Can I use the Sharp GP2Y0A02YK0F sensor ?
OK, the photo gives some clues. This is for a full-size car, right? Driving on public roads? Day and night? But GPS is so easy - is there some reason you don't want to use GPS? If you're measuring wheel slip then this may be one reason for measuring the tire and not some other component of the drive train?
No, you can't use that sensor. That's a distance sensor, not a bright/dark sensor.
The 10-15cm distance seems to indicate that you're mounting the sensor in the wheel well to look at the side (outside??!!) of the tire. You know real cars have suspension and the white mark on the tire won't always go past the same point? That idea seems impossible to me. We need more information on what you think you want to measure.