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Q.

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 = 2m.

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a

48ms-2

b

80ms-2

c

18ms-2

d

10ms-2

answer is B.

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Detailed Solution

V = 3x2 - 2xdvdt=6xdxdt−2dxdta = 6 v x - 2 vwhen x = 2 v = 8 m/sa = 6 x 8 x 2 - 2 x 8= 96 -16 = 80 m/s2
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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 = 2m.