A particle is moving with the given data. find the position of the particle.

Answer

I'm assuming we are looking for the position s(t)

So first we take the antiderivative to get velocity function:

Now take antiderivative again to get position function:

Since s(0) = 0,

Hence, D = 0, so we can eliminate D from our position
function.

Now since s(1)=20,

Therefore,

this was taken from the cramster chapter answers. Good luck:)