(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A particle moves in the x-y plane having the components of its velocity to be:

[tex]x = 64\sqrt{3}t[/tex] and [tex]y = 64t - 16t^2[/tex],

and a force acting on this particle is proportional to its velocity. Find:

[tex]\int(F \cdot V)dt[/tex]

from t = 0 to t = 4. Give a physical meaning to your result.

2. Relevant equations

Not sure.

3. The attempt at a solution

I'm having a hard time getting started here, because I don't know what F is. I've got:

[tex]V = (64\sqrt{3}t)i + (64t - 16t^2)j[/tex],

right? But I don't know what to dot it with inside the integral. I'm not looking for a total solution here, I'm just wondering if someone can quickly tell me what exactly F is. I should be ok from there.

If F is proportional to V, do I just set

[tex]F = (64a\sqrt{3}t)i + (64at - 16at^2)j[/tex]

for some unknown constant a?

Thanks.

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# Homework Help: Integral of (Force * Velocity).

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