Given below are two statements : one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$ : When a body is projected at an angle $45^{\circ}$, it's range is maximum.
Reason $R$ : For maximum range, the value of $\sin 2 \theta$ should be equal to one.
In the light of the above statements, choose the correct answer from the options given below :
Both $A$ and $R$ are correct but $R$ is NOT the correct explanation of $A$
Both $A$ and $R$ are correct $R$ is the correct explanation of $A$
$A$ is true but $R$ is false
$A$ is false but $R$ is true
A wheel of radius $R$ is trapped in a mud pit and spinning. As the wheel is spinning, it splashes mud blobs with initial speed $u$ from various points on its circumference. The maximum height from the centre of the wheel, to which a mud blob can reach is
A projectile is thrown into space so as to have a maximum possible horizontal range of $400$ metres. Taking the point of projection as the origin, the co-ordinates of the point where the velocity of the projectile is minimum are
A projectile crosses two walls of equal height $H$ symmetrically as shown The height of each wall is ........ $m$
A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is $v$, the total area around the fountain that gets wet is :
Four bodies $P, Q, R$ and $S$ are projected with equal velocities having angles of projection $15^o , 30^o , 45^o $ and $60^o $ with the horizontal respectively. The body having shortest range is