Class notes
Vectors and their properties]
- Course
- Institution
- Book
FIS00FP Unit 2: Vectors and their properties – examples
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
More summaries for
-
NEWTONS LAWS OF MOTION CLASS 11 NCERT
Seller
Follow
luckymagugwana
Content preview
FIS00FP Unit 2: Vectors and their properties – examplesExample 1:
A person walks in the following pattern: 3,1 km north, then 2,4 km west and finally 5,2 km south. a) Sketch the vector diagram that
represents this motion. b) How far and c) in what direction would a bird fly in a straight line from the same starting point to the same
final point?
Solution:
a) I placed the Cartesian origin at the starting point of the person/bird’s journey and (arbitrarily) labelled each leg of the journey as
follows:
b) The bird and the person have the same displacement vector. Let’s call it 𝑑⃗. We need to find the magnitude of 𝑑⃗. First, we will
need to resolve vectors 𝐴⃗, 𝐵
⃗⃗ and 𝐶⃗ into their respective components (the displacement vector is the resultant or vector sum of 𝐴⃗,
⃗⃗ and 𝐶⃗).
𝐵
Vector 𝐴⃗ is vertical, pointing upward:
x component of vector 𝐴⃗: 𝐴𝑥 = 𝐴𝑐𝑜𝑠90° = 3,1𝑐𝑜𝑠90° = 0 𝑘𝑚
y component of vector 𝐴⃗: 𝐴𝑦 = 𝐴𝑠𝑖𝑛90° = 3,1𝑠𝑖𝑛90° = 3,1 𝑘𝑚
⃗⃗ is horizontal and pointing to the right. Its components are as follows:
Vector 𝐵
𝐵𝑥 = 𝐵𝑐𝑜𝑠0° = 2,4𝑐𝑜𝑠0° = 2,4 𝑘𝑚
𝐵𝑦 = 𝐵𝑠𝑖𝑛0° = 2,4𝑠𝑖𝑛0° = 0 𝑘𝑚
The direction of vector 𝐶⃗ makes an angle of 270° with respect to the positive x-axis:
𝐶𝑥 = 𝐶𝑐𝑜𝑠270° = 5,2𝑐𝑜𝑠270° = 0 𝑘𝑚
𝐶𝑦 = 𝐶𝑠𝑖𝑛270° = 5,2𝑠𝑖𝑛270° = −5,2 𝑘𝑚
The x component of the displacement vector:
𝑑𝑥 = 𝐴𝑥 + 𝐵𝑥 + 𝐶𝑥 = (0) + (2,4) + (0) = 2,4 𝑘𝑚
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller luckymagugwana. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $13.16. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
52355 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now