Amit flies due east from san Francisco to Washington D. C, a displacement of 5600km. He then fliesfrom Washington D. C to Boston, a displacement of 900 km at an angle of 55.0°east of north. What is amit's total displacement?

Question

Physics

Theodore Carney

31 January, 15:53

Amit flies due east from san Francisco to Washington D. C, a displacement of 5600km. He then fliesfrom Washington D. C to Boston, a displacement of 900 km at an angle of 55.0°east of north. What is amit's total displacement?

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Answers (1)

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Boston Stein · Answer 1

Refer to the diagram shown below.

The angle at DC (Washington, DC) is 90 + 55 = 145°.

Let d = the total distance traveled.

From the Law of Cosines, obtain

d² = 5600² + 900² - 2 (5600) (900) cos (145°)

= 4.0427 x 10⁷

d = 6358.23 km

Answer: 6358.2 km (nearest tenth)