A string supports a disturbance described by y=0.05sin(3x+15t), where x is in metres and t in seconds. Identify the direction of propagation and the speed of the wave.
(a) Positive x\!-direction, 5ms−1
(b) Positive x\!-direction, 7.2ms−1
(c) Negative x\!-direction, 5ms−1
(d) Negative x\!-direction, 0.2ms−1