Check with neighbors up and down the street and around the block to see if anybody saw something or had security cameras that might have gotten a picture of the car and driver.
Or drive around the neighborhood in ever widening circles once or twice a week and see if you spot the car.
Otherwise, you'll just have to wait and see if the police come up with anything.
If not, your father fixes his own damage and gets on with his life being consoled by the fact that the other driver messed up his own car worse than your father's truck.

