Physics

Physics

Problem

For a particle, velocity varies with time as v(t)=5sin⁡(2t)v(t)=5\sin(2t), where vv is in m s−1\text{m s}^{-1} and tt in s\text{s}. Determine the instantaneous acceleration at t=π4 st=\dfrac{\pi}{4}\,\text{s}. a) 10 m s−210\,\text{m s}^{-2} b) 0 m s−20\,\text{m s}^{-2} c) 5 m s−25\,\text{m s}^{-2} d) 7.07 m s−27.07\,\text{m s}^{-2}

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