Question

a through c

Homework: Section 9.4 Score: 0 of 1 pt 9.4.77 Save 25 of 27 (26 complete) Hw Score: 96.3%, 26 of 27 pts Question Hep A jumbo jet maintains a constant airspeed of 550 miles per hour (mi/hr) headed due north. The jet stream is 80 mi/hr in the northeasterly direction (a) Express the velocity v, of the jet relative to the air and the velocity vw of the jet stream in terms of i and J (b) Find the velocity of the jet relative to the ground. (c) Find the actual speed and direction of the jet relative to the ground (a) Find v. Simplity your answer. Type your answer in the form ai + bj. Type an exact answer, using radicals as needed.)

Answer 1

Given that A jumbo set maintains a constant airspeed of 550 miles/hr the jet stream is 80 mi/hr in the northeasterly direction assuming cartesian system. North points to positive y-axis and East points to positive x-axis (a) as the plane is moving to the north V_a = 550 j (b) as the wind blows in the northeast direction V_w = 80 cos (pi/4)^i + 80 sin [pi/4]: V_w = 40 squareroot 2i + 40 squareroot 2i = 56.56 i + 56.56 V_g = V_a + V_w V_g = 550 j + 56.56 i + 56.56 j = 606.56 j + 56.56 i Therefore V_g = 56.56 i + 606.56 j (c) Actual Speed vert V_g vert = squareroot (56.56)^2 + (606.56)^2 = 609.199 theta = tan^-1 [609.199/56.56] = tan^-1 (10) = 84.69 So it is 84.69 degree North of east