Homework 3 Solutions

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

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

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

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.

{[ snackBarMessage ]}

### 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
Ask a homework question - tutors are online