CalcAB Particle Motion with Integrals

An object is moving a long a straight line.

Given $$s\left(t\right)=\int_0^tf\left(x\right)dx$$ and the graph of $$f\left(x\right)$$ is provided. What is $$f\left(x\right)$$ relation to $$s\left(t\right)$$ ?

An object is moving a long a straight line.

Given $$s\left(t\right)=\int_0^tf\left(x\right)dx$$ and the graph of $$f\left(x\right)$$ is provided. What is the particle's position at t = 2

An object is moving a long a straight line.

Given $$s\left(t\right)=\int_0^tf\left(x\right)dx$$ and the graph of $$f\left(x\right)$$ is provided. What is the velocity at t= 2

An object is moving a long a straight line.

Given $$s\left(t\right)=\int_0^tf\left(x\right)dx$$ and the graph of $$f\left(x\right)$$ is provided. When does the particle change directions? (select all that apply)

An object is moving a long a straight line.

Given $$s\left(t\right)=\int_0^tf\left(x\right)dx$$ and the graph of $$f\left(x\right)$$ is provided. If the particle's initial position is given by $$s\left(0\right)=-5$$ , what is the particle's position at t=6?

An object is moving a long a straight line.

Given $$s\left(t\right)=\int_0^tf\left(x\right)dx$$ and the graph of $$f\left(x\right)$$ is provided. What is the particle's acceleration at t = 8