A particle moves along X-axis in such a wa

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A particle moves along $X-$axis in such a way that its coordinate $X$ varies with time $t$ according to the equation $x = (2 - 5t + 6{t^2})\,m$. The initial velocity of the particle is.......$m/s$

A

$ - 5$

B

$6$

C

$ - 3$

D

$3$

A particle moves along $X-$axis in such a way that its coordinate $X$ varies with time $t$ according to the equation $x = (2 - 5t + 6{t^2})\,m$. The initial velocity of the particle is.......$m/s$

The velocity of the particle is

$\frac{{dx}}{{dt}} = \frac{d}{{dt}}(2 - 5t + 6{t^2}) = (0 - 5 + 12t)$

For initial velocity $t = 0$, hence $v = - 5\;m/s$.