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hw3-sol - Assignment 3 Section 13.1 Problem 4 = 3 4 Problem...

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Assignment 3 Section 13.1 Problem 4: ?? = 3 ? + 4 ? Problem 22: ? + ? = ? − ? Problem 24: 2 ? + 7 ? 5 ? = 26 ? + 54 ? + 35 ? Section 13.2 Problem 10: 𝜃 = arctan 18 15 Problem 14: ? represents the velocity vector of the airspeed of the plane. Thus, we have ? = 498.20 ? + 42.43 ? This is the direction the plane should head in order to go due east. The velocity vector for the wind is ? = 42.43 ? − 42.43 ? . Thus, the velocity vector of the airplane’s speed relative to the ground is ? + ? = 540.63 ? So the airplane’s ground speed is ? + ? = 540.63 km/hr. Problem 16: Let the ? -axis point east and the ? -axis point north. ? , ? and 𝑒 represents the current, wind, and engine vectors, respectively. Thus, we have ? = 12 cos 25 ? ? + 12 sin 25 ? ? = 10.876 ? + 5.071 ? ? = 7 cos 80 ? ? − 7 sin 80 ? ? = 1.216 ? − 6.894 ? The combined velocity of the boat is due east at a speed of 40 km/hr, so we want
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