calculus

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Given the position function of an object moving in a straight line, measured in meters, from the origin. Describe the motion in all phases throughout the duration of the motion from time t=0 to t=11 sec.

s(t)=t^3 - 15t^2 + 50t

State when the object is moving forward or backwards, towards or away from the origin, speeding up or slowing down, when at rest or stationary, where it changes direction and then what the total distance travelled was during the eleven second trip as well as the fastest velocity towards and then backwards.

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