A particle moves a distance $x$ in time $t$ according to equation $x = (t + 5)^{-1}$ The acceleration of particle is proportional to
A particle moves along $x$-axis as $x=4(t-2)+a(t-2)^2$. Which of the following statements is true?
The velocity $(v)$ of a particle moving along $x$-axis varies with its position $x$ as shown in figure. The acceleration $(a)$ of particle varies with position $(x)$ as
The $x$ and $y$ coordinates of a particle at any time $t$ are given by $x = 7t + 4{t^2}$ and $y = 5t$, where $x$ and $y$ are in metre and $t$ in seconds. The acceleration of particle at $t = 5\;s$ is.........$m/{s^2}$