Considering the constraints of your project such as the power consumption, automotive design need, ASIL-D certification, and a strict budget, you might want to consider the Bosch Sensortec BMI160 IMU. It has a very low power consumption, highly recommended for battery-driven applications, and is used in automotive industry as well (although you may have to confirm the specific ASIL-D certification with the manufacturer).

However, I must note that it might be challenging to keep the total BOM below $2.00 after including an IMU as these components themselves can often run in the range of a few dollars each. You may have to compromise on other components or negotiate bulk pricing to meet your price point.

Please keep in mind that I don't have real-time access to a database of components. Actual part availability, certification status, and pricing can vary, and I would advise you to check with the manufacturer or your parts distributor for up-to-date information.

The microcontroller used in your project is a Raspberry Pi's RP2040. For the RP2040, both the I/O voltage (IOVDD) and digital core voltage (DVDD) are typically 3.3V. This is confirmed by your schematic connections where both IOVDD and DVDD pins are connected to the 3V3 net which seems to be the output of a 3.3V regulator (U2: AMS1117-3.3). Thus, it can be concluded that the operating voltage of the RP2040 microcontroller in your project is 3.3V.

The operating voltage of U1, which is the RP2040 microcontroller in your project, is 3.3V. This is according to the provided datasheet excerpt, which states: "In most applications, RP2040 will be powered from a single 3.3V supply, [...] The digital IO (IOVDD), 2.9.7.1. Single 3.3V Supply"[1].

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The best choice of Inertial Measurement Unit (IMU) greatly depends on your specific needs and requirements such as precision, power consumption, size, and budget.

However, since you're using a Raspberry Pi RP2040 in your project, the MPU-6050 could be a reasonable choice. The MPU-6050 is a popular 6-DOF (Degrees of Freedom) IMU that incorporates a 3-axis accelerometer and a 3-axis gyroscope. It uses an I2C interface for communication which is supported by the RP2040, reducing complexity in connection and programming.

Key features of MPU-6050:

If you require a more advanced IMU, you might opt for the BNO055. This is a 9-DOF sensor with a 3-axis accelerometer, a 3-axis gyroscope, and a 3-axis magnetometer. In addition to raw sensor data, it's able to output sophisticated fusion sensor data like absolute orientation. It's more complex and expensive than the MPU-6050 but may offer better performance for some applications.

Remember, the optimal IMU largely depends on your specific needs and constraints. Make sure to analyze the requirements of your application before making a decision.

Please note that these suggestions are based on components commonly used with the Raspberry Pi RP2040. If you have any contrary requirements, please provide more details.