Sketch curves, to the same scale, of kinetic energy versus time for an elastic collision between cart A, originally moving with speed \(v\), and cart \(\mathrm{B}\), originally at rest, when

(a) \(m_{\mathrm{b}}=m_{\mathrm{A}}\),

(b) \(m_{\mathrm{b}}=2 m_{\mathrm{A}}\), and

(c) \(m_{\mathrm{b}}=m_{\mathrm{A}} / 2\).