Question: The displacement of a mass is given by the function y = sin 3t. The tasks are to: a) Draw a graph of the

The displacement of a mass is given by the function y =

The displacement of a mass is given by the function y = sin 3t. The tasks are to: a) Draw a graph of the displacement y(m) against time t(s) for the time t = 0s to t = 2.s. b) Identify the position of any turning points and whether they are maxima, minima or points of inflexion. c) Calculate the turning points of the function using differential calculus and show which are maxima, minima or points of inflexion by using the second derivative. Compare your results from parts b and c.

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