If $v$ is the velocity of a body moving along the $x$-axis,then the acceleration of the body is .........

  • A
    $\frac{dv}{dx}$
  • B
    $v \frac{dv}{dx}$
  • C
    $x \frac{du}{dx}$
  • D
    $v \frac{dx}{dv}$

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Define acceleration,average acceleration,and instantaneous acceleration.

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$Assertion$ : Retardation is directly opposite to the velocity.
$Reason$ : Retardation is equal to the time rate of decrease of speed.

The velocity of a body depends on time according to the equation $v = \frac{t^2}{10} + 20$. The body is undergoing

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