Position, Velocity, and Acceleration using Integrals

AP Calculus AB· difficulty 2/5

With v(t)=2t+1v(t) = 2t + 1 and s(0)=4s(0) = 4, find s(3)s(3).

  • A

    1313

  • B

    1616

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  • C

    1010

  • D

    2222

Explanation

s(t)=t2+t+Cs(t) = t^2 + t + C. s(0)=4=Cs(0) = 4 = C. s(3)=9+3+4=16s(3) = 9 + 3 + 4 = 16.

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