HW 1-solutions

# HW 1-solutions - mitra(am53956 – HW 1 – Opyrchal...

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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 α = 51 . 5 ◦ . a b α θ Find θ . Correct answer: 35 . 4566 ◦ . Explanation: Let the common side be x . a b x α θ In the triangle on the left, tan α = x a x = a tan α , and in the triangle on the right, sin θ = b x = b a tan α θ = arcsin parenleftbigg b a tan α 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 θ = 35 ◦ . The total displacement is the vector sum of the two displacements, so R x = R a + R b cos θ = 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...

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