The figure shows a velocity-time graph of a particle moving along a straight line Identify the region in which the rate of change of velocity $\left| {\frac{{\Delta \vec v}}{{\Delta t}}} \right|$ of the particle is maximum
$0$ to $2\,\,s$
$2$ $4\,\,s$
$4$ to $6 \,\,s$
$6$ to $8\,\, s$
The figure shows a velocity-time graph of a particle moving along a straight line If the particle starts from the position $x_0=-15\,m$ , then its position at $t=2\,s$ will be ........ $m$
A particle is moving with velocity $\vec v = K(y\hat i + x\hat j)$ where $K$ is a constant. The general equation for its path is
$List I$ describes four systems, each with two particles $A$ and $B$ in relative motion as shown in figure. $List II$ gives possible magnitudes of then relative velocities (in $ms ^{-1}$ ) at time $t=\frac{\pi}{3} s$.
Which one of the following options is correct?
A particle $(A)$ is dropped from a height and another particle $(B)$ is thrown in horizontal direction with speed of $5\; m/sec$ from the same height. The correct statement is