Any time you have an electrical problem of any kind, start with the basics.
The battery is the beginning and end of your electrical system. Visually check the negative and positive terminal for corrosion, and make sure they're tight.
Once you've done that, take the vehicle to your place of choice (autozone is mine) and have them check the alternator and battery with their tools. They'll do this for free in the parking lot.
If it all comes back O.K. then the next thing to do is start looking at fuses. Use a multimeter or test light (preferably the former) and check each one using the little tabs on the tops of them. Turn the key on and start probing around on each side of the fuse. Some fuses you may get voltage, others you may get none. The important thing to look for is that each side is the same. For example, +12 on one side, +12 on the other. That fuse is fine, check another. Ground on one side, ground on the other, still ok, check another. +12 on one side, ground on the other, red flag. If you find such a fuse, replace it with the appropriate amp rating (7.5 with a 7.5, 20 with a 20, 5 with a 5, etc).
If none of that yields anything, the next thing I would check is a faulty ground. It's possible that both the radio and the instrument cluster share circuitry somewhere, likely on the ground side. When you hit a bump as you describe, the ground can come loose and cause your symptoms. The reason being is that voltage is going any way it can to get back to ground, which causes some really strange things to happen.
To start with that, pull the radio and instrument cluster and use some contact cleaner on all their connections, then plug them back in, making sure everything is nice and secure. If the problem remains, find some wiring diagrams for your 2008. I'm sure RonD, another user on here whom you may have seen, will know where to get them from.
EDIT: Back to the battery for a moment. If you have a multimeter, measure resistance between the top of the battery post and the terminal itself. You want it to be at zero ohms or as close as possible. Believe it or not, but this can case issues.