Calculating Impulse and Speed with a Variable Force

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SUMMARY

The discussion focuses on calculating impulse and speed resulting from a variable force expressed as F(t) = A + Bt², where A and B are constants. The impulse can be determined by integrating the force over the time interval from t1 = 0 s to t2. For a girl with mass m starting from rest, her speed at time t2 can be derived from the impulse-momentum theorem, leading to the expression v(t2) = (1/m) * ∫(A + Bt²) dt from 0 to t2.

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A net force given by the expression A + Bt^2, where A and B are constants, is applied to a girl on roller skates in the +x direction. The girl has a mass m. The force starts at t1 = 0 s and continues until t = t2.


Force= A + Bt^2
A and B are constants

I'm not sure how to approach this problem, I haven't had that much experience working with integrals.
 
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What's the question, so far I see only facts.
 
Oh sorry my bad.

a) what is the expression for the impulse resulting from the applied force?
b) if the girl is initially at rest, what is the expression for her speed at time t2?
 

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