A cart is moving horizontally along a straight line with a constant speed of $30\,m / s$. A projectile is to be fired from the moving cart in such a way that it will retum to the cart (at the same point on cart) after the cart has moved $80\,m$. At what velocity (relative to the cart) must be projectile be fired? (Take $=10\,m / s ^2$ )

A body of mass $m$ is thrown upwards at an angle $\theta$ with the horizontal with velocity $v$. While rising up the velocity of the mass after $ t$ seconds will be

A large number of bullets are fired in all directions with same speed $v$. What is the maximum area on the ground on which these bullets will spread

A ball is projected from a point $O$ as shown in figure. It will strike the ground after ........ $s$ $\left(g=10 \,m / s ^2\right)$

For a projectile the ratio of maximum height reached to the square of flight time is

An arrow is shot into air. Its range is $200\,m$ and its time of flight is $5\,s$. If $g=10\,m / s ^2$, then horizontal component of velocity and the maximum height will be respectively