A particle is moving with the given data. Find the position of the particle. A particle is moving with the given data. Find the position of the particle. a(t) = t2 − 8t + 4,  s(0) = 0,  s(1) = 20   s(t)=_____________?

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`a(t) = t^2-8t+4`

The derivative of velocity function v(t) is the acceleration function.

`(dv(t))/dt = a(t)`

`dv(t) = a(t)dt`

`intdv(t) = inta(t)dt`

`v(t) = inta(t)dt`

 

`v(t) = int(t^2-8t+4)dt`

`v(t) = t^3/3-4t^2+4t+C1` where C1 is a constant.

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