Final answer:
The minimal necessary line speed to transmit the uncompressed color image is 2,073,600,000 bits per second (bps).
Step-by-step explanation:
To calculate the minimal necessary line speed to transmit the uncompressed color image, we need to consider the size of the image and the time constraint. The size of the image is given as 1,440 X 900 pixels and each pixel requires 16 bits of data. Therefore, the total size of the image in bits can be calculated as:
Total size = 1,440 X 900 X 16 = 20,736,000 bits.
Given that the time constraint is 0.01 seconds, we can calculate the minimal necessary line speed by dividing the total size of the image by the time constraint:
Minimal necessary line speed = 20,736,000 bits / 0.01 seconds = 2,073,600,000 bits per second (bps).