Bob Carpenter when they set the land speed record with their rocket 3, they tried a car tire and it just ended up spinning more than the bike tire so they went back to the bike tire.
Hard car tire vs soft bike tire = loses every time for grip/traction.
Width of tire does not determine grip. Width only determines longevity.
A quote from a physics forum:
Mehcanisms of Tire grip. Friction Mechanical Keying Adhesion As they are madr from deformable rubber, tires dont exactly follow basic friction theory. So to just say that F=mu*r is strictly wrong. Although it basically does floow this during the elastic range. Tires only give grip when they are at the correct temperature. this is the most important thing you can remember about tires . Now on to business. Tires are the most important part of the suspension, either they are designed to fit it, or the suspension is designed around the tire. People who say wider tires make more grip because ;''there is more rubber on the road' are wrong. They are both wrong that it makes mroe grip and that there is more rubber on the road. When you make a tire wider, you alter the contact patch to be wider , but it reduces in length.
So depending on sidewall stiffness, a wider tire can actually give less rubber on the road. The main reason for tires being the size they are is actually heat management. Wider, low sidewall tires will cool better than narrow tall tires. If you can;'t get a tire up to temperatie it will give no grip, if you get it too high you will cook the rubber and ruin the set of tires. Back to contact patch, you can safely assume that contact patch stays roughly the same area with wide or narrow tires (as long as the load stsys the same). Narroe will have longer contact patches and wide tires will have shorter. The reason why F1 tires are wide is primarily so that they dont cook (remember they arent just wide, they are fairly high sidewalled), but they ten dto have wider contact patches because they will give better grip going round corners. A wide tire will generate more lateral force per slip angle making cornering better. F1 cars DO NOT have wide tires for linear acceleration.
Conversely (Mike im goin to have to disagree with you here) drag racers acutally use the tires not becuase of the width, but the tallness. As we know a wider contact patch gives better cornering performance, a narrow but long contact patch is what you want for linear acceleration. so strangely, drag racers will actually be better with narrow tires. So why do they use wide tires? (remember the most important gip aspect of tires) Temperature! They want as longer contact patch as they can get, but need the width for cooling. (eith 4000+ horsepower you do kind of build temp rather well) But if you look at the contact patch shape between say, an F1 car or drag racer. (both are considered to use wide tires). The F1 patch will be wider and shorter for good cornering, the drag patch will be longer and narrower (relatively) for good linear acceleration. So to sum up: Wider tires are not always better. They dont always give better traction. It depends on the car, the situation, the conditions. Eg.
Rally cars use wider tires when on tarmac rallys, and use (surprisingly) very thin tires on ice rallys. F1 cars used to use narrow tires until aero began to be used in the 60's. Drag racers acutally want tall tires, width is there to stop the tire being destroyed. TEMPERATURE!!!!!! rawr. As example I can think of is formula student cars, they used to use 8inch tires but couldnt get them up to temperature. They switched to 6.5inch and got more grip because they can get them up to temp. hoyl beep thats the longest post i've ever done. I should do a tl;dr summary.
Reference
Wider tire giving better traction debate!
More on it here:
Friction - Wikipedia, the free encyclopedia width is not a factor in friction generation that increases or decreases friction, it only increases or decreases pressure, less pressure less heat, less heat less wear. All that goes out the window with the abnormal contact patch of a car tire on a bike.
Add to that misaligned bead of a car tire in a rocket rim, the liability, enjoying dragging pegs frequently, and the ability to afford bike tires there is literally NO reason to run a car tire.