### Home > CALC3RD > Chapter Ch7 > Lesson 7.2.2 > Problem 7-69

7-69.

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

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.

Afterseconds, its speed was ft/sec.

Afterseconds, ... 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.