x C Solved: suppose à plotG calculator-Googl re https//session.masteringphysics.

Question

x C Solved: suppose à plotG calculator-Googl re https//session.masteringphysics.com/myct/mastering#/ MasteringPhysics: Homework #4-Google Chrome Secure https://session.masteringphysics.com/myct/itemVie Homework #4 Problem 3.50-MC Problem 3.50 - MC Part A pilot in a small plane encounters shifting winds. He flies 40.0 km at 30 north of east, then 50.0 km due north. From this point, he flies an additional distance in an unknown direction, only to find himself at a small airstrip that his map shows to be 120 km directly north of his starting point. In Part B

Explanation / Answer

initial displacement , r1 = 40*(cos(30 deg) i + sin(30 deg) j) <--------- i = unit vector along EAST , j = along NORTH

r2 = 50 j

So, r,net = r1 + r2 + r3 = 120 j

So, 40*(cos(30 deg) i + sin(30 deg) j) + 50 j + r3 = 120 j

So, r3 = ( -34.6 i + 50 j )

So, distance moved = sqrt(34.6^2 + 50^2) = 60.8 km <------ answer

and direction = atan(50/34.6) = 55.3 deg <------ answer

Related Questions

Navigate

• Browse (All)
• Browse X
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.