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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 = 2 m.

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a

48 ms-2

b

80 ms-2

c

18 ms-2

d

10 ms-2

answer is B.

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Detailed Solution

dvdt=(6x−2)dxdt=(6x−2)v⇒a = 6x − 23x2− 2x. Now put x = 2m a= 6 × 2 − 2322− 2 × 2 = 80 ms−2
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