APPM 2350 Midterm: appm2350summer2017exam1_sol
Document Summary
Summer 2017: (15 pts) indicate in your blue book which of the following statements are true and which are false. [u(t) v(t)] = u(t) v (t) + u (t) v(t). d dt: (10 pts) an important parameter in aircraft takeoff and landing operations is the crosswind, the component of the wind perpendicular to a runway. Suppose takeoffs and landings on a particular runway must be suspended when the crosswind exceeds 15 mph. Method 1 the crosswind, c, is the orthogonal projection of the wind vector, w, onto the runway, r. The unit vector along the runway is r = hcos(150 ), sin(150 )i =d . The wind vector is 36i = h36, 0i. projrw = w r r r. 2 , 1 r = h36, 0i d . 2e d orthrw = w projrw = h36, 0i d27, 9 3e =d9, 9 3e . The wind exceeds 15 mph, so the runway is unusable.
