Are the following collisions (for motion along the \(x\) axis) elastic, inelastic, or totally inelastic?

(a) A red billiard ball moving at \(v_{\mathrm{r} x, i}=+2.2 \mathrm{~m} / \mathrm{s}\) hits a white billiard ball initially at rest. After the collision, the red ball is at rest and the white ball moves at \(v_{\mathrm{w} x, \mathrm{f}}=+1.9 \mathrm{~m} / \mathrm{s}\).

(b) Cart 1 moving along a track at \(v_{1 x, i}=+1.2 \mathrm{~m} / \mathrm{s}\) hits cart 2 initially at rest. After the collision, the two carts move at \(v_{1 x, f}=+0.4 \mathrm{~m} / \mathrm{s}\) and \(v_{2 x, \mathrm{f}}=+1.6 \mathrm{~m} / \mathrm{s}\).

(c) A piece of putty moving at \(v_{\mathrm{p} x, \mathrm{i}}=\) \(+22 \mathrm{~m} / \mathrm{s}\) hits a wooden block moving at \(v_{\mathrm{b} x, \mathrm{i}}=+1.0 \mathrm{~m} / \mathrm{s}\). After the collision, the two move at \(v_{x, f}=+1.7 \mathrm{~m} / \mathrm{s}\).