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Question

A particle is moving along x-axis whose instantaneous speed is v=1089x2. The acceleration of the particle is

A
9x m/s2
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B
18x m/s2
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C
9x2 m/s2
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D
None of these
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Solution

The correct option is A 9x m/s2
Given,
v=1089x2
a=dvdt
a=dvdx.dxdt
=d(1089x2)dx.dxdt
a=(18x)21089x2.1089x2=9x m/s2

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