A plane takes off 200 mi east of its destination, and a 50 mi/h wind is from the south. If the plane’s velocity is 250 mi/h and its heading is always toward its destination, its path can be described as y = 100[(0.005x)^0.8 − (0.005x)^1.2], 0 ≤ x ≤ 200mi. Sketch the path and check using a graphing calculator.