A particle of charge $q$ and mass $m$ moves rectilinearly under the action of an electric field, $E=4-2x$, where $x$ is a distance from the point where the particle was initially at rest. Calculate the distance travelled by the particle till it comes to rest.

Q. A particle of charge $q$ and mass $m$ moves rectilinearly under the action of an electric field, $E=4-2x$, where $x$ is a distance from the point where the particle was initially at rest. Calculate the distance travelled by the particle till it comes to rest.

Q. A particle of charge $q$ and mass $m$ moves along the x-axis under the action of an electric field $E=k-cx$ where $c$ is a positive constant and $x$ is the distance from the point, where the particle was initially at rest. Caluculate:
(a) distance travelled by the particle before it comes to rest.
(b) acceleration at the moment, when it comes to rest.

Q. A particle of charge $q$ and mass $m$ moves rectilinearly under the action of an electric field $E=\alpha -\beta x$. Here, $\alpha$ and $\beta$ are positive constants and $x$ is the distance from the point where the particle was initially at rest. Then,

Q. A particle with specific charge $\frac{q}{m}$ moves rectilinearly due to an electric field $E=E_0-ax,$ where $a$ is a positive constant and $x$ is the distance from the point where the particle was initially at rest. The distance covered by the particle till the moment it comes to standstill is $\frac{n{E}_0}{a}$.The value of $n$ is

Q. A particle of charge $q$ and mass $m$ moves rectilinearly under the action of an electric field $E=\alpha -\beta x$. Here, $\alpha$ and $\beta$ are positive constants and $x$ is the distance from the point where the particle was initially at rest. Then,