The relation between time $t$ and distance $\mathrm{x}$ is $\mathrm{t}=a \mathrm{x}^2+\mathrm{bx}$ where…

The relation between time $t$ and distance $\mathrm{x}$ is $\mathrm{t}=a \mathrm{x}^2+\mathrm{bx}$ where $\mathrm{a}$ and $\mathrm{b}$ are constants. The acceleration is
  1. $-2 a b v^2$
  2. $2 b v^3$
  3. $-2 a v^3$
  4. $2 a v^2$

Solution

$ t=a x^2+b x $ by differentiating acceleration $=-2 a v^3$

Asked in: JEE Main 2005

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