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

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The discussion revolves around calculating the magnitude of a particle's velocity vector at time t = 8.3 s, given its initial position, acceleration, and velocity. Participants emphasize that the problem can be simplified by treating the x and y components independently due to constant acceleration. The relevant formulas for velocity in each direction are provided, leading to the overall velocity magnitude calculation. Despite some initial frustration with vectors, the participants express a growing appreciation for their importance in physics. The conversation concludes with a positive note about successfully solving related problems.
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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:
v_x(t)=v_{x0}+a_xt
And a similar equation for v_y(t).

You can calculate
v(t)=\sqrt{v_x(t)^2+v_y^2(t)}
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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