Momentom question. But Hard one:O

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The discussion revolves around calculating the final velocity of a 2 kg object after 4 seconds, given an initial velocity of 2 m/s and an impulse of 4. The impulse-momentum theorem is applied, leading to the equation I = Pf - Pi, which simplifies to vf = vi + (I/m). Substituting the values, the final velocity is determined to be 4 m/s. Confusion arises due to the absence of this value in the multiple-choice options provided. Ultimately, the correct final velocity is confirmed as 4 m/s.
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Homework Statement


The only force acting on a 2 kg object moving along the x-axis is shown. If the velocity Vx is 2 m/s at t=0, what is the velociity at t=4 s ?


Homework Equations


P= mv


The Attempt at a Solution


Area under the curve is the Impulse, which is Pf - Pi and it's equal to 4
That indicates that p at t=4 - p at t=0 = 4

However, given that v at =0 is 2
By the sub. of the formula we get that P at t=0 is 4 and therefore P at t=4 is 0

Is that Correct ?
 
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By the sub. of the formula we get that P at t=0 is 4 and therefore P at t=4 is 0

No. P at t=4 becomes 8
 
Ya, that's ubsolutly right. But what confuses me is that it is a multiple choise ques.

And the choises are
4
5
6
7
2
There isn't any 8 ??
 
You have to post the figure or graph whichever is given in the problem.
 
Okay, I might just be very, very confused but:

I = Pf - Pi = mvf - mvi

I/m = vf - vi

vf = vi + ( I/m )

You say vi = 2, I = 4 & m = 2

Then vf = 2 + (4/2) = 4 ?

So yes p(4) = 8, but p=mv & you want to find v..
 
Uha ,

That's right..

Then the velocity becomes 4 ..

Thanks
 
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