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Mathematics, 28.10.2019 06:31 genyjoannerubiera

An object has a constant acceleration of 40 ft/sec2, an initial velocity of −20 ft/sec, and an initial position of 10 ft. find the position function, s(t), describing the motion of the object.
i'm all the way up to here, what do i do now?
a(t)=40 v(0)=-20 s(0)=10
the integral of 40 dt, antiderivative is v(t)=40t+c
40(0)+c=-20
c=-60
s(t)=integral of (40(t)-60)dt
antiderivative is 20t^2-60t+c

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