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

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online