Solve 3D Vectors: A, V0, R0, T for r0, V, Vave

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Homework Help Overview

The discussion revolves around a problem involving 3D vectors in the context of kinematics. Participants are tasked with finding the position vector (r0), velocity vector (V), and average velocity (Vave) given acceleration (A), initial velocity (V0), initial position (R0), and time (T).

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the nature of the problem, questioning the definitions of the vectors involved, particularly R0. There are discussions about the appropriate kinematic equations to use, with some suggesting the breakdown of vectors into component form for calculations.

Discussion Status

The discussion is active, with participants offering various approaches to the problem. Some have provided potential equations to use, while others are clarifying the definitions of the vectors. There is no explicit consensus yet, but multiple interpretations and methods are being explored.

Contextual Notes

Participants note the late hour and express some uncertainty about their understanding, which may affect their reasoning. There is an acknowledgment of the need to consider the units involved in the problem.

Mimi
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3Dvectors !?

Given; A=<3,-2,-4>m/s^2 , V0=<1,2,3>m/s, R0=<30,-80,40>m, T=8s.
Find; r0, V, Vave...?

Is this 3D vector question? What formulas should I use for finding these values?? Please help...
 
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what is R0?
 
position...i'm assuming its find r1
 
Given; A=<3,-2,-4>m/s^2 , V0=<1,2,3>m/s, R0=<30,-80,40>m, T=8s.

duh, i should have looked at the units...maybe i should get some sleep(it is 1:26am here)


well, i'd go with [tex]\vec{R}=\vec{R_0}+\vec{v_0}t+\frac{1}{2}\vec{a}t^2[/tex] to find r. you can use [tex]\vec{v}=\vec{v_0}+\vec{a}t[/tex] to find v. [tex]\vec{v}_{avg}=\frac{\vec{v}+\vec{v_0}}{2}[/tex] to find out avg velocity.


edit: yes, it is a 3-d vector question
 
So...should I break A, V0, and R0 into their components form (like A=2i-4j-3k) and plug them into the kinematics equations?
 

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