The following polynomial function models the speed of a swimmer doing the breast stroke during one complete stroke, where t is the number of seconds since the start of the stroke.

S= -241t^7 + 1062t^6 -1871t^5 +1647t^4 - 737t^3 + 144t^2 -2.432t

A) At what time is the swimmer going the fastest?
B) How fast is the swimmer going?
C) How long does it take the swimmer to complete one full stroke?

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