Welcome to the forums Clyde,
Might be a cooling issue where some part overheats and fails. Could be PSU, HSF on the CPU, improperly seated HS on a mobo component. Download realtemp and watch it to rule out the CPU. You can also try with the side of the case off and a fan blowing in there to see if you get more time before it hangs up.
But if its new, work with Acer before doing too much so you don't void your warranty.