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Acceleration

The displacem...

Question

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

a_{1}

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a_{2}

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2 a_{2}

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3 a_{2}

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Solution

The correct option is C $2 a_{2}$
Velocity $= v = \frac{d x}{d t} = a_{1} + 2 a_{2} t$
Acceleration $= \frac{d v}{d t} = 2 a_{2}$

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