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.........$m/{s^2}$

When acceleration and average acceleration are equal for moving object ?

The distance $x$ covered by a particle in one dimensional motion varies with time $t$ as $\mathrm{x}^{2}=\mathrm{at}^{2}+2 \mathrm{bt}+\mathrm{c.}$ If the acceleration of the particle depends on $\mathrm{x}$ as $\mathrm{x}^{-\mathrm{n}},$ where $\mathrm{n}$ is an integer, the value of $\mathrm{n}$ is

Displacement $(x)$ of a particle is related to time $(t)$ as:

$x = at + bt^2 -ct^3$

where $a, b$ and $c$ are constants of the motion. The velocity of the particle when its acceleration is zero is given by

If the velocity-time graph has the shape $AMB$, what would be the shape of the corresponding acceleration-time graph ?

A particle moves towards east with velocity $5\, m/s$. After $10$ seconds its direction changes towards north with same velocity. The average acceleration of the particle is