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Answer in Physics for Chi #224639

Author:
January 24th, 2023

The angular velocity is the first derivative of displacement by time:

“v(t)=x'(t)=2u00b72t^{2-1}-1u00b79t^{1-1}=4t-9,\nv(25)=4u00b725-9=91text{ rad/s}.”

The angular acceleration is the second derivative of displacement by time, or the first derivative of velocity by time:

“a(t)=v'(t)=4text{ rad/s}^2.”

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