According to the Guinness Book of Records, the 1454-foot Sears Tower in
Chicago, Illinois, is the tallest building in the world. It has 110 floors and 18
elevators. The elevator traveling from one floor to the next does not travel at a
constant speed. Suppose the speed of an elevator in feet per second is given by a
function f(t) = -0.50t⁴+ 4t³ - 12t² + 16t, where t is the time in second.
a. Find the speed of the elevator at 1, 2, and 3 seconds.
b. It takes 4 seconds for the elevator to go from one floor to the next. Use
synthetic division to find f (4). Explain what it means.
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