The top of a flagpole sways back and forth in high winds. The function f(t) = 6sin(120 degrees t) represents the displacement, in centimetres, that the flagpole sways from vertical, where t is the time in seconds. The flagpole is vertical when f(t)=0. It is 6cm to the right of its resting place when f(t)=8, and 8cm to the left of its resting place when f(t)=-8. If the flagpole is observed for 2s, it appears to be farthest left when t=2.0s. Is this observation correct? Justify your answer using the appropriate calculations for the rate of change in displacement