A harmonic wave is made to travel along a string when you move your hand up and down. The wave has a specific period \(T_{1}\), wavelength \(\lambda_{1}\), amplitude \(A_{1}\), and speed \(c_{1}\), and also causes a certain transverse speed \(v(x, t)\) of the particles that make up the rope. If you repeat this upand-down motion, this time completing the same motion twice as fast as before, what happens to the \((a)\) period,

(b) wavelength,

(c) amplitude,

(d) speed, and

(e) transverse speed?