Final answer:
The police would analyze the footprints using techniques like powder X-ray diffraction and Fourier-transform infrared spectroscopy.
Step-by-step explanation:
The police would analyze the footprints left in the white powder by using various techniques. One method they might use is called powder X-ray diffraction (PXRD). PXRD can be used to identify the crystalline structure of a substance, which can help determine if the powder is flour, powdered sugar, or an explosive. Another technique that could be used is Fourier-transform infrared (FTIR) spectroscopy. FTIR spectroscopy can provide information about the functional groups present in a substance, which can further aid in identifying the powder.