What is the Displacement of a Particle from t=1s to t=3s?

In summary, The displacement of the particle from t=1s to t=3s is calculated by replacing t with 1 and 3 in the given position vector equation. This results in two position vectors, (-5,10,5) and (-15,90,-20). The magnitude of the displacement vector can be calculated using the Pythagorean theorem.
  • #1
Jimmy84
191
0

Homework Statement



Determine the displacement of this particle from t=1s to t=3s

r=-(5,0m/s)t i + (10,0m/s^2)t^2 j + (7,0m -(2,0m/s^3)t^3) k


Homework Equations





The Attempt at a Solution


I don't have an idea how to do this if I should to it by replacing t by 1 and then getting the magnitude of the vector for example. or should i get the value of t = 1 by each component alone and substract the components of 3 - the components of 1 ?

I must finish this soon thanks for the help in advance
 
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  • #2
the equation represents the position vector in the form of coordinates.make t=1and t=3,you will get two position vectors (-5,10,5)and(-15,90,-20).use the knowledge of vector of the form of coordinates and you will get the answer
 
  • #3
azureth said:
the equation represents the position vector in the form of coordinates.make t=1and t=3,you will get two position vectors (-5,10,5)and(-15,90,-20).use the knowledge of vector of the form of coordinates and you will get the answer

Now I must only get the magntitude of the vectors? thanks
 
  • #4
you may get the magnitude of the vector of displacement by using pythagorean theorem
 
  • #5
azureth said:
you may get the magnitude of the vector of displacement by using pythagorean theorem

thanks a lot
 

FAQ: What is the Displacement of a Particle from t=1s to t=3s?

What is help displacement problem?

Help displacement problem is a phenomenon where the provision of external aid or assistance can unintentionally hinder the long-term development of a community or country. This can occur when the aid is not effectively managed or coordinated, leading to dependency on external support and disempowerment of local individuals and institutions.

What are the causes of help displacement problem?

The causes of help displacement problem can vary, but it is often linked to a lack of understanding of the local context and needs, as well as ineffective aid delivery and coordination. Additionally, political and economic factors, such as corruption and unequal distribution of resources, can also contribute to this issue.

How does help displacement problem impact communities?

Help displacement problem can have negative impacts on communities in various ways. It can create a cycle of dependency, where communities become reliant on external aid rather than developing their own sustainable solutions. This can also lead to disempowerment and loss of agency, as well as the disruption of local economies and cultures.

What can be done to address help displacement problem?

To address help displacement problem, a holistic approach is needed. This includes involving local communities in the decision-making process and prioritizing their needs and perspectives. Aid organizations should also work towards building the capacity of local individuals and institutions, as well as promoting sustainable development practices.

How can scientists contribute to addressing help displacement problem?

Scientists can play a crucial role in addressing help displacement problem by conducting research and providing evidence-based recommendations for effective aid delivery and community development strategies. They can also collaborate with aid organizations and local communities to develop sustainable solutions that address the root causes of this issue.

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