A travelling harmonic wave on a string is described by `y(x,t)=7.5sin(0.0050x +12t_pi//4)` (a) what are the displacement and velocity of oscillation of a point at `x=1cm, ` and `t=1s` ? I sthis velocity equal to the velocity of wave propagation ?
(b) Locate the point of the string which ahve the same transverse displacement and velocity as `x=1cm` point at `t=2s, 5s and ` 11s.

Explanation

To solve the problem step by step, we will break it down into parts (a) and (b) as given in the question.

### Part (a): Displacement and Velocity at x = 1 cm and t = 1 s

1. **Given Wave Equation**:
\[ y(x,t) = 7.5 \sin(0.0050x + 12t + \frac{\pi}{4}) \]
...