5. A grade 11 math student sees children are playing on a teeter totter and notices...

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5. A grade 11 math student sees children are playing on a teeter totter and notices that the motion is periodic. He asks their permission to take measurements for a class assignment. The minimum height to the ground is 20 cm and the maximum height the teeter totter reaches is 140 cm. The time to travel from the minimum height to the maximum height is 2 seconds. a) Start at the minimum value and sketch a height vs. time graph for the first 8 seconds. Label both axes and the key points for one complete cycle. b) Determine the equation of a sinusoidal function that models the height, h(t), in metres as a function of time, t, in seconds. 5. A grade 11 math student sees children are playing on a teeter totter and notices that the motion is periodic. He asks their permission to take measurements for a class assignment. The minimum height to the ground is 20 cm and the maximum height the teeter totter reaches is 140 cm. The time to travel from the minimum height to the maximum height is 2 seconds. a) Start at the minimum value and sketch a height vs. time graph for the first 8 seconds. Label both axes and the key points for one complete cycle. b) Determine the equation of a sinusoidal function that models the height, h(t), in metres as a function of time, t, in seconds.