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 $45^{\circ}$, its 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:
(1) $A$ is false but $R$ is true
(2) $A$ is true but $R$ is false
(3) Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$
(4) Both $A$ and $R$ are correct but $R$ is NOT the correct explanation of $A$