Homework 3 Solutions

Homework 3 Solutions - HOMEWORK 03 Solutions (1) Suggested...

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

View Full Document Right Arrow Icon
HOMEWORK 03 Solutions (1) Suggested Problems (2) Suggested Problems (3) Calvin the ant has recently found some spilled beer on a college campus. The location of the spill is (1 , 2 , 0). He wishes to return to his anthill to report on the Fnd, however, for some reason, he Fnds that instead of walking in a straight path, he returns home along a path that has velocity v ( t )=(cos t +1) i +5 j +0 k starting at time t =0 . (a) What is Calvin’s actual path r ( t )? r ( t )= ° v ( t ) dt =(s in t + t + c 1 ) i +(5 t + c 2 ) j + c 3 k .T os o l v ef o r c 1 ,c 2 , and c 3 we use his postion at t =0 . r (0) = c 1 i + c 2 j + c 3 k = i +2 j +0 k r ( t )=(s in t + t +1) i +(5 t +2) j +0 k (b) If the entrance to the anthill is at ( 3 π 2 , 15 π +4 2 , 0), will Calvin make it to the entrance? If so, when? To make it to the entrance, there must be some value t 0 for which r ( t 0 )= 3 π 2 i + 15 π +4 2 j +0 k .Th i sg iv e su sth re eequa t ion s : sin t 0 + t 0 +1 = 3 π 2 5 t 0 +2 = 15 π +4 2
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/10/2011 for the course APPM 2350 taught by Professor Adamnorris during the Fall '07 term at Colorado.

Page1 / 3

Homework 3 Solutions - HOMEWORK 03 Solutions (1) Suggested...

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

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