The displacement x of a particle along a straight line at time t is given by- x- a 0 - a 1 t - 2 - a 2 - 3 t 2- The acceleration of the particle is

The correct option is C 2 a _ 2 / 3 Velocity =v= dx dt = a _ 1 2 #160;+ 2a _ 2 t 3 #160; Acceleration = dv dt = 2a _ 2 3 #160; ...

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Acceleration

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Question

The displacement $x$ of a particle along a straight line at time $t$ is given by: $x = a_{0} + \frac{a_{1} t}{2} + \frac{a_{2}}{3} t^{2}$ . The acceleration of the particle is

\frac{a_{2}}{3}

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\frac{2 a_{2}}{3}

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\frac{a_{1}}{2}

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a_{0} + \frac{a_{2}}{3}

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(x)

t

x = a_{0} + \frac{a_{1}}{2} t + \frac{a_{2}}{3} t^{2}

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

x

t

x = a_{0} + a_{1} t + a_{2} t^{2}

x

t

x = \frac{a_{1}}{2} t + \frac{a_{2}}{3} t^{2}

x

t

x = a_{0} + a_{1} t + a_{2} t^{3}

a

t = 5

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