HW 1-solutions

HW 1-solutions - mitra (am53956) HW 1 Opyrchal (11113) 1...

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Unformatted text preview: mitra (am53956) HW 1 Opyrchal (11113) 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points A basketball player is 6 ft 1 3 8 in tall. What is his height in centimeters? Correct answer: 186 . 373 cm. Explanation: We can convert to inches and then to cen- timeters: 6 ft 1 3 8 in = parenleftbigg 6 ft 12 in 1 ft + 1 . 375 in parenrightbigg 2 . 54 cm 1 in = 186 . 373 cm . 002 10.0 points For the given triangles, a = 12 . 3 m, b = 8 . 97 m, and = 51 . 5 . a b Find . Correct answer: 35 . 4566 . Explanation: Let the common side be x . a b x In the triangle on the left, tan = x a x = a tan , and in the triangle on the right, sin = b x = b a tan = arcsin parenleftbigg b a tan parenrightbigg = arcsin bracketleftbigg 8 . 97 m (12 . 3 m) tan 51 . 5 bracketrightbigg = 35 . 4566 . 003 10.0 points A person walks 30 m East and then walks 34 m at an angle 35 North of East. What is the magnitude of the total dis- placement? Correct answer: 61 . 0497 m. Explanation: Let : R a = 30 m , R b = 34 m , and = 35 . The total displacement is the vector sum of the two displacements, so R x = R a + R b cos = 30 m + (34 m) cos35 = 57 . 8512 m and R y = R b...
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HW 1-solutions - mitra (am53956) HW 1 Opyrchal (11113) 1...

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