A block of mass $$\(m\)$$ oscillates vertically on a spring, as shown in Fig. 4.1. The acceleration a of the block varies with displacement $$\(x\)$$ from its equilibrium position, as shown in Fig. 4.2. The amplitude of the oscillations is $$\(3 Y\)$$ and the maximum acceleration is $$\(2 A\)$$. The period of the oscillations is 0.75 s and the value of $$\(3 Y\)$$ is 1.8 cm . $$\[ \text { Determine an expression for } x \text { in terms of time } t \text {, where } x \text { is in } \mathrm{cm} \text { and } t \text { is in seconds. } \]$$ $$\[ x= \]$$ .....................................................

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