Position from Velocity with an Initial Value

Question

A particle's velocity is described by the function $$v(t) = 4 - t$$. If the particle's position at time $$t=1$$ is $$s(1)=3$$, which of the following equations represents the position function $$s(t)$$?

Accepted Answer

$$s(t)=3+\int_{1}^{t} (4 - r)\,dr$$

Answer

$$s(t)=\int_{1}^{t} (4 - r)\,dr$$

Answer

$$s(t)=3+\int_{t}^{1} (4 - r)\,dr$$

Answer

$$s(t)=3-\int_{1}^{t} (4 - r)\,dr$$

Position from Velocity with an Initial Value

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