Help me out with 10-sec car calculations !!

Hi.

I had this idea to calculate how much power an average car would need to qualify as a 10-second car. But the thing is that my calculations say that a car has to produce 686HP or more to perform as a 10-sec car, which sounds ridiculous. Can anyone help me out ??

My calcs

Distance travelled=1/4mile=402m. Let’s assume 400m for the sake of simplicity.

Using s=ut+1/2at^2, we get a(cceleration)=8m/s^2

Force=mass*acceleration=1600kg(Assumed to be the average mass of a car)*8m/s^2=12800N.

Work done=400m*12800N=5120000 J

Power=Work done/time taken=5120000/10=512000W=686HP

This is an idealised situation. Taking into account things like friction, drag force etc. etc. I think power required can easily cross 700HP or more.

Is this right ? I mean, does it really take 520KW to power a 10-second car ? That amount could power 100 average homes…