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A monkey climbs up a slippery pole for 3...

A monkey climbs up a slippery pole for 3 seconds and susequently slips for 3 seconds. Its velocity at time t is given by v (t) = 2t (3-t) , 0 < t < 3 and v (t) = - t-3) (6-t) for 3 < t < 6 s I m/s. It repeats this cycle till it reaches the height of 20 m.
How many cycles (counting fractions) are required to reach the top?

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