A body starts from the origin and moves along the X-axis such that the velocity at any instant is given by \(\{4t^{1} - 2\pi\}\) , where t is in sec and velocity in rrrds . What is the acceleration of the particle, when it is 2 m from the origin
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\(\nu \quad 4t^{3} - 2t\) (given) \(\mathrm{H - O - H}\) \(a - \frac{dv}{dt} - 12t^{2} - 2\)
and \(x - \int y \, dt - \int \{4t - 20\} dt - t^3 \cdot t^2\)
When particle is at 2 m from the origin \(r^{3} - r^{2} \quad 2\)
⇒ ⇒ t^{3} - t^{2} - 2D \(\left(t^{2} - 2\right)\left(t^{2} + 1\right) = 0\) ⇒ ⇒ \(t = \sqrt{2} \sec\)
Acceleration at \(t = \sqrt{2} \sec\) given by,
\(p \quad 12t^{2} - 2\) \(=12\sqrt{2} - 2\) = \(22\,m/s^{2}\)
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