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Find out the velocity and displacement …

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Find out the velocity and displacement covered by the particle if the particle moving with an Acceleration of a=2t+3t^2at any instant t
  • 1 answers

Aseem Mahajan 4 years, 2 months ago

As , dv/dt = a ,
$$v = \int a dt$$
$$ v = \int 2t + 3t^2 $$
$$v = t^2 + t^3 + C_1$$

Now displacement :
$$x = \int v dt $$
$$x = \int t^2 + t^3 + C_1 \\ x = \dfrac{t^3}{3} + \dfrac{t^4}{4} + C_1 x + C_2$$
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