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

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48 ms-2

80 ms-2

18 ms-2

10 ms-2

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detailed solution

Correct option is B

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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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.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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