Question: Suppose an object's position function is given by s(t)=t3-t. Position is measured in feet and time in seconds.(a) At time t=.25, how fast was the

Suppose an object's position function is given by s(t)=t3-t. Position is measured in feet and time in seconds.(a) At time t=.25, how fast was the object going? In which direction? Was it speeding up or slowing down?(b) At time t=2, how fast was the object going? In which direction? Was it speeding up or slowing down?(c) At what time(s), if any, was the object moving at a speed of 10 feet per second?(d) At what time(s), if any, did the object change directions? Where was it when it did so?

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