Questions  

 For motion of an object along the x-axis, the velocity v depends on the displacement x as v = 3x2 - 2x, then what is the acceleration at x = 2 m.

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By Expert Faculty of Sri Chaitanya
a
48 ms-2
b
80 ms-2
c
18 ms-2
d
10 ms-2
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detailed solution

Correct option is B

Given v=3x2-2x; differentiating v, we get  dvdt=(6x-2)dxdt=(6x-2)v ⇒  a=(6x-2)3x2-2x Now put x=2m ⇒  a=(6×2-2)3(2)2-2×2=80 ms-2

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