An airplane flies in the xz-plane, where x increases in the eastward direction and z20 represents...

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An airplane flies in the xz-plane, where x increases in the eastward direction and z20 represents vertical distance above the ground. A wind blows horizontally out of the west producing a force F = (160,0). On both paths below between the points (30,70) and (- 30,70), the work done overcoming the wind is - 9600. (a) The straight line r(t) = (x(t),z(t)) = (-t,70), for - 30 <ts 30 (b) The arc of a circle r(t) = (30 cos t,70 + 30 sin t), for 0stsa Complete parts a and b below. a. How does the result change if the force due to the wind is F= (146, - 40) (approximately the same magnitude, but a different direction)? On which path is more work done overcoming the wind? Set up the integral for finding the work done along path (a). |(D dt (Simplify your answers.) - 30 An airplane flies in the xz-plane, where x increases in the eastward direction and z20 represents vertical distance above the ground. A wind blows horizontally out of the west producing a force F = (160,0). On both paths below between the points (30,70) and (- 30,70), the work done overcoming the wind is - 9600. (a) The straight line r(t) = (x(t),z(t)) = (-t,70), for - 30 <ts 30 (b) The arc of a circle r(t) = (30 cos t,70 + 30 sin t), for 0stsa Complete parts a and b below. a. How does the result change if the force due to the wind is F= (146, - 40) (approximately the same magnitude, but a different direction)? On which path is more work done overcoming the wind? Set up the integral for finding the work done along path (a). |(D dt (Simplify your answers.) - 30