Question

A particle moves along the x-axis such that its co-ordinates $\left(x\right)$ varies with time $\left(t\right)$ according to the expression, $x=2-5t+6t^2$, where $x$ is in metres and $t$ is in second. The initial velocity of the particle is

• A. $-5m/s$
• B. $-3m/s$
• C. $6m/s$
• D. $2m/s$

Answer 1

The correct option is A $-5m/s$

$x=2-5t+6t^{2}v=\frac{dx}{dt}=-5+12t$

For, $t=0\sec ,$

$v=-5+12\left(0\right)=-5m/s$