Question

An airplane undergoes the following displacements, all at the same altitude: First, it flies 59 km in a direction 30.0° east of north. Next, it flies 58 km due south. Finally, it flies 100 km 30.0° north of west. Use components to determine how far the airplane ends up from its starting point. A. 71.5 km B. 73.0 km C. 74.4 km D. 70.1 km E. 68.7 km

Answer 1

Son:- S de = 59km 2 : 30 di COSEL Id, dsing dz= lookm Os=30' dzsinoz On Х dz Cosez A d2 =582 km south je negative y-axis Total X-component displacement di sinas + o-dz Cosoz. s Sxalth CS CamScanner

59 sin 30' - 100 cos 30° Sx = -57 10 km y component displacement Sy = de Cosol - dz tog sind. 59.603 30° - 58 + 100 Sino) Sy 43.09 km 57.1 km west & 26.9 km The airplane is North from the starting point. Distance from starting point: ✓ sx ² + sy? sa J 5710)2 + (43.092 s= s= 71.5km the Arplane is at 71.5 km far from starting point Optin = 71.5km is correct CS Scanned with CamScanner