Darts first time to the track!!

I wouldn't worry about 15 seconds or so.
For some perspective , I was sending a '67 Coronet 4 door with a 318 to the bone yard back in my mis-spent youth.
Standard practice back then was to get a case of beer , some buddies and a brick to set on the gas pedal before the wrecker came to pick it up.
With 1/2 a tank ( yes , gas was cheap back then too ) we fired it up and floor boarded the pedal.
With the hood open , we sat back and started drinking.
After about 25 minutes , the exhaust manifolds were glowing red and it started spitting through the carb.
After about 40 minutes , it ran out of gas. Never seized , never so much as picked up a rod knock.
That taught us a valuable lesson.....drain the oil and coolant out if you expect any kind of violence from these deals.
If your motor is put together right......or even a little loose ...... a quarter mile is nothing for the motor.
But as my former transmission guy once told me , once it starts hooking , you will find the weak link.
Small U joints ? 7 1/4 rear ? I'd maybe bolt a safety loop to the floor just to be sure a front u joint failure doesn't give you a story that lasts a lot longer than it took to clean your britches. But take care when doing your burn out if you do......do " NOT !!!! " unload the driveline in 1st. gear and you will be o.k. for a while there.