An airplane flies 400 km due east, makes a right-angle turn, and then flies 340

Question

An airplane flies 400 km due east, makes a right-angle turn, and then flies 340 km due north. Find the magnitude of the plane’s displace- ment from its starting point. Neglect the curvature of the earth. Answer in units of km. An airplane flies 400 km due east, makes a right-angle turn, and then flies 340 km due north. Find the magnitude of the plane’s displace- ment from its starting point. Neglect the curvature of the earth. Answer in units of km. An airplane flies 400 km due east, makes a right-angle turn, and then flies 340 km due north. Find the magnitude of the plane’s displace- ment from its starting point. Neglect the curvature of the earth. Answer in units of km.

Explanation / Answer

r1 = 400 i^ km
r2 = 340 j^ km

Displacement Vector , R = 400i^ + 340 j^
|R| = sqrt(400^2 + 340^2)
|R| = 525 km
Magnitude of the plane’s displace- ment from its starting point, |R| = 525 km

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