A 2.50 kg textbook is forced against a horizontal spring of negligible mass and force constant 250 N/m, compressing the spring a distance of 0.250 meter. When released, the textbook slides on a horizontal table with coefficient of kinetic friction of 0.30.

a) After the release of the textbook, what is the speed of the textbook when it has traveled a distance of 0.250 meter?

That is, what is the speed of the texbook when the spring has retured to its relaxed position?

b) As the textbook slides, at a certain speed it would stop compressing the spring. How far the textbook traveled between this speed and 1/2 of this speed?

That is, using the result in part a for the speed of the textbook, find the total distance the textbook traveled to reach 1/2 this speed.