A jumbo jet maintains a constant airspeed of 500 miles per hour (mi/hr) headed due north. The jet stream is 80 mi/hr in the northeasterly direction. (a) Express the velocity v_a of the jet relative to the air and the velocity v_w 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_s v_a = 500j Find v_w. v_w = 40 Squareroot 2i + 40 Squareroot 2j
(b) Find the velocity of the jet relative to the ground. v_g = 40 Squareroot 2i + 40 Squareroot 2j
(c) Find the actual speed and direction of the jet relative to the ground. The jet is travelling at 559.4 mi/hr relative to the ground, in the direction N 65 degree E.

A jumbo jet maintains a constant airspeed of 500 miles per hour (mi/hr) headed due north. The jet stream is 80 milhr in the northeasterly direction. (a) Express the velocity va 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 va. va 500 (Simplify your answer. Type your answer in the form ai bj. Type an exact answer, using radicals as needed.) Find v 40 2i +40 2 (Simpl fy your answer Type your answer in the form ai bi. Type an exact answer, using radicals as needed.) (b) Find the velocity of the jet relative to the ground va 40 2 500 40 2 j (Simplify your answer. Type your answer in the form ai bj. Type an exact answer, using radicals as needed.) (c) Find the actual speed and direction of the jet relative to the ground The jet is travelling at 559.4 mihr relative to the ground, in the direction NT 65 E (Round to one decimal place as needed.)

Step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.