Flying into a headwind An airplane flies in the xz-plane, where x increases in the eastward direction and z ≥ 0 represents vertical distance above the ground. A wind blows horizontally out of thewest, producing a force F = ⟨150, 0⟩ . On which path between the points (100, 50) and (-100, 50) is more work done overcoming the wind?a. The line segment r(t) = ⟨x(t), z(t)⟩ = ⟨ -t, 50⟩, for -100 ≤ t ≤ 100b. The arc of the circle r(t) = ⟨100 cos t, 50 + 100 sin t⟩ , for 0 ≤ t ≤ π

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