1. The problem statement, all variables and given/known data 3. The attempt at a solution I've solved part (a) by solving the differential equations in the x and y directions, but for the approximation maximum range part i'm slightly confused: 1. What does it mean by "assuming the correction with k ≠ 0 is small? I tried to expand ln (1 + y) = y - y2/2 + .... to the first order but that doesn't give me a result..(unless you consider x = 0 as a result) 2. Why are there 2 maximum ranges here? The first bit is about finding the range right? Why do they call it maximum range when it is just the range at any given angle? I know the last part involves finding the angle that gives the maximum range, which is truly the maximum range, and not as described as above..