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a particle moves aling a straight line and its position at time t is given by s(t)=...

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Basic Math

aparticle moves aling a straight line and its position at time t isgiven by s(t)= (t^3)-13.5t^2+54t where s is measured in feet and tis seconds. consider t in the interval [0,infinity)

1) when is the particle moving in the positive direction? ( itried (0,3) U(6, infinity) but it didnt work)

2) what is the total distance the particle travels travelsbetween time 0 and time 7

3) when is the particle speeding up?

4) when is the particle slowing down?

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