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Acceleration in 2D

For motion of...

Question

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

m s^{- 2}

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m s^{- 2}

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m s^{- 2}

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m s^{- 2}

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Solution

The correct option is B 80 $m s^{- 2}$
$v = 3 x^{2} - 2 x$
$a = v \frac{d v}{d x} = (3 x^{2} - 2 x) (6 x - 2) = (12 - 4) (12 - 2) = 80 m / s^{2}$

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