Calculating Impulse and Speed with a Variable Force

AI Thread Summary
The discussion revolves around calculating impulse and speed for a girl on roller skates subjected to a variable force defined by the equation F = A + Bt^2. The main questions posed are about deriving the expression for impulse from this force and determining the girl's speed at time t2, given that she starts from rest. To find the impulse, one must integrate the force over the time interval from t1 to t2. The speed at time t2 can be calculated using the impulse-momentum theorem, which relates impulse to the change in momentum. Understanding these concepts is crucial for solving the problem effectively.
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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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