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Motion Under Variable Acceleration

The displacem...

Question

The displacement x of a particle along a straight line at time t is given by $x = a_{0} + a_{1} t + a_{2} t^{2}$ .The acceleration of the particle is

$a_{0}$

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$a_{1}$

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$2 a_{2}$

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$a_{2}$

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Solution

The correct option is C
$2 a_{2}$

We have

$v = \frac{d x}{d t} = a_{1} + 2 a_{2} t$

$a = \frac{d v}{d t} = 2 a_{2}$

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