### Home > CALC > Chapter 7 > Lesson 7.2.2 > Problem7-76

7-76.

While chasing a rabbit, a greyhound starts from rest and accelerates at $6$ ft/sec$^{2}$ until it reaches its maximum speed.

1. How long does it take for the greyhound to reach its maximum speed of $30$ feet per second?

After $1$ second, the greyhound had a speed of $6$ ft/sec.
After $2$ seconds, her 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 function.