I have found that scars tend to stretch out as the child grows. They lighten to a white color but my son has a scar that was about 1 inch when he was a baby and it is now about 2 inches long at 11 years old.
I have recently found a product called Scarprin that I am using on my daughters scars from her hemangioma surgeries on her cheek. It's a silicone gel and gets good reviews. I haven't been using it long enough to let you know how well it's working, but you could check that out. Silicone is supposed to be the best for scars.
Best of luck!