11.40. In Problem 11.39, if the range of the projectile is R for the case w...

  

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11.40. In Problem 11.39, if the range of the projectile is R for the case w = 0, show that the change in the range AR due to the rotation of Earth is (neglecting terms in w) 2R AR = cot2 a 1 3/2 tan | W COS | 3 11.39. A projectile is fired due east from a point on the surface of Earth at a north latitude of A, with a ve- locity u and at angle of inclination a with the horizontal. Show that the lateral deflection when the projectike hits the ground is (neglect terms of w) Ar w sin 2a sin a sin A %3D 11.40. In Problem 11.39, if the range of the projectile is R for the case w = 0, show that the change in the range AR due to the rotation of Earth is (neglecting terms in w) 2R AR = cot2 a 1 3/2 tan | W COS | 3 11.39. A projectile is fired due east from a point on the surface of Earth at a north latitude of A, with a ve- locity u and at angle of inclination a with the horizontal. Show that the lateral deflection when the projectike hits the ground is (neglect terms of w) Ar w sin 2a sin a sin A %3D