In: Physics
Consider the problem of image blurring due to uniform acceleration in the x direction. If the image is at rest at position x_0 at time t = 0 and accelerates with a uniform acceleration a, then its position at time t = T is given by x = x_0 + (1/2) a(T)^2. Find the blurring function. (Assume that the shutter opening and closing times are negligible.)