I have a question for calculus two regarding a particle on a line.

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> Question:
>  A particle moves along a line with acceleration $a(t)=−1(t+3)~2\text{ft}/\text{sec}^2$. Find the distance traveled by the particle during the time interval $[0,1]$, given that the initial velocity $v(0)$ is $13~\text{ft/sec}$.
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I think I'm supposed to use integrals, but I'm quite sure how to go about it. If anyone could help me out I'd be grateful, thank you <3