A transverse wave travels on a string in the positive x-direction. The tension in the string is 200 N and the linear density of the string is 5.0 g/m. A high speed camera is focused on a 10 mm long segment of the string at a specific location along the string. The camera films at a rate of 1000 frames per second. In one frame the segment is displaced up 7.0 mm. In the next frame the same segment is displaced up 5.0 mm. For the following quantities, compute approximate values for the instant of time seen in these frames.

(a) The particle velocity of the segment (including direction).

(b) The slope of the segment (including sign).

(c) The total kinetic energy of the segment.

(d) The total potential energy of the segment.