A particle is projected vertically upwards from $O$ with velocity $v$ and a second particle is projected at the same instant from $P$ (at a height h above $O$) with velocity $v$ at an angle of projection $\theta$ . The time when the distance between them is minimum is
$\frac{h}{{2v\sin \,\theta }}$
$\frac{h}{{2v\cos \,\theta }}$
$h/v$
$h/2v$
The $x-t$ graph of a particle moving along a straight line is shown in figure The $v-t$ graph of the particle is correctly shown by
At what point of a projectile motion acceleration and velocity are perpendicular to each other
A stone is projected at angle $30^{\circ}$ to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be :
For a projectile the ratio of maximum height reached to the square of flight time is
An object is thrown along a direction inclined at an angle of ${45^o}$ with the horizontal direction. The horizontal range of the particle is equal to