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# Suppose the position of an object moving horizontally after t seconds is given by the follow function s=f(t), where s is measured in feet with s0

Suppose the position of an object moving horizontally after t seconds is given by the follow function s=f(t), where s is measured in feet with s>0 corresponding to positions to the right of the origin.

a. graph the function

b. find and graph the velocity function. When is object stationary, moving to the right, and moving to the left?

c determine the velocity and acceleration of the object at t=1

d determine the acceleration of the object when its velocity is zero

e on what intervals is the speed increasing?