A projectile is thrown into space so as to have the maximum possible horizontal range equal to $400 \mathrm{m}$. Taking the point of projection as the origin, the coordinates of the point where the velocity of the projectile is minimum are

The figure shows a small wheel fixed coaxially on a bigger one of double radius. The system rotates about the common axis. The strings supporting $A$ and $B$ do not slip on the wheels. If $x$ and $y$ are the distances traveled by $A$ and $B$ in the same time interval, then,

The figure shows the velocity and acceleration of a point-like body, at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of the trajectory of the body is,

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.