Let s(t) be a position function with velocity function v(t) = s'(t).
(a) If s(9) = 4 and , what is s(12)?
(b) If s(3) = -2 and , what is s(5)?
Answer
We know that
Plugging in the values we were given for s(9) and for the integral, we get
6 = s(12) – 4
so s(12) = 10.