The corresponding minimum and maximum velocities that the rocket experiences are 23.195m/s and 37.249m/s.
The minimum value will be:
V(t) = 3t³ + (-24)t² + 54t
V(3.721) = 3(3.721)³ - 24(3.721)² + 54(3.721)
= 23.195m/s.
The maximum value will be:
V(.1613) = 3(1.613)³ - 24(1.613)² + 54(1.613)
= 37.249m/s
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