The velocity of a particle is given by the, equation $v(x)$ $=3 x^2-4 x$, where ' $x$ ' is the distance…

The velocity of a particle is given by the, equation $v(x)$ $=3 x^2-4 x$, where ' $x$ ' is the distance covered by the particle. The expression for its acceleration is
  1. $(6 x-4)$
  2. $6\left(3 x^2-4 x\right)$
  3. $\left(3 x^2-4 x\right)(6 x-4)$
  4. $(6 x-4)^2$

Solution

Velocity, $v=3 x^2-4 x$ $\therefore \quad$ Acceleration, $a=v \cdot \frac{d v}{d x}=\left(3 x^2-4 x\right) \frac{d}{d x}\left(3 x^2-4 x\right)$ $=\left(3 x^2-4 x\right)(6 x-4)$

Asked in: AP EAMCET 2024 (21 May Shift 2)

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