A continuous sinusoidal longitudinal wave is sent along a very long coiled spring from an attached oscillating source. The wave travels in the negative direction of an x axis; the source frequency is 25 Hz; at any instant the distance between successive points of maximum expansion in the spring is 24 cm; the maximum longitudinal displacement of a spring particle is 0.30 cm; and the particle at x = 0 has zero displacement at time t = 0. If the wave is written in the form s(x, t) = sm cos (kx + wt), what are

(a) sm,

(b) k,

(c) w,

(d) The wave speed, and

(e) The correct choice of sign in front of w?