My problem is the following: A square wooden plate is hit with a bullet. There are sensors at the four corners. Length of the sides are known. Speed of sound in wood is known. The moments where the four sensors detect the shock are known while the exact time of hit is unknown. I am supposed to calculate coordinates of the hit point.
So, we have square ABCD. Length of one side is L. Inside this square there is a point P(x,y). We also know the following: [PB]-[PA], [PC]-[PA], and [PD]-[PA]. We will find values of x and y.
Does this problem have a solution? Do I have enough information? If so, can you provide a solution?