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Question

Question: The displacement \(x\) of a particle along a straight line at time \(t\) is given by \(x = a _ ...

The displacement xx of a particle along a straight line at time tt is given by x=a0+a1t+a2t2x = a _ { 0 } + a _ { 1 } t + a _ { 2 } t ^ { 2 } . The acceleration of the particle is

A

a0a _ { 0 }

B

a1a _ { 1 }

C

2a22 a _ { 2 }

D

a2a _ { 2 }

Answer

2a22 a _ { 2 }

Explanation

Solution

Acceleration =d2xdt2=2a2= \frac { d ^ { 2 } x } { d t ^ { 2 } } = 2 a _ { 2 }