# hw01b - aljabr(faa335 – Hw01 – Ross –(89251 1 This...

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Unformatted text preview: aljabr (faa335) – Hw01 – Ross – (89251) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points The cartesian coordinates of a point in the xy plane are x = − 7 . 24 m, y = − 4 . 69 m. Find the distance, r , from the point to the origin. Correct answer: 8 . 62634 m. Explanation: To find the distance from the point to the origin, we use the formula r = radicalbig x 2 + y 2 , which gives us r = radicalBig ( − 7 . 24 m ) 2 + ( − 4 . 69 m ) 2 = 8 . 62634 m . 002 (part 2 of 2) 10.0 points Calculate the angle θ between the radius- vector of the point and the positive x axis (measured counterclockwise from the positive x axis, within the limits of − 180 ◦ to +180 ◦ ). Correct answer: − 147 . 065 ◦ . Explanation: The formula tan θ = y x and the fact that the point is in the third quadrant of the coordinate system (since the cartesian coordinates x and y of the point are negative), yield θ = arctan y x − 180 ◦ = arctan ( − 4 . 69 m ) ( − 7 . 24 m ) − 180 ◦ = − 147 . 065 ◦ . That is, θ = − 147 . 065 ◦ ....
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hw01b - aljabr(faa335 – Hw01 – Ross –(89251 1 This...

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