An object that falls under gravity does not fall at a constant speed, but rather accelerates as it falls. When you say that the book fell with a speed of 1.10 m/s do you mean that it was given an initial downward "push" of 1.10 m/s, or do you mean that when the book hit the floor it was traveling at 1.10 m/s? If we assume the latter, then the distance an object travels is given by:
In this problem you know that

(the initial velocity) is 0, and

(its final velocity) is 1.10 ms, and a = g = 9.8 m/s^2. So you simply plug and chug to find the distance

.