[tex]x(t)=Acos(ωt+ϕ)\\v(t)=-ωAsin(ωt+ϕ)[/tex]
I think my physics professor said in one of the lectures that: after setting up your position function by finding amplitude, angular speed, and solving for ϕ by setting t=0 and using the x(0) value given in the question, you need to to set t=0 in the velocity function and use the v(0) value to make sure your ϕ value is correct.
I'm confused. Why is this necessary?
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