PLEASE hurry with the answer **

Part B: Modelling with Sinusoidal Functions A part of a machine vibrates back and forth to a distance of 8mm from its resting position in each direction. In one minute the machine part oscillates 240 times. (1) Answer the following (i) Sketch one cycle of the function. Express the time variable in seconds. (ii) Create an equation to represent the function using a sine equation. Express the time variable in seconds. (iii) What is the period? Describe what it represents in this scenario. (iv) How far is the part from its resting position after 1.2 seconds? (2) Create and answer your own questions, based on the machine part scenario above, which display your knowledge of the following: (i) Identifying another characteristic of the function and explaining its significance in the scenario. (ii) Estimating (or calculating) the times the machine part is a certain distance from its resting position. (iii) The periodic OR symmetric nature of sinusoidal functions. Either is fine. You may include both. (iv) The fact that the same sinusoidal function can be represented with many different equations