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Acceleration

The displacem...

Question

The displacements is given by $x = 2 + 4 t + 5 t^{2}$ . Find the value of instantaneous acceleration?

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Solution

$x = 2 + 4 t + 5 t^{2}$

$⟹ v = \frac{d x}{d t} = 4 + 10 t$

$⟹ a = \frac{d v}{d t} = 10 m / s^{2}$

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