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7-69.

While chasing a rabbit, a greyhound starts from rest and accelerates at $6$ ft/sec2 until it reaches its maximum speed. Homework Help ✎Homework Help ✎

1. How long does it take for the greyhound to reach its maximum speed of $30$ ft/sec?

After 1 second, the greyhound had a speed of 6 ft/sec.
After 2 seconds, its speed was 12 ft/sec.
After 3 seconds, ...

2. How far did the greyhound have to travel to catch the rabbit if it took a total of $8$ seconds to catch it?

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