Question

A few students finished up their NCVPS work early and are playing skip
rope. As the rope rotates it is observed that its maximum height is 2.75m
after 1 second. The first minimum height of 0.25m occurs 2 seconds after
the maximum height. Sketch a graph to model the situation.

Answer 1

Answer:

  see attached

Step-by-step explanation:

The graph can be shown as a sine wave with a maximum of 2.75 m and a minimum of 0.25 m. Its period will be twice the time from maximum to minimum, so will be 2×2 seconds = 4 seconds. The midline of the graphed function will be halfway between the extremes, at 1.5 m.

The equation of the graph will put the first peak at 1 second, so if a cosine function is used, it will have a horizontal shift of 1 second to the right.