After looking around online for a bit I chose to use Adafruit's 9DOF IMU Breakout board. You can find it here:
Adafruit has lots of documentation on all their boards and that makes it much easier to use their products. Once we got the board the next step was to get it hooked up and to learn how it worked. Some information about how to connect the board can be found here:
Basically what that page translates to is this:
5V <<-->> Vin
GND <<-->> GND
A5 <<-->> SCL
A4 <<-->> SDA
Also I connected pins 3, 5, and 6 to the signal pins of the pan, tilt, and roll Servos on the camera mount.
After I connected everything up it was time to start downloading libraries and putting the test code together. I found all my information on how to set up the code for this chip from here:
The key thing is that you have successfully downloaded all four of the libraries they mention in the articles above. The LSM303DLHC and L3DG20 libraries are there to read the information from the gyro and accelerometer/magnetometer. The unified sensor library combines all of this information and the 9DOF library makes this information extremely easy to interpret. On Adafruit's Github they even have an example sketch to help get you started which I have adapted to print some more debugging information and to control the servos. This code that I used to test both the IMU and the camera mount can be found on my Github here:
And a video of the code in action:
So now that I know how to use the IMU to control the camera mount the next step will be to add the IMU to the board to the transmitting Arduino connected to arcade motorcycle and to add the camera mount to the receiving Arduino on the car. Also I want to make the step towards running the ATMEGA328p micro-controllers totally separate for the Arduino boards. This will help make the wiring cleaner, the design more durable, and also with the help of CircuitMaker (a PCB design software) the design easier for anyone to recreate. Here are the schematics that I have drawn up to include the IMU and servos for the camera mount.