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Finding Average Velocity

The displacem...

Question

The displacement x of a particle moving along the x-axis at time t is given by $x = 2 t^{2} + 6 t$ .The velocity at any time t is

\frac{4 t + 6}{x}

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\frac{2 t - x}{x}

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4 t + 6

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\frac{2 t + 3}{x}

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Solution

The correct option is A $4 t + 6$
The displacement $x$ of a particle moving along the x-axis at time $t$ is given by
$x = 2 t^{2} + 6 t$
The velocity at any time is $v = \frac{d x}{d t}$
$v = \frac{d (2 t^{2} + 6 t)}{d t}$
$v = 4 t + 6$
The correct option is C.

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