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

Posted by Paavni Agarwal 4 years, 6 months ago

CBSE > Class 11 > Physics

1 answers

Aseem Mahajan 4 years, 6 months ago

As , dv/dt = a ,

$v = \int a dt$

$v = \int 2t + 3t^2$

$v = t^2 + t^3 + C_1$

Now displacement :

$x = \int v dt$

$x = \int t^2 + t^3 + C_1 \\ x = \dfrac{t^3}{3} + \dfrac{t^4}{4} + C_1 x + C_2$

2Thank You

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