A \(2.0-\mathrm{kg}\) cart is attached to a horizontal spring for which the spring constant is \(50 \mathrm{~N} / \mathrm{m}\). The system is set in motion when the cart is \(0.24 \mathrm{~m}\) from its equilibrium position, and the initial velocity is \(2.0 \mathrm{~m} / \mathrm{s}\) directed away from the equilibrium position.

(a) What is the amplitude of the oscillation? 

\((b)\) What is the speed of the cart at its equilibrium position?

(c) How would the answers to parts \(a\) and \(b\) change if the initial direction of motion were toward the cart's equilibrium position?