oldhw6_s - oldhomewk 06 – YOO HEE – Due 4:00 am 1...

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Unformatted text preview: oldhomewk 06 – YOO, HEE – Due: Jan 29 2008, 4:00 am 1 Question 1, chap 1, sect 1. part 1 of 2 10 points Two points in the xy plane have cartesian coordinates ( x 1 , y 1 ) and ( x 2 , y 2 ), where x 1 = 4 . 5 m, y 1 =- 10 m, x 2 =- 10 m, and y 2 = 5 . 4 m. Determine the distance between these points. Correct answer: 21 . 1521 m (tolerance ± 1 %). Explanation: By simple geometry of triangle, the dis- tance between two points is d = radicalBig [ x 2- x 1 ] 2 + [ y 2- y 1 ] 2 = braceleftbigg bracketleftBig (- 10 m)- (4 . 5 m) bracketrightBig 2 + bracketleftBig (5 . 4 m)- (- 10 m) bracketrightBig 2 bracerightbigg 1 2 = 21 . 1521 m . Question 2, chap 1, sect 1. part 2 of 2 10 points What is the angle between the line con- necting the two points and x-axis (measured counter-clockwise, within the limits of- 180 ◦ to +180 ◦ )? Correct answer: 133 . 276 ◦ (tolerance ± 1 %). Explanation: The angle between the line connecting the two points and x-axis (positive in counter- clockwise direction) is θ = arctan bracketleftbigg y 2- y 1 x 2- x 1 bracketrightbigg = arctan bracketleftbigg (5 . 4 m)- (- 10 m) (- 10 m)- (4 . 5 m) bracketrightbigg = arctan bracketleftbigg (15 . 4 m) (- 14 . 5 m) bracketrightbigg = 2 . 3261 rad = 133 . 276 deg .-10-10-9-9-8-8-7-7-6-6-5-5-4-4-3-3-2-2-1-1 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 (- 10, 5 . 4) (4 . 5,- 10) 1 3 3 . 2 7 6 d e g Question 3, chap 3, sect 3. part 1 of 2 10 points A descent vehicle landing on the moon has a vertical velocity toward the surface of the moon of 31 . 1 m / s. At the same time, it has a horizontal velocity of 52 . 5 m / s....
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oldhw6_s - oldhomewk 06 – YOO HEE – Due 4:00 am 1...

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