In the situation of Example 7, suppose that a = 100 mi, v₀ = 400 mi/h, and w = 40 mi/h. Now how far northward does the wind blow the airplane?

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Example 7 Flight trajectory If a = 200 mi, vo = 500 mi/h, and w= 100 mi/h, then k = w/v₁ = //, so the plane will succeed in reaching the airport at (0,0). With these values, Eq. (19) yields 100 [(200) ¹/5 - (200) 6/5]. y(x) = 100 (20) Now suppose that we want to find the maximum amount by which the plane is blown off course during its trip. That is, what is the maximum value of y(x) for 0 ≤ x ≤ 200?