I am a Calculus 1 student, and we're learning about antiderivatives. I've run into a problem I'm not sure how to solve.
A particle moves with acceleration defined by $a(t) = 3t+5$. Find the position $s(t)$ for the particle assuming that $s(0) = 4$ and $v(0) = -1$.
The question doesn't tell me what $s$ and $v$ represent and even if I knew what they were, I'm not sure I'd understand the question.
I assume $s$ and $v$ are functions, but assuming I'm supposed to find $\int(3t+5)dt$ at some point, I am not sure if $s$ or $v$ is $a'(t)$ or $a''(t)$.
What do I need to understand to solve this problem?