone's house without a warrant, you must be able to establish valid consent, legitimate parole or probation conditions permitting entry, or a recognized exigency (such as hot pursuit, preventing the imminent destruction of evidence, preventing escape of a dangerous offender, preventing substantial property damage, or rescuing someone from imminent peril).
In some cases, you may enter where not doing so immediately could jeopardize your safety or the safety of the public. In Warden v. Hayden and Mincey v. Arizona, the court upheld entries to apprehend dangerous offenders (armed robber and murderer) who posed a threat to officers on the scene and to the public, if not immediately apprehended. It was also within the scope of legitimate safety activities to visually check into rooms and places where an assailant might be concealed, or a victim might be found. However, the court said that once the safety of the scene was secured, a warrant or other lawful basis would be needed to search for evidence.
Officer Safety Sweeps