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The position of an object moving horizontally after t seconds is given by the function s...

The position of an object moving horizontally after t seconds is given by the function s =12t-t^3 ​, for t > 0​, where s is measured in​ feet, with s g> 0 corresponding to positions right of the origin.

a. When is the object​ stationary, moving to the​ right, and moving to the​ left?

b. Determine the velocity and acceleration of the object at t=4.

c. Determine the acceleration of the object when its velocity is zero.

d. On what intervals is the speed​ decreasing?

Math   Calculus   
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