Displacement of a body is given by $x = 1 + 3 t + 2 t^{2}$ . The value of instantaneous acceleration is given by?

4

units

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6

units

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5

units

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2

units

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Solution

The correct option is A $4$ units
Given displacement $x = 1 + 3 t + 4 t^{2}$
Differentiating the above equation with respect to time we get velocity
$v = \frac{d x}{d t} = 3 + 4 t$
Again differentiating the above equation with respect to time we get acceleration $a = \frac{d v}{d t} = 4$

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