APPM 2350 Midterm: appm2350summer2016exam1_sol
Document Summary
Summer 2016: (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. A unit vector along the runway is r = cos 150 i + sin 150 j = . Nd the magnitude of the orthogonal projection (labeled with a question mark in the gure) of w on r: the wind vector is w = 28 i. 2 i + 1 r r (cid:17) r = . = 21 i + 7 3 j projrw =(cid:16) w r. = 14 3 orthrw = w projrw = 28 i (cid:16) 21 i + 7 3 j(cid:17) = 7 i 7 3 j. Need to nd c such that s(c) =z c.
