A body starts from rest from the origin with an acceleration of $6\,m/{s^2}$ along the $x-$axis and $8\,m/{s^2}$ along the $y-$axis. Its distance from the origin after $4 \,seconds$ will be........$m$

The position of a particle moving along the $X-$axis at certain times is given below :Which of the following describes the motion correctly

$\begin{array}{|c|c|c|c|c|} \hline t( s ) & 0 & 1 & 2 & 3 \\ \hline x ( m ) & -2 & 0 & 6 & 16 \\ \hline \end{array} $

Figure shows the position of a particle moving on the $x$-axis as a function of time

A particle experiences a constant acceleration for $20\, seconds$ after starting from rest. If it travels a distance $s_1$ in the first $10\, seconds$ and distance $s_2$ in the next $10\, seconds$, then :-

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

An object, moving with a speed of $6.25\, m/s$, is decelerated at a rate given by

$\frac{{dv}}{{dt}} =  - 2.5\sqrt v$

where $v$ is the instantaneous speed. The time taken by the object, to come to rest, would be ........$s$