An eight-year-old boy is in a critical condition after he was shot in the head at a waterpark in Michigan – with eight other people injured.

His mother is also in a critical condition, while his four-year-old brother is in a stable condition with a leg wound, after a gunman opened fire in a Detroit suburb on Saturday.

Another other six victims, who are all aged 30 or over, including a husband and wife and a 78-year-old man, are said to be in a stable condition.

Police tracked the suspected gunman, described as a 42-year-old white man, to a home, where they sent a drone inside to find he had died by a self-inflicted gunshot wound, authorities said.

The shooting happened at just after 5pm at the Brooklands Plaza Splash Pad in Rochester Hills, an area of a city park where people can play in fountains of water.

Oakland County Sheriff Mike Bouchard said the attack appeared to be random, with the gunman driving up to the park, walking to the water recreation area and firing up to 28 times, stopping multiple times to reload.

“People were falling, getting hit, trying to run,” he said. “Terrible things that unfortunately all of us in our law enforcement business have seen way too much.”

The sheriff said the gunman, who at least one witness said was using two handguns, was “apparently in no rush” and “just calmly walked back to his car”.

An officer arrived at the scene within two minutes of the 911 call, he said, with the first deputies providing first aid including tourniquets.

A handgun and three empty magazines were recovered from the scene, the sheriff said.

Police were able to quickly come up with a likely address, and a car matching the suspect’s was discovered at the residence.

Sheriff Bouchard said the quick actions of police may have prevented a “second chapter” to the shooting as he showed a photo of a semiautomatic rifle on a table inside the home.

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Another handgun, believed to have been used by the suspect to take his own life, was also found inside.

The suspect, who is believed to have lived with his mother, did not live in Rochester Hills and it is not yet known why he went to the park or what his motive may have been.

Rochester Hills Mayor Bryan Barnett said he “started to cry” when he arrived at the scene because it is supposed to be a place where people gather and have fun.

The shooting was a reminder “that we live in a fragile place,” he said, while Sheriff Bouchard called it “a gut punch” for the county.

“Our most fervent hope, at least at his point, is that all of the injured victims have speedy recoveries,” he said.

“None of us… anticipated going into Father’s Day weekend with this kind of tragedy that families will be deeply affected by forever.”

A woman who was a psychiatric patient when she incriminated herself in a 1980 Missouri murder has had her conviction overturned after spending 43 years behind bars.

Sandra Hemme’s lawyers say a disgraced police officer was responsible for the killing of 31-year-old library worker Patricia Jeschke and this is the longest time a woman has been imprisoned for a wrongful conviction in US history.

Judge Ryan Horsman ruled on Friday the 63-year-old had established evidence of actual innocence, said her trial counsel was ineffective and prosecutors had failed to disclose evidence that would have helped her.

He said she must be freed within 30 days unless prosecutors retry her, but her lawyers, with the New York-based Innocence Project, are seeking her immediate release.

“We are grateful to the Court for acknowledging the grave injustice Ms Hemme has endured for more than four decades,” they said in a statement, promising to keep up their efforts to dismiss the charges and reunite Hemme with her family.

The brutal killing of Ms Jeschke grabbed the headlines after her worried mother climbed through her apartment window in in St Joseph, Missouri, and found her daughter’s naked body on the floor surrounded by blood on 13 November 1980.

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Her hands were tied behind her back with a telephone cord, and a pair of tights was wrapped around her throat, with a knife under her head.

Ms Hemme was shackled in leather wrist restraints and so heavily sedated she “could not hold her head up straight” or “articulate anything beyond monosyllabic responses” when she was first questioned over Ms Jeschke’s death, according to her lawyers.

They alleged in a petition seeking her exoneration that authorities ignored her “wildly contradictory” statements and suppressed evidence implicating Michael Holman, then a 22-year-old police officer who tried to use the murdered woman’s credit card on the day her body was found.

The judge found that “no evidence whatsoever outside of Ms Hemme’s unreliable statements connects her to the crime”.

“In contrast,” he added, “this Court finds that the evidence directly ties Holman to this crime and murder scene.”

Holman, who had been a suspect and was questioned at the time, was fired after investigations for burglary and insurance fraud, and died in 2015.

Donald Trump has challenged President Joe Biden to take a cognitive test – only to confuse the name of his own doctor.

The Republican presidential nominee has regularly lambasted his rival over his various gaffes, despite his own tendency to ramble or get facts wrong.

Speaking in Detroit, Mr Trump questioned the president’s mental acuity. He said: “He doesn’t even know what the word ‘inflation’ means. I think he should take a cognitive test like I did.”

Seconds later, he continued: “Doc Ronny Johnson. Does everyone know Ronny Johnson, congressman from Texas? He was the White House doctor, and he said I was the healthiest president, he feels, in history, so I liked him very much indeed immediately.”

However he was clearly referring to Ronny Jackson, who was the White House physician for part of his presidency.

He was elected to Congress in 2021 and is one of Mr Trump’s most vociferous defenders on Capitol Hill.

Mr Trump took the cognitive test in 2018 at his own request, Dr Jackson told reporters at the time. The exam is designed to detect early signs of memory loss and other mild cognitive impairment.

The former president, who turned 78 on Friday, has made questioning whether the 81-year-old President Biden is up for a second term a centrepiece of his campaign.

But online critics quickly seized on his Saturday night gaffe, with the Biden campaign posting a clip of the moment minutes later.

President Biden poked fun at Mr Trump’s age too, wishing him a happy 78th birthday “from one old guy to another” on X.

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It comes after a week in which both rivals were criticised for awkward moments in public.

President Biden appeared to freeze for several seconds before briefly stumbling on his words at an event marking the anniversary of Juneteenth on Monday.

Meanwhile, a teleprompter malfunction in Las Vegas saw Mr Trump go off on a bizarre tangent about his dislike of sharks.