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A $$100\ g$$ block is connected to a horizontal massless spring of force constant $$25.6\ N/m$$. As shown in Fig. (a), the block is free to oscillate on a horizontal frictionless surface. The block is displaced $$3\ cm$$ from the equilibrium position and at $$t=0$$, it is released from rest at $$x=0$$. It executes simple harmonic motion with the positive $$x-$$ direction indicated in Fig. (a)
The position-time $$(x-t)$$ graph of the motion of the block is as shown in Fig.
(b) Velocity of the block as a function of time can be expressed as
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Correct option is B. $$v=-48\sin \left(16t\dfrac{\pi}{3}\right)cm/s$$
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