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

7-76.

While chasing a rabbit, a greyhound starts from rest and accelerates at 6 ft/sec

^{2}until it reaches its maximum speed. Homework Help ✎How long does it take for the greyhound to reach its maximum speed of 30 feet per second?

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

After 1 second, the greyhound had a speed of 6 ft/sec.

After 2 seconds, her speed was 12 ft/sec.

After 3 seconds, ...

The position of the greyhound is a piecewise function.