HW08-solutions - qazi (kaq87) HW08 berg (55290) 1 This...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: qazi (kaq87) HW08 berg (55290) 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 10.0 points Find the velocity of a particle with the given position function r ( t ) = 9 e 4 t i + 3 e 2 t j . 1. v ( t ) = 36 e t i- 6 e t j 2. v ( t ) = 9 e 4 t i- 3 e 2 t j 3. v ( t ) = 13 e 4 t i + 5 e 2 t j 4. v ( t ) = 13 e 4 t i- 5 e 2 t j 5. v ( t ) = 36 e 4 t i- 6 e 2 t j correct Explanation: The velocity of a particle with position function r ( t ) = x ( t ) i + y ( t ) j is given by r ( t ) = x ( t ) i + y ( t ) j . Thus, since r ( t ) = 36 e 4 t i- 6 e 2 t j , we have that v ( t ) = 36 e 4 t i- 6 e 2 t j . keywords: 002 10.0 points Find the acceleration of a particle having position function r ( t ) = 5 sin t i + 6 t j + 6 cos t k in 3-space. 1. a ( t ) = 5 cos t i- 6 sin t k 2. a ( t ) =- 5 cos t i + 6 sin t k 3. a ( t ) = 5 sin t i- 6 cos t k 4. a ( t ) =- 5 sin t i + 6 cos t k 5. a ( t ) =- 5 sin t i- 6 cos t k correct Explanation: The acceleration of a particle having posi- tion function r ( t ) = x ( t ) i + y ( t ) j + z ( t ) k is given by r ( t ) = x ( t ) i + y ( t ) j + z ( t ) k . Thus, since r ( t ) = 5 cos t i + 6 j- 6 sin t k we have that a ( t ) = r ( t ) =- 5 sin t i- 6 cos t k . keywords: Stewart5e, vector function, posi- tion function, acceleration, curve in 3-space 003 10.0 points A particle moving in 3-space has position function r ( t ) = (5 2) t i + e 5 t j + e 5 t k . What is its speed at time t ? 1. speed = e 5 t + e 5 t 2. speed = 5( e 5 t + e 5 t ) correct 3. speed = radicalbig 10 + e 10 t + e 10 t 4. speed = radicalbig 10 + 5 e t + 5 e t 5. speed = 5( 2 + e 5 t- e 5 t ) Explanation: qazi (kaq87) HW08 berg (55290) 2 A particle with position function r ( t ) = x ( t ) i + y ( t ) j + z ( t ) k , has velocity r ( t ) = x ( t ) i + y ( t ) j + z ( t ) k , and speed = | r ( t ) | . Now when r ( t ) = (5 2) t i + e 5 t j + e 5 t k , we see that r ( t ) = (5 2) i + 5 e 5 t j- 5 e 5 t k , while | r ( t ) | 2 = 50 + 25 e 5 t + 25 e 5 t = 25( e 5 t + e 5 t ) 2 ....
View Full Document

Page1 / 7

HW08-solutions - qazi (kaq87) HW08 berg (55290) 1 This...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online