স্প্রিং এর দোলন

The black graph pictured above represents the position-time graph for a spring-mass system oscillating with simple harmonic motion.
The colored, dashed graphs represent shapes of possible velocity time graphs for the same motion.
The vertical axis stands for position or velocity, but the scaling does not matter. The time axis is the same for all graphs.
Which colored graph best represents the possible velocity for the mass in this spring-mass system?

হানি নাটস

The given displacement graph of SHM represents the displacement $y$ as ,
$y=a \sin\omega t$ ,
where $a=$ amplitude ,
$\omega=$ angular frequency ,
therefore velocity ,
$v=dy/dt=a\omega\cos\omega t$
or $v=a\omega\sin(\omega t+\pi/2)$ ,
it is clear that velocity v is ahead of displacement by a phase angle of $\pi/2$ ,which is represented by green graph of velocity .

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Related question

চিত্রে m ভরের বস্তুটি অনুভূমিক ঘর্ষণহীন তলে সরল ছন্দিত গতিতে স্পন্দিত হচ্ছে। m = 10 kg, স্প্রিং ধ্রুবক = 30 Nm $^{-1}$

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