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Motion problems (with integrals)

AP.CALC: CHA‑4 (EU), CHA‑4.C (LO), CHA‑4.C.1 (EK)

Problem

The velocity of a particle moving along the x-axis is v, left parenthesis, t, right parenthesis, equals, 3, t, plus, 2. At t, equals, 0, its position is 3.
What is the position of the particle, s, left parenthesis, t, right parenthesis, at any time t?
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