The velocity time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in 15 s and (ii) the time at which the car will catch up with the scooter are, respectively.

The figure shows the total acceleration and velocity of a particle moving clockwise in a circle of radius $2.5 \mathrm{m}$ at a given instant of time. At this instant, find $\left(\mathrm{i}\right)$ its radial acceleration,$\left(\mathrm{ii}\right)$ the speed of the particle and $\left(\mathrm{iii}\right)$ its tangential acceleration.

Two identical discs of the same radius $R$ are rotating about their axes in opposite directions with the same constant angular speed $\omega$. The disc is in the same horizontal plane.At time $t\mathit{ }= 0$, the points $P$ and $Q$ are facing each other as shown in the figure. The relative speed between the two points $P$ and $Q$ is $v_{\mathit{r}}$ as a function of times best represented by