Question

The position of the particle is given by $x=(3t^2-e^t)$ in $\text{m}$. The velocity $\left(\text{in m/s}\right)$ of the particle as a function of time $t$ is

• A. $2t-e^t$
• B. $3t+e^t$
• C. $6t-e^t$
• D. $6t^2-e^t$

Answer 1

The correct option is C $6t-e^t$

As we know that the velocity of the particle as a function of time is given by
$\frac{dx}{dt}=\frac{d(3t^2-e^t)}{dt}$
$\Rightarrow v=6t-e^t$