If velocity of particle is given by $v=2t^4$, then its acceleration $\frac{dv}{dt}$ at any time $t$ will be given by

Q. If velocity of particle is given by $v=2t^4$, then its acceleration $\frac{dv}{dt}$ at any time $t$ will be given by

Q. If a function is given by $v=2t^4$, then its first derivative w.r.t. $t$ will be given by

Q. If the displacement of particle at any time $t$ is given by $s=ut+\frac{1}{2}a{t}^2$ where $u$ is initial velocity (constant) and $a$ is acceleration (constant) then, velocity of particle at any time $t$ will be

Q. Statement -1 : Let $v$ be the speed of particle at any time $t$. If $\frac{dv}{dt}$ is a non - zero constant then speed of particle may be minimum at some time.
Statement -2 : The speed $v$ of a moving particle may be minimum at time $t=t_0$ when $v=0$. The speed $v$ of a moving particle may also be minimum at time $t=t_0$ when $\frac{dv}{dt}=0$ and $\frac{d^{2}v}{d{t}^2}=$ positive.

Q. If the displacement of particle at any time $t$ is given by $s=ut+\frac{1}{2}a{t}^2$ where $u$ is initial velocity (constant) and $a$ is acceleration (constant) then, velocity of particle at any time $t$ will be