Observations and other notes of interest from Tuesday night’s 115-105 NBA playoff victory over the Atlanta Hawks:

— This was the perfect example of needing to take care of business with a purpose.

— For the Heat, part of the purpose is Hawks forward John Collins working his way back from toe and finger injuries.

— Re-injected Tuesday into the Hawks’ starting lineup.

— With impressive results.

— And part of it is Clint Capela working on the court pregame Tuesday, still sidelined by the hyperextended knee sustained in Friday night’s play-in victory in Cleveland.

— But perhaps getting closer?

— The longer it gets to go for the Hawks, the better chance for better health.

— As it is, this one required the best of Jimmy Butler.

— For the Heat, it already is as good as it gets.

— With no one on their pregame injury report.

— The Heat were back with a first five of Bam Adebayo, P.J. Tucker, Butler, Max Strus and Kyle Lowry.

— With the start, Lowry tied Rick Mahorn for 83rd and moved past Chris Bosh, Kevin McHale and Metta World Peace for 84th on the NBA all-time playoff list for starts.

— With the start, Butler moved past Shawn Kemp for 94th on the NBA all-time list.

— The Heat entered 15-2 with Strus as a starter.

— The Hawks went with a smaller Game 2 lineup, with Trae Young, Kevin Huerter, De’Andre Hunter, Danilo Gallinari and Collins.

— Collins had been out since March 11 before Sunday’s Game 1 return as a reserve.

— With his opening 3-pointer, Butler tied Derek Harper for 99th on the NBA all-time playoff list.

— His second tied Mike Miller and Mark Jackson for 96th on the all-time playoffs list.

— Tyler Herro entered as Heat sixth man.

— Followed by Dewayne Dedmon.

— And then Duncan Robinson and Gabe Vincent.

— That again left Caleb Martin initially out of the primary rotation.

— Until Adebayo and Dedmon were forced to the bench with their third fouls in the second period.

— Martin had played only mop-up duty in Game 1.

— With Markieff Morris and Victor Oladipo otherwise left to look on.

— Again.

— With their appearances, Butler, Robinson and Herro tied Antoine Walker, Keith Askins and Jason Williams for 23rd on the Heat’s all-time playoff list.

— Adebayo’s second made shot moved him past Jamal Mashburn for 11th on the Heat all-time playoff list.

— Butler’s second free throw moved him past Tom Chambers for 68th on the NBA all-time playoff list.

— Butler’s third free-throw attempt moved him past Chambers for 77th on the NBA all-time playoff list.

— Butler’s third free throw moved him past Tom Heinsohn for 67th on the NBA all-time playoff list.

— Herro’s second defensive rebound tied him with Joel Anthony and Mike Miller for 17th on the Heat all-time playoff list, with his fourth moving him past Antoine Walker for 16th.

— Tucker’s second 3-point attempt tied Clifford Robinson for 86th on the NBA all-time playoff list.

— Tucker’s first 3-pointer tied Tony Parker, Vince Carter and Stephen Jackson for 69th on the NBA all-time playoff list.

— With his first steal, Butler tied Kevin Johnson for 65th on the NBA all-time playoff list.

— Butler’s second defensive rebound moved him past Antoine Walker for 16th on the Heat all-time playoff list.

— Hawks coach Nate McMillan said the Heat’s focus on Young is nothing unexpected.

— “We’ve seen this from Miami all season long,” he said. “There are a number of teams that run switch defenses. We have rules and execution, and styles of play that we want to put out on the floor.”

— He added, “A team that switches one through five, it’s going to take all of the movement that you can run sometimes.”

— McMillan was asked pregame about the Heat’s move of Strus into the starting lineup and Robinson to the second unit.

— “With Strus out there, you’ve still got an elite shooter on the floor,” McMillan said. “With coach Spoelstra making [a] decision like that, you are strengthening something. Maybe it’s his bench and the combination of players coming off the bench. Those guys are still elite shooters, whether you have one or the other on the floor.”

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