A particle initially at rest moves along the $x$-axis. Its acceleration varies with time as $a=4\,t$. If it starts from the origin, the distance covered by it in $3\,s$ is $...........\,m$

  • A

    $12$

  • B

    $18$

  • C

    $24$

  • D

    $36$

Similar Questions

A body is moving according to the equation $x = at + b{t^2} - c{t^3}$ where $x = $ displacement and $a,\;b$ and $c$ are constants. The acceleration of the body is

Velocity-displacement graph of a particle moving in a straight line is as shown in figure

Acceleration versus time graph of a body starting from rest is shown in the figure. The velocity versus time graph of the body is given by

A particle moving along $x-$axis has acceleration $f$, at time $t$ , given by $ f=f_0$$\left( {1 - \frac{t}{T}} \right)$, where $f_0$ and $T$ are constants. The particle at $t=0$ has zero velocity . In the time interval between $t=0$ and the instant when $f=0$ , the particle 's velocity $(v_x)$ is 

  • [AIPMT 2007]

A particle is moving with speed $v= b\sqrt x$ along positive $x-$ axis. Calculate the speed of the particle at time $t = \tau$ (assume that the particle is at origin at $t = 0$ ).

  • [JEE MAIN 2019]