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While chasing a rabbit, a greyhound starts from rest and accelerates at ft/sec2 until it reaches its maximum speed.

  1. How long does it take for the greyhound to reach its maximum speed of ft/sec?

    After second, the greyhound had a speed of ft/sec.
    After seconds, its speed was ft/sec.
    After seconds, ...

  2. How far did the greyhound have to travel to catch the rabbit if it took a total of seconds to catch it?

    The position of the greyhound is a piecewise-defined function.