The horizontal displacement of a point on an oscillating pendulum is given by the equation d[t) = 3 sin f, where t is in seconds and d is in inches.
a. Graph d(t) = 3 sin t on 0 ≤ t ≤ 4π.
b. We consider the rest position to be when the displacement is zero (d(t) = 0). Find the number of times the point is in the rest position.
c. What is the maximum displacement?
d. What is the relationship between the maximum displacement and the amplitude?
e. What is the displacement to the nearest tenth of an inch at t = 2.3 seconds? Plot the point on the graph that corresponds to this question.
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