What is the magnitude of the velocity vector at time t = 8.3 s?

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Homework Help Overview

The problem involves a particle moving in the x-y plane with constant acceleration, requiring the calculation of the magnitude of the velocity vector at a specific time, t = 8.3 s. The initial conditions include the position vector, acceleration vector, and initial velocity vector.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Some participants suggest breaking the problem into two one-dimensional components, focusing on the independence of the x and y coordinates. Others mention using specific equations related to constant acceleration to find the velocity at the given time.

Discussion Status

Participants are engaging with the problem by discussing different perspectives on vectors and their applications in physics. Some have offered guidance on how to approach the calculations, while others express their personal feelings about the subject matter, indicating a mix of frustration and eventual acceptance of the topic.

Contextual Notes

One participant notes that they have successfully completed similar problems in a different context (CAPA), which may influence their confidence in addressing this problem.

SMS
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A particle moves in the x-y plane with constant acceleration. At time t = 0 s, the position vector for the particle is d = 2.2 m x + 8.2 m y. The acceleration is given by the vector a = 4.5 m/s2 x + 2.2 m/s2 y. The velocity vector at time t = 0 s is v = 3.3 m/s x - 4.3 m/s y. Find the magnitude of the velocity vector at time t = 8.3 s.

I never liked vectors :mad:
 
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SMS said:
I never liked vectors :mad:
No man. Change that attitude. Vectors are like, totally awesome :cool:
You'll appreciate them when you take linear algebra.

Anyway, simply view this problem as two one-dimensional problems.
The x- and y coordinates are independent.
Since the acceleration is constant, the formula for the speed as a function of time is:
[tex]v_x(t)=v_{x0}+a_xt[/tex]
And a similar equation for [itex]v_y(t)[/itex].

You can calculate
[tex]v(t)=\sqrt{v_x(t)^2+v_y^2(t)}[/tex]
with this.
 
Galileo said:
No man. Change that attitude. Vectors are like, totally awesome :cool:
You'll appreciate them when you take linear algebra.
No, they start rocking when taking physics :wink:
 
U guys are right

Vectors don"t suck. I think I was just frustrated with the rest of my work.

I am taking physics and that was a physics problem.

Any ways I got all the answers right on CAPA, so everything rocks! :-p

Time to :zzz: :zzz:
 

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