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6-75.

v(t) = 3t2 − 6t + 3 = 3(t − 1)2

Visualize v(t). It is a concave up parabola; therefore there cannot be a local maximum. But Steven didn't ride his bicycle forever! You can still find the maximum velocity during the time interval when Steven was on his bike... Check the Endpoints!

Does v(t) ever equal 0 during the time interval of Steven's bike ride?